Successive robust design optimization of an electronic connector

Size: px
Start display at page:

Download "Successive robust design optimization of an electronic connector"

Transcription

1 Successive robust design optimization of an electronic connector Dirk Roos dynardo dynamic software and engineering GmbH Ralf Hoffmann & Thomas Liebl Tyco Electronics AMP GmbH

2 Design for Six Sigma Six Sigma is a concept to optimize the manufacturing processes such that they automatically produce parts conforming with six sigma quality Design for Six Sigma is a concept to optimize the design such that the parts conform with six sigma quality, i.e. quality and reliability are explicit optimization goals 2 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

3 Robust Design Optimization Objective function and additional stochastic constraints 3 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

4 Successive Robust Design Optimization Material limit Limit state function 4 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

5 Process integration reads and writes parametric data to and from all ASCII input of any external solver reads binary parametric data from ABAQUS odb format reads and writes parametric data to EXCEL, CATIA and ANSYS Workbench ANSYS Workbench reads and writes parametric data to and from many CAD software in order to explore a wide range of responses based on a limited number of actual solutions: Autodesk Inventor, CATIA SolidWorks, Solid Edge, Mechanical Desktop, Unigraphics and Pro/ENGINEER 5 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

6 Process integration CAD / PDM ANSYS Workbench Structural Mechanics - Fluid Dynamics - Heat Transfer - Electromagnetics An adaptable multi-physics design and analysis system that integrates and coordinates different simulation tasks Sensitivity Robustness Optimization Reliability Robust Design 6 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

7 Workflow Optimization, Robustness & Reliability Analysis Tyco Electronics CAD-Model (UG;ProE) CAD-Parameter CAD Plug In ANSYS - Workbench Parameter exchange 3D Tolerance Simulation (CeTol) Kinematic Model With rigid body Statistical function ofer geometric parameter Input datas from CeTol into Design Explorer / OptiSlang Process datas Result: statistical function of functional parameter Mathematical model to perform forecast of Robustness & Reliability Geometry-Tolerance Analysis and comparison with manufacturing 7 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

8 Connector Problem description 8 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008 Basic Design Idea: 2 rows with double contacts (2x 10 Contact points) Contact reliablity increased due to parallel contact points Problem description: Contact of each spring and all other springs influenced to each other Contact force influenced by Body deformation Status quo: Optimization and Robustness Analysis by Design Explorer Question: optimized Design to meet contact force > 1N Reliability of optimized Design

9 Connector Problem description ProE CAD model (with 36 design CAD parameters) ANSYS Workbench model (with 10 contact force response parameters) 9 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

10 Connector Problem description ProE CAD model (with n=36 design CAD parameters) ANSYS Workbench model (with 10 contact force response parameters) Design Explorer only reduced model possible Study single spring DX / optislang Study reduced model DX Study full model optislang 10 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

11 Model single spring Ansys Workbench Simulation Model single spring with Input Geometry Parameter and Result Force Tab (front; rear) most important aim: set up workflow CAD-ANSYS- optislang 11 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

12 Model single spring Comparison Results Design Explorer <-> optislang Response Surface Design Optimization DOE-Design sample type m Goal Driven Opimization d_y1 d_y2 F1 RSO F1 diff F2 RSO F2 diff F1/F1 targ F2/F2 targ CCD CCD Auto Defined % % 97.8% 116.3% CCD G-optimized % % 93.0% 93.0% Opt Space Filling Auto Defined % % 95.7% 101.0% Opt Space Filling full quadratic % % 92.8% 106.6% ARSM OptiSlang CCD Aadaptive % % 100.0% 100.0% 12 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

13 Design Explorer Analysis Design Explorer Analysis of Connector with reduced parameter model Input Parameter: (outside and inner springs linked together) Response Parameter: 13 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

14 Design Explorer Analysis of Connector with reduced parameter model Optimization reduced parameter model Target: F > 3N (1N+3s) ( y3=0.01 ) Design Explorer Analysis 14 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

15 Design Explorer Analysis Design Explorer Analysis of Connector with reduced parameter model Robust Design Analysis; Reliability Estimation DOE Central Composite Design mean s UGW OGW F1ov F2ov F3ov F4ov F5ov F1oh F2oh F3oh F4oh F5oh % 95.00% 90.00% 85.00% 80.00% 75.00% 70.00% 65.00% 60.00% 55.00% 50.00% % 95.00% 90.00% 85.00% 80.00% 75.00% 70.00% 65.00% 60.00% 55.00% 50.00% Probability Function front contact all >=4 >=3 >=2 >=1 Probability Function rear contact all >=4 >=3 >=2 >=1 Reliability Target failed 15 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

16 Iterative RDO with optislang ProE CAD model (with n=36 design CAD parameters) ANSYS Workbench model (with 10 contact force response parameters) ANSYS Workbench finite element model with mean number of nodes of Mean calculation time 1 2 Xeon 2.66 GHz CPU 16 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

17 Step 1 - Robustness analysis n=31 random CAD parameters Global variance-based robustness analysis Advanced latin hypercube sampling with N=90 parallel finite element calculations Calculation time 20 hours with Distributed calculation of ANSYS Workbench on 8 Xeon 2.66 GHz CPUs 17 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

18 Step 1 - Robustness analysis First global variancebased robustness evaluation Identification of n=15 most important design parameters 18 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

19 Step 1 - Robustness analysis Performance critical contact force F3o_v With failure probability of 89 %! Large Number of numerical outliers 19 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

20 Step 2 - Optimization n=15 most important CAD design parameters Deterministic optimization Minimal distance function approach defines optimal weighted objectives with objective term definition & scaling & weights Target contact forces are result from six sigma analysis based on the histograms 20 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

21 Step 2 - Optimization Adaptive response surface method with D-optimal linear DOE N=126 parallel finite element calculations Calculation time 25 hours with Distributed calculation of ANSYS Workbench on 8 Xeon 2.66 GHz CPUs 21 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

22 Step 2 - Optimization Stagnation of the objective improvement after the 5th adaption Performance critical contact force F3o_v 22 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

23 Step 3 feasible design search Introducing of constraints to obtain a feasible start design Using an Evolutionary Algorithm N=391 parallel finite element calculations Calculation time 80 hours 23 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

24 Step 3 feasible design search Increasing the performance critical contact force F3o_v 1.6 N -> 2.3 N Decreasing of the non-critical contact force F2o_h 3.1 N -> 1.0 N 24 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

25 Step 4 Design improvement Target: Increasing of the non-critical contact force F2o_h Adaptive response surface method with D-optimal linear DOE Start design is based on best design resulting the EA optimization Start design range only 20 % of the total design space N=172 parallel finite element calculations Calculation time 35 hours 25 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

26 Step 4 Design improvement Increasing the non-critical contact force F2o_h 3.1 N -> 1.0 N -> 1.6 N All mean contact forces are larger than the limit state of 1 N! 26 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

27 Step 5 - Robustness analysis n=36 random CAD parameters Global variance-based robustness analysis of the optimized design Advanced latin hypercube sampling with N=50 parallel finite element calculations Calculation time 10 hours 27 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

28 Step 5 - Robustness analysis 28 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

29 Step 5 - Robustness analysis Performance critical contact force F3o_v With failure probability 9 %! Contact force F2o_h with failure probability 1 %! 29 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

30 Results Robustness Analysis Failure probabilities of the other contact forces lesser than 1% Design without numerical outliers 30 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

31 Step 6 - Reliability analysis Identification of n=12 most important random parameters using coefficients of importance Defining the limit state condition for violation the minimal number of 10 contact forces More than 50% of the contact forces are lesser than 1N Using APDL command 31 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

32 Step 6 - Reliability analysis Reliability analysis using ARSM with N=137 D-optimal design of experiment Adaptive sampling on the MLS surrogate model without samples in the unsafe domain Probability of failure is near zero Optimized design is an Six Sigma Design 32 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

33 Results Variance and probability-based robust design optimization with n=36 random CAD parameters Increasing the performance critical contact force F3o_v according failure probability 89% -> 9% Failure probabilities of the other contact forces lesser than 1% System failure probability (more than 50% of the contact forces are lesser than 1) is near zero! (Six Sigma Design) Optimized design without numerical outliers N=950 parallel finite element calculations Total calculation time 1 week 33 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

34 Benefits significance of robust design optimization Identify product design parameters that are critical to achieve a performance characteristic Quantify the effect of variations on product behavior and performance Adjust the design parameter to hit the target performance Reduces product cost Understanding potential sources of variations Minimize the effect of variations (noise) Qualify possible steps to desensitize the design to these variations More robust and affordable designs Cost-effective quality inspection No inspection for parameters that are not critical to performance 34 Weimarer Optimierungs- und Stochastiktage 5.0, 20./21. November 2008

Kalibrierung von Materialparametern und Optimierung eines Elektromotors mit optislang

Kalibrierung von Materialparametern und Optimierung eines Elektromotors mit optislang Kalibrierung von Materialparametern und Optimierung eines Elektromotors mit optislang ----------------------------------------------------------------- Calibration of material parameters and optimization

More information

Initial Design and Optimization of Turbomachinery with CFturbo and optislang

Initial Design and Optimization of Turbomachinery with CFturbo and optislang Initial Design and Optimization of Turbomachinery with CFturbo and optislang Sebastian Stübing, Gero Kreuzfeld, Ralph-Peter Müller (CFturbo) Stefan Marth, Michael Schimmelpfennig (Dynardo) page 1/21 Contents

More information

CoCreate OneSpace.net 3D CAD Conversion

CoCreate OneSpace.net 3D CAD Conversion CoCreate 3D This document contains the individual conversion specifications Table of Contents CATIA V4 4.2 to conversion Unigraphics NX2 to conversion Pro/E Wildfire to conversion I-DEAS MS10 to conversion

More information

Statistics on Structures 3. Robustness evaluation in CAE with software optislang and Statistics on Structures Application examples New features

Statistics on Structures 3. Robustness evaluation in CAE with software optislang and Statistics on Structures Application examples New features Statistics on Structures 3 Robustness evaluation in CAE with software optislang and Statistics on Structures Application examples New features Robustness: Definition of uncertainties Translate knowledge

More information

CAD Import Module and LiveLink for CAD V4.3a

CAD Import Module and LiveLink for CAD V4.3a CAD Import Module and LiveLink for CAD V4.3a LiveLink for AutoCAD, LiveLink for Creo Parametric, LiveLink for Inventor, LiveLink for Pro/ENGINEER, LiveLink for Solid Edge, LiveLink for SolidWorks, LiveLink

More information

Technology Update: Workbench, Geometry, Meshing, Workflow. ANSYS Users Group Meeting Prague, 2011

Technology Update: Workbench, Geometry, Meshing, Workflow. ANSYS Users Group Meeting Prague, 2011 Technology Update: Workbench, Geometry, Meshing, Workflow ANSYS Users Group Meeting Prague, 2011 1 Andreas Kolms Hannover 2 Agenda Workbench Geometry Meshing Workflow 3 The Path to Robust Design Optimization

More information

Design & Drafting Services

Design & Drafting Services Design & Drafting Services 1. Mechanical CAD Services 1. Mechanical CAD Services Mechanical Design Services: Custom machine design Packaging machine design Mechanism design Machine tool design Material

More information

High Speed Concept Development: full parametric surface modelling and automatic creation of simulation models using the Fast Concept Modeller (FCM)

High Speed Concept Development: full parametric surface modelling and automatic creation of simulation models using the Fast Concept Modeller (FCM) High Speed Concept Development: full parametric surface modelling and automatic creation of simulation models using the Fast Concept Modeller (FCM) Thomas Schmid 1, Dhruv Dhandhania 1* 1 ForceFive AG,

More information

Best practices for efficient HPC performance with large models

Best practices for efficient HPC performance with large models Best practices for efficient HPC performance with large models Dr. Hößl Bernhard, CADFEM (Austria) GmbH PRACE Autumn School 2013 - Industry Oriented HPC Simulations, September 21-27, University of Ljubljana,

More information

FLUX / GOT-It Finite Element Analysis of electromagnetic devices Maccon GmbH

FLUX / GOT-It Finite Element Analysis of electromagnetic devices Maccon GmbH FLUX / GOT-It Finite Element Analysis of electromagnetic devices Maccon GmbH Entwurfswerkzeuge für elektrische Maschinen MACCON GmbH 09/04/2013 1 Flux software Modeling electromagnetic and thermal phenomena

More information

Your CAD Programme. Virtually all 3D Rapid Prototyping machines and 3D Printers use the STL file format for input.

Your CAD Programme. Virtually all 3D Rapid Prototyping machines and 3D Printers use the STL file format for input. Export STL Files From Your CAD Programme Introduction Virtually all 3D Rapid Prototyping machines and 3D Printers use the STL file format for input. Almost all CAD programs have a way to save or export

More information

FEAWEB ASP Issue: 1.0 Stakeholder Needs Issue Date: 03/29/2000. 04/07/2000 1.0 Initial Description Marco Bittencourt

FEAWEB ASP Issue: 1.0 Stakeholder Needs Issue Date: 03/29/2000. 04/07/2000 1.0 Initial Description Marco Bittencourt )($:(%$63 6WDNHKROGHU1HHGV,VVXH 5HYLVLRQ+LVWRU\ 'DWH,VVXH 'HVFULSWLRQ $XWKRU 04/07/2000 1.0 Initial Description Marco Bittencourt &RQILGHQWLDO DPM-FEM-UNICAMP, 2000 Page 2 7DEOHRI&RQWHQWV 1. Objectives

More information

Design optimisation of an impeller with CFD and Meta-Model of optimal Prognosis (MoP)

Design optimisation of an impeller with CFD and Meta-Model of optimal Prognosis (MoP) Design optimisation of an impeller with CFD and Meta-Model of optimal Prognosis (MoP) Florian Frese Voith Turbo Aufladungssysteme, Germany Johannes Einzinger ANSYS, Germany Johannes Will Dynardo, Germany

More information

Titelmasterformat durch Klicken bearbeiten

Titelmasterformat durch Klicken bearbeiten Titelmasterformat durch Klicken bearbeiten ANSYS AIM Product simulation for every engineer Erke Wang CADFEM GmbH Georg Scheuerer ANSYS Germany GmbH Christof Gebhardt CADFEM GmbH All products involve multiple

More information

isight-fd Overview Engineous Software 2008 European Symposium and Seminar Series Holger Wenzel Engineous Software GmbH Engineous Software, Inc.

isight-fd Overview Engineous Software 2008 European Symposium and Seminar Series Holger Wenzel Engineous Software GmbH Engineous Software, Inc. Engineous Software 2008 isight-fd Overview European Symposium Holger Wenzel and Seminar Series Engineous Software GmbH Engineous Software, Inc. ENGINEOUS A Dassault Systèmes SOFTWARE, Company INC 14-15

More information

Computer Aided Design and Drafting (CAD)

Computer Aided Design and Drafting (CAD) Oakland Community College 2015-2016 Catalog 1 Computer Aided Design and Drafting (CAD) CAD 1050 Geometric Dimensioning and Tolerancing (GD&T) This course is designed to cover the fundamentals as well as

More information

CAD-BASED DESIGN PROCESS FOR FATIGUE ANALYSIS, RELIABILITY- ANALYSIS, AND DESIGN OPTIMIZATION

CAD-BASED DESIGN PROCESS FOR FATIGUE ANALYSIS, RELIABILITY- ANALYSIS, AND DESIGN OPTIMIZATION CAD-BASED DESIGN PROCESS FOR FATIGUE ANALYSIS, RELIABILITY- ANALYSIS, AND DESIGN OPTIMIZATION K.K. Choi, V. Ogarevic, J. Tang, and Y.H. Park Center for Computer-Aided Design College of Engineering The

More information

Simulation Techniques for Tablet and Mobile Phone Design Bill McGinn; Ansys Senior Application Engineer

Simulation Techniques for Tablet and Mobile Phone Design Bill McGinn; Ansys Senior Application Engineer Simulation Techniques for Tablet and Mobile Phone Design Bill McGinn; Ansys Senior Application Engineer 1 Tablets in our daily lives Tablets are very entertaining, stylish and powerful Shopping, reading,

More information

MULTIDISCIPLINARY DESIGN OPTIMIZATION (MDO) USING ANSA/µETA POSTPROCESSOR AND ISIGHT

MULTIDISCIPLINARY DESIGN OPTIMIZATION (MDO) USING ANSA/µETA POSTPROCESSOR AND ISIGHT MULTIDISCIPLINARY DESIGN OPTIMIZATION (MDO) USING ANSA/µETA POSTPROCESSOR AND ISIGHT Frederic KRABCHI Simulia, France Abstract: Increasingly, industries are using process automation tools in simulation-based

More information

Benchmark Test Reveals Best CAD Tool for Assembly Performance

Benchmark Test Reveals Best CAD Tool for Assembly Performance Benchmark Test Reveals Best CAD Tool for Assembly Performance Speed is everything in product development, especially when it comes to creating and managing large assemblies. And while some 3D CAD vendors

More information

Parametric Technology Corporation. Pro/ENGINEER Wildfire 4.0 Tolerance Analysis Extension Powered by CETOL Technology Reference Guide

Parametric Technology Corporation. Pro/ENGINEER Wildfire 4.0 Tolerance Analysis Extension Powered by CETOL Technology Reference Guide Parametric Technology Corporation Pro/ENGINEER Wildfire 4.0 Tolerance Analysis Extension Powered by CETOL Technology Reference Guide Copyright 2007 Parametric Technology Corporation. All Rights Reserved.

More information

MCADD COURSE STRUCTURE

MCADD COURSE STRUCTURE MCADD COURSE STRUCTURE S.No Course code Software used Duration Master Diploma in Product Design and Analysis 1 MCADD MD40 CATIA V5 +NX CAD +NX CAM +Ansys +PPM Concepts +MSP 2010 (mechanical)+gd & T 360

More information

ME 521 Computer Aided Design. 1. Introduction to CAD

ME 521 Computer Aided Design. 1. Introduction to CAD Computer Aided Design Yrd.Doç. e mail: azsenalp@gyte.edu.tr Makine Mühendisliği Bölümü Gebze Yüksek Teknoloji Enstitüsü Basic Definitions CAD: Computer Aided Design is the use of computer technology for

More information

Online Design Training

Online Design Training Online Design Training PowerPoint Template www.themeart.com Abaqus Course Content Course Objective To empower the participants with confidence and skill to knock the door of real world! Online Training

More information

PARAMETRIC MODELING. David Rosen. December 1997. By carefully laying-out datums and geometry, then constraining them with dimensions and constraints,

PARAMETRIC MODELING. David Rosen. December 1997. By carefully laying-out datums and geometry, then constraining them with dimensions and constraints, 1 of 5 11/18/2004 6:24 PM PARAMETRIC MODELING David Rosen December 1997 The term parametric modeling denotes the use of parameters to control the dimensions and shape of CAD models. Think of a rubber CAD

More information

High-end FEA pre/postprocessor

High-end FEA pre/postprocessor Advanced FEM: High-end FEA pre/postprocessor NX CAE Benefits Speed analysis modeling processes by up to 70 percent Increase product quality by rapidly simulating design trade-off studies Lower overall

More information

Selecting the Best Approach to Teach 3D Modeling to Technical College Engineering

Selecting the Best Approach to Teach 3D Modeling to Technical College Engineering Paper ID #12358 Selecting the Best Approach to Teach 3D Modeling to Technical College Engineering Students Dr. Farzin Heidari, Texas A&M University, Kingsville c American Society for Engineering Education,

More information

Goal Seeking in Solid Edge

Goal Seeking in Solid Edge Goal Seeking in Solid Edge White Paper Goal Seeking in Solid Edge software offers a fast built-in method for solving complex engineering problems. By drawing and dimensioning 2D free-body diagrams, Goal

More information

Simultaneous Calculation with ANSYS

Simultaneous Calculation with ANSYS Titelmasterformat Simultaneous Calculation durch Klicken with ANSYS bearbeiten Ian Godfrey, Fujitsu, Nico Nagl, Lars Krüger, CADFEM GmbH WOST 2014, Weimar, Nov. 7th Simultaneous Calculation with ANSYS

More information

Customer Training Material. Lecture 2. Introduction to. Methodology ANSYS FLUENT. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved.

Customer Training Material. Lecture 2. Introduction to. Methodology ANSYS FLUENT. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved. Lecture 2 Introduction to CFD Methodology Introduction to ANSYS FLUENT L2-1 What is CFD? Computational Fluid Dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions,

More information

MASTER DEGREE PROJECT

MASTER DEGREE PROJECT MASTER DEGREE PROJECT Finite Element Analysis of a Washing Machine Cylinder Thesis in Applied Mechanics one year Master Degree Program Performed : Spring term, 2010 Level Author Supervisor s Examiner :

More information

Productivity and Return on Investment from SolidWorks 3D CAD Software

Productivity and Return on Investment from SolidWorks 3D CAD Software Productivity and Return on Investment from SolidWorks 3D CAD Software Report prepared for: SolidWorks Corporation August 2006 Prepared by: MIT Sloan School of Management eames@sloan.mit.edu Based on Previous

More information

Variation Analysis as Contribution to the Assurance of Reliable Prognosis in Virtual Product Development. Lectures. Johannes Will

Variation Analysis as Contribution to the Assurance of Reliable Prognosis in Virtual Product Development. Lectures. Johannes Will Lectures Variation Analysis as Contribution to the Assurance of Reliable Prognosis in Virtual Product Development Johannes Will presented at the NAFEMS Conference 2007 Source: www.dynardo.de/en/library

More information

Parametric Modeling: The New CAD Paradigm for Mechanical Designs Randy Shih

Parametric Modeling: The New CAD Paradigm for Mechanical Designs Randy Shih Parametric Modeling: The New CAD Paradigm for Mechanical Designs Randy Shih There is a new kid on the block in the arena of mechanical CAD technology, and that new kid has already formed a new paradigm

More information

T-FLEX Parametric CAD is a full-function software system providing mechanical design professionals with the tools they need for today's complex

T-FLEX Parametric CAD is a full-function software system providing mechanical design professionals with the tools they need for today's complex T-FLEX Parametric CAD is a full-function software system providing mechanical design professionals with the tools they need for today's complex design challenges. It unites powerful parametric 3D modeling

More information

Creo Elements/Direct CAD Interfaces

Creo Elements/Direct CAD Interfaces Data Sheet Creo Elements/Direct CAD Interfaces Bi-directional CAD data exchange between Creo Elements/Direct Modeling, Creo Elements/Direct 3D Access and other CAD systems With the Creo Elements/Direct

More information

ANSYS for Tablet Computer Design

ANSYS for Tablet Computer Design ANSYS for Tablet Computer Design Steven G. Pytel, PhD. Signal Integrity Product Manager 1 Confidence by Design Chicago, IL June 14, 2012 Tablets in our daily lives Tablets are very entertaining, stylish

More information

PRODUCT BROCHURE SPATIAL ANALYZER. Powerful, traceable and easy-to-use metrology and analysis software

PRODUCT BROCHURE SPATIAL ANALYZER. Powerful, traceable and easy-to-use metrology and analysis software PRODUCT BROCHURE SPATIAL ANALYZER Powerful, traceable and easy-to-use metrology and analysis software SPATIAL ANALYZER SpatialAnalyzer (SA) is a powerful, traceable and easy to use metrology and analysis

More information

Topology optimization based on graph theory of crash loaded flight passenger seats

Topology optimization based on graph theory of crash loaded flight passenger seats 7. LS-DYNA Anwenderforum, Bamberg 2008 Optimierung III Topology optimization based on graph theory of crash loaded flight passenger seats Axel Schumacher, Christian Olschinka, Bastian Hoffmann Hamburg

More information

Express Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology

Express Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology Express Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology Dimitrios Sofialidis Technical Manager, SimTec Ltd. Mechanical Engineer, PhD PRACE Autumn School 2013 - Industry

More information

CAGILA 2D and 3D software

CAGILA 2D and 3D software CAGILA 2D and 3D software CAM-Service does present the new CAGILA 3D software. Beside all common data formats like STEP, IGES, VDAFS, CAGILA 3D also supports interfaces for popular native formats like

More information

Rapid Design of an optimized Radial Compressor using CFturbo and ANSYS

Rapid Design of an optimized Radial Compressor using CFturbo and ANSYS Rapid Design of an optimized Radial Compressor using CFturbo and ANSYS Enrique Correa, Marius Korfanty, Sebastian Stübing CFturbo Software & Engineering GmbH, Dresden (Germany) PRESENTATION TOPICS 1. Company

More information

Plastics made perfect

Plastics made perfect Plastics made perfect Validation and optimization of plastic parts Innovative plastic resins and functional plastic part designs are on the rise in almost every industry. Plastics and fiber-filled composites

More information

Least Squares Estimation

Least Squares Estimation Least Squares Estimation SARA A VAN DE GEER Volume 2, pp 1041 1045 in Encyclopedia of Statistics in Behavioral Science ISBN-13: 978-0-470-86080-9 ISBN-10: 0-470-86080-4 Editors Brian S Everitt & David

More information

Performance Comparison of ISV Simulation Codes on Microsoft Windows HPC Server 2008 and SUSE Linux Enterprise Server 10.2

Performance Comparison of ISV Simulation Codes on Microsoft Windows HPC Server 2008 and SUSE Linux Enterprise Server 10.2 Fraunhofer Institute for Algorithms and Scientific Computing SCAI Performance Comparison of ISV Simulation Codes on Microsoft HPC Server 28 and SUSE Enterprise Server 1.2 Karsten Reineck und Horst Schwichtenberg

More information

Signpost the Future: Simultaneous Robust and Design Optimization of a Knee Bolster

Signpost the Future: Simultaneous Robust and Design Optimization of a Knee Bolster Signpost the Future: Simultaneous Robust and Design Optimization of a Knee Bolster Tayeb Zeguer Jaguar Land Rover W/1/012, Engineering Centre, Abbey Road, Coventry, Warwickshire, CV3 4LF tzeguer@jaguar.com

More information

STL GENERATION INTRODUCTION TO STL. Written by Greta D Angelo

STL GENERATION INTRODUCTION TO STL. Written by Greta D Angelo STL GENERATION Written by Greta D Angelo In this section: An introduction on.stl files How to make good.stl files How to make.stl on different softwares (Solidworks, PTC Creo, Rhinoceros 5, Autodesk Inventor)

More information

ME6130 An introduction to CFD 1-1

ME6130 An introduction to CFD 1-1 ME6130 An introduction to CFD 1-1 What is CFD? Computational fluid dynamics (CFD) is the science of predicting fluid flow, heat and mass transfer, chemical reactions, and related phenomena by solving numerically

More information

Effect of Sleeve Shrink-fit on Bearing Preload of a Machine Tool Spindle: Analysis using Finite Element Method

Effect of Sleeve Shrink-fit on Bearing Preload of a Machine Tool Spindle: Analysis using Finite Element Method Effect of Sleeve Shrink-fit on Bearing Preload of a Machine Tool Spindle: Analysis using Finite Element Method Aslam Pasha Taj 1, Chandramouli SR 2* ACE Designers Limited, Peenya Industrial Area, Bangalore-560058

More information

AutoCAD 3D. MicroStation. Courseware Issued (Optional) AutoCAD (30 Days Trial Version) Reference Guide Project Workbook

AutoCAD 3D. MicroStation. Courseware Issued (Optional) AutoCAD (30 Days Trial Version) Reference Guide Project Workbook 2D CAD Introduction Isometric drawings File management Perspective drawings Orthographic drawings Annotations and Dimensions View management Team work Display management Layout management Layer management

More information

TWO-DIMENSIONAL FINITE ELEMENT ANALYSIS OF FORCED CONVECTION FLOW AND HEAT TRANSFER IN A LAMINAR CHANNEL FLOW

TWO-DIMENSIONAL FINITE ELEMENT ANALYSIS OF FORCED CONVECTION FLOW AND HEAT TRANSFER IN A LAMINAR CHANNEL FLOW TWO-DIMENSIONAL FINITE ELEMENT ANALYSIS OF FORCED CONVECTION FLOW AND HEAT TRANSFER IN A LAMINAR CHANNEL FLOW Rajesh Khatri 1, 1 M.Tech Scholar, Department of Mechanical Engineering, S.A.T.I., vidisha

More information

Siemens PLM Software FEMAP. Powering today s most advanced engineering analysis environment. siemens.com/plm/femap

Siemens PLM Software FEMAP. Powering today s most advanced engineering analysis environment. siemens.com/plm/femap Siemens PLM Software FEMAP Powering today s most advanced engineering analysis environment siemens.com/plm/femap Best-in-class digital simulation Why digital simulation? Industry pressure to reduce costs

More information

OpenFOAM Optimization Tools

OpenFOAM Optimization Tools OpenFOAM Optimization Tools Henrik Rusche and Aleks Jemcov h.rusche@wikki-gmbh.de and a.jemcov@wikki.co.uk Wikki, Germany and United Kingdom OpenFOAM Optimization Tools p. 1 Agenda Objective Review optimisation

More information

LMS Virtual.Lab Realistic Simulation in CATIA V5. Why CAE? Design-Right/First-Time

LMS Virtual.Lab Realistic Simulation in CATIA V5. Why CAE? Design-Right/First-Time LMS Virtual.Lab Realistic Simulation in CATIA V5 Why CAE? Design-Right/First-Time LMS Company Background Three Primary Business Areas 2 LMS Engineering Engineering Consulting and Test Services 1 LMS Research

More information

Modern CAD/CAE/CAM Tools and Their Applications

Modern CAD/CAE/CAM Tools and Their Applications MECH 410 and MECH520 Computer-Aided Design Introduction Modern CAD/CAE/CAM Tools and Their Applications CAD (Mechanical Design Automation) State of the Art An Essential Tool for Mech. Design and Drafting

More information

SOFTWARE FOR 3D IMAGE VISUALISATION, ANALYSIS AND MODEL GENERATION

SOFTWARE FOR 3D IMAGE VISUALISATION, ANALYSIS AND MODEL GENERATION SOFTWARE FOR 3D IMAGE VISUALISATION, ANALYSIS AND MODEL GENERATION Solutions for Life Sciences SIMPLEWARE SOFTWARE Simpleware provides easy-to-use software solutions for the processing of 3D image data

More information

ANSYS Computing Platform Support. July 2013

ANSYS Computing Platform Support. July 2013 ANSYS Computing Platform Support July 2013 1 Outline Computing platform trends and support roadmap Windows Linux Solaris ANSYS 14.5 Platform Support By application Other Platform Related Issues MPI and

More information

Parallel Computing for Option Pricing Based on the Backward Stochastic Differential Equation

Parallel Computing for Option Pricing Based on the Backward Stochastic Differential Equation Parallel Computing for Option Pricing Based on the Backward Stochastic Differential Equation Ying Peng, Bin Gong, Hui Liu, and Yanxin Zhang School of Computer Science and Technology, Shandong University,

More information

Finite Element Method (ENGC 6321) Syllabus. Second Semester 2013-2014

Finite Element Method (ENGC 6321) Syllabus. Second Semester 2013-2014 Finite Element Method Finite Element Method (ENGC 6321) Syllabus Second Semester 2013-2014 Objectives Understand the basic theory of the FEM Know the behaviour and usage of each type of elements covered

More information

Common Core Unit Summary Grades 6 to 8

Common Core Unit Summary Grades 6 to 8 Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations

More information

Open Source CFD Solver - OpenFOAM

Open Source CFD Solver - OpenFOAM Open Source CFD Solver - OpenFOAM Wang Junhong (HPC, Computer Centre) 1. INTRODUCTION The OpenFOAM (Open Field Operation and Manipulation) Computational Fluid Dynamics (CFD) Toolbox is a free, open source

More information

Model Order Reduction for Linear Convective Thermal Flow

Model Order Reduction for Linear Convective Thermal Flow Model Order Reduction for Linear Convective Thermal Flow Christian Moosmann, Evgenii B. Rudnyi, Andreas Greiner, Jan G. Korvink IMTEK, April 24 Abstract Simulation of the heat exchange between a solid

More information

Back to Elements - Tetrahedra vs. Hexahedra

Back to Elements - Tetrahedra vs. Hexahedra Back to Elements - Tetrahedra vs. Hexahedra Erke Wang, Thomas Nelson, Rainer Rauch CAD-FEM GmbH, Munich, Germany Abstract This paper presents some analytical results and some test results for different

More information

Mixed Precision Iterative Refinement Methods Energy Efficiency on Hybrid Hardware Platforms

Mixed Precision Iterative Refinement Methods Energy Efficiency on Hybrid Hardware Platforms Mixed Precision Iterative Refinement Methods Energy Efficiency on Hybrid Hardware Platforms Björn Rocker Hamburg, June 17th 2010 Engineering Mathematics and Computing Lab (EMCL) KIT University of the State

More information

Introduction to General and Generalized Linear Models

Introduction to General and Generalized Linear Models Introduction to General and Generalized Linear Models General Linear Models - part I Henrik Madsen Poul Thyregod Informatics and Mathematical Modelling Technical University of Denmark DK-2800 Kgs. Lyngby

More information

Computer Graphics. Geometric Modeling. Page 1. Copyright Gotsman, Elber, Barequet, Karni, Sheffer Computer Science - Technion. An Example.

Computer Graphics. Geometric Modeling. Page 1. Copyright Gotsman, Elber, Barequet, Karni, Sheffer Computer Science - Technion. An Example. An Example 2 3 4 Outline Objective: Develop methods and algorithms to mathematically model shape of real world objects Categories: Wire-Frame Representation Object is represented as as a set of points

More information

Recent Advances in HPC for Structural Mechanics Simulations

Recent Advances in HPC for Structural Mechanics Simulations Recent Advances in HPC for Structural Mechanics Simulations 1 Trends in Engineering Driving Demand for HPC Increase product performance and integrity in less time Consider more design variants Find the

More information

Bildgebende Verfahren als. Control 2011 Alexander Nolte CADFEM GmbH

Bildgebende Verfahren als. Control 2011 Alexander Nolte CADFEM GmbH Bildgebende Verfahren als Basis für die FEM-Simulation Control 2011 Alexander Nolte CADFEM GmbH CADFEM: FEM Software and Services CADFEM FEM Software & Services 25+ years experience 140+ employees 40 Mio.

More information

Monifysikaalisten ongelmien simulointi Elmer-ohjelmistolla. Simulation of Multiphysical Problems with Elmer Software

Monifysikaalisten ongelmien simulointi Elmer-ohjelmistolla. Simulation of Multiphysical Problems with Elmer Software Monifysikaalisten ongelmien simulointi Elmer-ohjelmistolla Simulation of Multiphysical Problems with Elmer Software Peter Råback Tieteen CSC 25.11.2004 Definitions for this presentation Model Mathematical

More information

Introduction to ANSYS

Introduction to ANSYS Lecture 3 Introduction to ANSYS Meshing 14. 5 Release Introduction to ANSYS Meshing 2012 ANSYS, Inc. March 27, 2014 1 Release 14.5 Introduction to ANSYS Meshing What you will learn from this presentation

More information

Numerical Calculation of Laminar Flame Propagation with Parallelism Assignment ZERO, CS 267, UC Berkeley, Spring 2015

Numerical Calculation of Laminar Flame Propagation with Parallelism Assignment ZERO, CS 267, UC Berkeley, Spring 2015 Numerical Calculation of Laminar Flame Propagation with Parallelism Assignment ZERO, CS 267, UC Berkeley, Spring 2015 Xian Shi 1 bio I am a second-year Ph.D. student from Combustion Analysis/Modeling Lab,

More information

Investigation and Application of Multi-Disciplinary Optimization for. Automotive Body-in-White Development

Investigation and Application of Multi-Disciplinary Optimization for. Automotive Body-in-White Development Investigation and Application of Multi-Disciplinary Optimization for Abstract: Automotive Body-in-White Development Allen Sheldon*, Edward Helwig*, Yong-Bae Cho** * Honda R&D Americas, Inc. ** CSM Software,

More information

Abaqus Technology Brief. Automobile Roof Crush Analysis with Abaqus

Abaqus Technology Brief. Automobile Roof Crush Analysis with Abaqus Abaqus Technology Brief Automobile Roof Crush Analysis with Abaqus TB-06-RCA-1 Revised: April 2007. Summary The National Highway Traffic Safety Administration (NHTSA) mandates the use of certain test procedures

More information

ABAQUS Tutorial. 3D Modeling

ABAQUS Tutorial. 3D Modeling Spring 2011 01/21/11 ABAQUS Tutorial 3D Modeling This exercise intends to demonstrate the steps you would follow in creating and analyzing a simple solid model using ABAQUS CAE. Introduction A solid undergoes

More information

Learning Module 4 - Thermal Fluid Analysis Note: LM4 is still in progress. This version contains only 3 tutorials.

Learning Module 4 - Thermal Fluid Analysis Note: LM4 is still in progress. This version contains only 3 tutorials. Learning Module 4 - Thermal Fluid Analysis Note: LM4 is still in progress. This version contains only 3 tutorials. Attachment C1. SolidWorks-Specific FEM Tutorial 1... 2 Attachment C2. SolidWorks-Specific

More information

Computer Aided Design (CAD), ME 530.414, JHU Professor Dan Stoianovici, dss@jhu.edu

Computer Aided Design (CAD), ME 530.414, JHU Professor Dan Stoianovici, dss@jhu.edu Computer Aided Design (CAD), ME 530.414, JHU Professor Dan Stoianovici, dss@jhu.edu COURSE DESCRIPTION: The course outlines modern solid modeling design, analysis, simulation, and manufacturing of mechanical

More information

BatchMeshing and CAE Data Management as Key Technologies for Six Sigma Compliant CAE Processes for LS-DYNA Simulations

BatchMeshing and CAE Data Management as Key Technologies for Six Sigma Compliant CAE Processes for LS-DYNA Simulations 5. LS-DYNA Anwenderforum, Ulm 2006 Modellierung / Prozessintegration BatchMeshing and CAE Data Management as Key Technologies for Six Sigma Compliant CAE Processes for LS-DYNA Simulations Authors: Dr.

More information

Introduction to Comsol Multiphysics

Introduction to Comsol Multiphysics Introduction to Comsol Multiphysics VERSION 4.2a Benelux COMSOL BV Röntgenlaan 37 2719 DX Zoetermeer The Netherlands +31 (0) 79 363 4230 +31 (0) 79 361 4212 info@comsol.nl www.comsol.nl Denmark COMSOL

More information

Experts in Computational Fluid Dynamics

Experts in Computational Fluid Dynamics Experts in Computational Fluid Dynamics TotalSim Background TotalSim is an independent CFD consultancy firm specialising in aerodynamic and hydrodynamic design and development through the use of open source

More information

List of Problems Solved Introduction p. 1 Concept p. 1 Nodes p. 3 Elements p. 4 Direct Approach p. 5 Linear Spring p. 5 Heat Flow p.

List of Problems Solved Introduction p. 1 Concept p. 1 Nodes p. 3 Elements p. 4 Direct Approach p. 5 Linear Spring p. 5 Heat Flow p. Preface p. v List of Problems Solved p. xiii Introduction p. 1 Concept p. 1 Nodes p. 3 Elements p. 4 Direct Approach p. 5 Linear Spring p. 5 Heat Flow p. 6 Assembly of the Global System of Equations p.

More information

Simulation of Fluid-Structure Interactions in Aeronautical Applications

Simulation of Fluid-Structure Interactions in Aeronautical Applications Simulation of Fluid-Structure Interactions in Aeronautical Applications Martin Kuntz Jorge Carregal Ferreira ANSYS Germany D-83624 Otterfing Martin.Kuntz@ansys.com December 2003 3 rd FENET Annual Industry

More information

ANALYSIS OF GASKETED FLANGES WITH ORDINARY ELEMENTS USING APDL CONTROL

ANALYSIS OF GASKETED FLANGES WITH ORDINARY ELEMENTS USING APDL CONTROL ANALYSIS OF GASKETED FLANGES WITH ORDINARY ELEMENTS USING AP... Page 1 of 19 ANALYSIS OF GASKETED FLANGES WITH ORDINARY ELEMENTS USING APDL CONTROL Yasumasa Shoji, Satoshi Nagata, Toyo Engineering Corporation,

More information

CAD Model Validation in the Product Life Cycle Management

CAD Model Validation in the Product Life Cycle Management CAD Model Validation in the Product Life Cycle Management CAPVIDIA CEO Tomasz Luniewski BOEING is a trademark of Boeing Management Company. GPDIS_Template_2009.ppt 9/23/2009 1 Company Introduction Founded

More information

ANSYS Computing Platform Support. June 2014

ANSYS Computing Platform Support. June 2014 ANSYS Computing Platform Support June 2014 1 Outline Computing platform trends and support roadmap Windows Linux ANSYS 15.0 Platform Support By application Other Platform Related Issues MPI and Interconnect

More information

Multiobjective Robust Design Optimization of a docked ligand

Multiobjective Robust Design Optimization of a docked ligand Multiobjective Robust Design Optimization of a docked ligand Carlo Poloni,, Universitaʼ di Trieste Danilo Di Stefano, ESTECO srl Design Process DESIGN ANALYSIS MODEL Dynamic Analysis Logistics & Field

More information

STATIC STRUCTURAL ANALYSIS OF SUSPENSION ARM USING FINITE ELEMENT METHOD

STATIC STRUCTURAL ANALYSIS OF SUSPENSION ARM USING FINITE ELEMENT METHOD STATIC STRUCTURAL ANALYSIS OF SUSPENSION ARM USING FINITE ELEMENT METHOD Jagwinder Singh 1, Siddhartha Saha 2 1 Student, Mechanical Engineering, BBSBEC, Punjab, India 2 Assistant Professor, Mechanical

More information

CFD Analysis of Swept and Leaned Transonic Compressor Rotor

CFD Analysis of Swept and Leaned Transonic Compressor Rotor CFD Analysis of Swept and Leaned Transonic Compressor Nivin Francis #1, J. Bruce Ralphin Rose *2 #1 Student, Department of Aeronautical Engineering& Regional Centre of Anna University Tirunelveli India

More information

LSCFD: Meshing Tools for Open Source CFD A Practical Point of View

LSCFD: Meshing Tools for Open Source CFD A Practical Point of View LSCFD: Meshing Tools for Open Source CFD A Practical Point of View Juha Kortelainen Report: Meshing Tools for Open Source CFD A Practical Point of View LSCFD Tools for Large Scale

More information

ANSYS Meshing User's Guide

ANSYS Meshing User's Guide ANSYS Meshing User's Guide ANSYS, Inc. Southpointe 275 Technology Drive Canonsburg, PA 15317 ansysinfo@ansys.com http://www.ansys.com (T) 724-746-3304 (F) 724-514-9494 Release 13.0 November 2010 ANSYS,

More information

Convert 2D to 3D in AutoPOL Bend Simulator

Convert 2D to 3D in AutoPOL Bend Simulator Convert 2D to 3D in AutoPOL Bend Simulator This document gives an introduction of how to convert 2D DXF/DWG files into 3D models in AutoPOL Bend simulator. The AutoPOL 3D concept A 3D model with correct

More information

Neue Entwicklungen in LS-OPT/Topology - Ausblick auf Version 2

Neue Entwicklungen in LS-OPT/Topology - Ausblick auf Version 2 Neue Entwicklungen in LS-OPT/Topology - Ausblick auf Version 2 Willem Roux**, Heiner Muellerschoen*, Katharina Witowski* *DYNAmore GmbH **LSTC contact: hm@dynamore.de DYNAmore GmbH Germany http://www.dynamore.de

More information

Customer Training Material. Lecture 4. Meshing in Mechanical. Mechanical. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved.

Customer Training Material. Lecture 4. Meshing in Mechanical. Mechanical. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved. Lecture 4 Meshing in Mechanical Introduction to ANSYS Mechanical L4-1 Chapter Overview In this chapter controlling meshing operations is described. Topics: A. Global Meshing Controls B. Local Meshing Controls

More information

CATIA V5R21 - FACT SHEET

CATIA V5R21 - FACT SHEET CATIA V5R21 - FACT SHEET Introduction What s New at a Glance Overview Detailed Description INTRODUCTION CATIA V5 is the leading solution for product success. It addresses all manufacturing organizations;

More information

SUBJECT: SOLIDWORKS HARDWARE RECOMMENDATIONS - 2013 UPDATE

SUBJECT: SOLIDWORKS HARDWARE RECOMMENDATIONS - 2013 UPDATE SUBJECT: SOLIDWORKS RECOMMENDATIONS - 2013 UPDATE KEYWORDS:, CORE, PROCESSOR, GRAPHICS, DRIVER, RAM, STORAGE SOLIDWORKS RECOMMENDATIONS - 2013 UPDATE Below is a summary of key components of an ideal SolidWorks

More information

0D TO 1D CREATION THROUGH CAD TOOLS

0D TO 1D CREATION THROUGH CAD TOOLS INTERNATIONAL JOURNAL OF MECHANICAL ENGINEERING AND TECHNOLOGY (IJMET) International Journal of Mechanical Engineering and Technology (IJMET), ISSN 0976 6340(Print), ISSN 0976 6340 (Print) ISSN 0976 6359

More information

ANALYTICAL AND EXPERIMENTAL EVALUATION OF SPRING BACK EFFECTS IN A TYPICAL COLD ROLLED SHEET

ANALYTICAL AND EXPERIMENTAL EVALUATION OF SPRING BACK EFFECTS IN A TYPICAL COLD ROLLED SHEET International Journal of Mechanical Engineering and Technology (IJMET) Volume 7, Issue 1, Jan-Feb 2016, pp. 119-130, Article ID: IJMET_07_01_013 Available online at http://www.iaeme.com/ijmet/issues.asp?jtype=ijmet&vtype=7&itype=1

More information

Forecasting methods applied to engineering management

Forecasting methods applied to engineering management Forecasting methods applied to engineering management Áron Szász-Gábor Abstract. This paper presents arguments for the usefulness of a simple forecasting application package for sustaining operational

More information

THREE-DIMENSIONAL INSERT MOLDING SIMULATION IN INJECTION MOLDING

THREE-DIMENSIONAL INSERT MOLDING SIMULATION IN INJECTION MOLDING THREE-DIMENSIONAL INSERT MOLDING SIMULATION IN INJECTION MOLDING Rong-Yeu Chang* National Tsing-Hua University, HsinChu, Taiwan 30043, ROC Yi-Hui Peng, David C.Hsu and Wen-Hsien Yang CoreTech System Co.,Ltd.,

More information

Multiphysics Software Applications in Reverse Engineering

Multiphysics Software Applications in Reverse Engineering Multiphysics Software Applications in Reverse Engineering *W. Wang 1, K. Genc 2 1 University of Massachusetts Lowell, Lowell, MA, USA 2 Simpleware, Exeter, United Kingdom *Corresponding author: University

More information

Mathematics (MAT) MAT 061 Basic Euclidean Geometry 3 Hours. MAT 051 Pre-Algebra 4 Hours

Mathematics (MAT) MAT 061 Basic Euclidean Geometry 3 Hours. MAT 051 Pre-Algebra 4 Hours MAT 051 Pre-Algebra Mathematics (MAT) MAT 051 is designed as a review of the basic operations of arithmetic and an introduction to algebra. The student must earn a grade of C or in order to enroll in MAT

More information