Introduction to the Finite Element Method

Size: px
Start display at page:

Download "Introduction to the Finite Element Method"

Transcription

1 AL- F A L A H S C H O O L O F E N G I N E E R I N G A N D T E C H N O L O G Y D E P A R T M E N T O F M E C H A N I C A L E N G I N E E R I N G M A S T E R O F T E C H N O L O G Y ( M A C H I N E D E S I G N ) 1 Introduction to the Finite Element Method

2 M. Tech (FEM - Syllabus) 2 Paper Code: M-847-A Theory: 100 Marks Sessional: 50 Marks

3 FEM - BOOKS 3 1. Introduction to Finite Elements in Engineering Analysis by Tirupathi R. Chandruipatala and Ashok R. Belagundu. Prentice Hall. 2. The Finite Element Method in Engineering by S.S.Rao, Peragamon Press, Oxford. 3. Finite Element Procedures, by Klaus Jurgen Bathi, Prentice Hall. 4. The Finite Element Method by Zienkiewicz published by Mc Graw Hill. 5. An Introduction to Finite Element Method by J.N. Reddy published by Mc Graw Hill. 6. Fundamentals of the Finite Element Method for Heat and Fluid Flow by Roland W. Lewis, Perumal Nithiarasu, Kankanhalli N. Seetharamu by John Wiley.

4 Basic Concepts The finite element method (FEM), or finite element analysis (FEA), is based on the idea of building a complicated object with simple blocks, or, dividing a complicated object into small and manageable pieces. Application of this simple idea can be found everywhere in everyday life, as well as in engineering. 4 Examples

5 Best Example Of Fem 5 Blades in turbine engines are typical examples

6 FEM Examples 6

7 Numerical Methods: 1. Introduction to FEM 7

8 1.1 Applications 8 A diversity of specializations under the union of the mechanical engineering discipline (such as aeronautical, biomechanical, and automotive industries) commonly use integrated FEM in design and development of their products. Several modern FEM packages include specific components such as thermal, electromagnetic, fluid, and structural working environments. In a structural simulation, FEM helps tremendously in producing stiffness and strength visualizations and also in minimizing weight, materials, and costs.

9 Applications 9 Cont FEM allows detailed visualization of where structures bend or twist, and indicates the distribution of stresses and displacements. FEM software provides a wide range of simulation options for controlling the complexity of both modeling and analysis of a system. Similarly, the desired level of accuracy required and associated computational time requirements can be managed simultaneously to address most engineering applications. FEM allows entire designs to be constructed, refined, and optimized before the design is manufactured.

10 Applications 10 Cont This powerful design tool has significantly improved both the standard of engineering designs and the methodology of the design process in many industrial applications. The introduction of FEM has substantially decreased the time to take products from concept to the production line. It is primarily through improved initial prototype designs using FEM that testing and development have been accelerated. In summary, benefits of FEM include increased accuracy, enhanced design and better insight into critical design parameters, virtual prototyping, fewer hardware prototypes, a faster and less expensive design cycle, increased productivity, and increased revenue.

11 1.2 Visualization (Applications) 11 Visualization of how a car deforms in an asymmetrical crash using finite element analysis

12 1.3 Structural Analysis 12

13 1.4 Thermal System Analysis 13

14 1.5 Flow Analysis 14

15 A. Rolling 1.6 Thermomechanical Process Analysis 15 B. Forging C. Injection Molding

16 Academics Research Work On 16 Industry B. Tech M. Tech Phd R&D Department Research Journals Conferences National Journals International Journals National Conferences International Conferences Concepts, Designs, Developments, Manufacturing, Renovation, Innovations

17 2 General Procedure of FEM 17

18 General Procedure of FEM 18

19 General Procedure of FEM 19

20 2.1 Finite Element Formulations Direct approach for discrete systems 20 Direct approach has the following features: It applies physical concept (e.g. force equilibrium, energy conservation, mass conservation, etc.) directly to discretized elements. It is easy in its physical interpretation. It does not need elaborate sophisticated mathematical manipulation or concept. Its applicability is limited to certain problems for which equilibrium or conservation law can be easily stated in terms of physical quantities one wants to obtain. In most cases, discretized elements are self-obvious in the physical sense.

21 2.1 Finite Element Formulations Coordinate Transformation approach 21 In many cases, one can introduce a local coordinate system associated with each element in addition to a global coordinate system. A local coordinate system can be defined in many cases in a self-obvious way inherent to the element itself. It is much easier to determine the stiffness matrix with respect to the local coordinate system of an element than with respect to the global coordinate system. The stiffness matrix with respect to the local coordinate system is to be transformed to that with respect to the global coordinate system before the assembly procedure. i) Vector Transformation in 2-D. ii) Transformation of stiffness matrix.

22 2.1 Finite Element Formulations Direct approach for Elasticity Problem (plane stress, plane strain) In this section, we are concerned about an elastic deformation problem in twodimensional continuous media (therefore, not a discrete system) Assembly Procedure The assembly procedure is based on compatibility and conservation law (e.g. force balance, mass conservation and energy conservation) Variational Approach in Finite Element Formulation Differential formulation, physical phenomena can be described in terms of minimization of total energy (or functional) associated with the problem, which is called variational formulation.

23 2.1 Finite Element Formulations Principle of Minimum Total Potential Energy 23 There is a very important physical principle to describe a deformation process of an elastic body, namely Principle of Minimum Total Potential Energy, which can be summarized as below:

24 Finite Element Method versus Rayleigh-Ritz Method 24 One of the historically famous approximate methods for this kind of problem is Rayleigh-Ritz Method, and the other modern method is the Finite Element method. Here we will discuss both methods with the comparison in mind. i) Rayleigh-Ritz Method: This method is very simple and easy to understand. However, it is not easy to find a family of trial functions for the entire domain satisfying the essential boundary conditions when geometry is complicated. ii) Finite Element Method: In this case, the shape functions can be found more easily than the trial functions without having to worry about satisfying the essential boundary conditions, which makes FEM much more useful than Rayleigh-Ritz Method. In this regard, the Finite Element Method is a modernized approximation method suitable for computer environment.

25 3 Shape Functions And Discretization 25 We will discuss the element types, shape functions and discretization in this section. It is important to be able to select an element type which is most suitable for the problem of interest, and to determine the shape functions for the chosen element type. Finally, automatic mesh generation techniques are, in practical sense, also important to finite element analysis applications. 3.1 Element Types i) One-dimensional Elements

26 3 Shape Functions And Discretization ii) Two-dimensional Elements 26

27 3 Shape Functions And Discretization iii) Three-dimensional Elements 27

28 4 Natural Coordinates 28 Note that N (x, y) in our current form is represented in terms of the nodal coordinates (xi, yi ) and a global coordinate (x, y). One can have a better form in terms of so-called Natural Coordinate, in particular for triangular type of elements (or Normalized Coordinate for a quadrilateral type of elements ). 1) One-dimensional case

29 4 Natural Coordinates 29 2) Two-dimensional case 3) Three-dimensional case

30 5 Normalized coordinate 30

31 6 Shape functions (Examples) Shape functions for several quadrilateral elements are summarized below: 31

32 6 Shape functions (Examples) 32

33 6 Shape functions (Examples) 33

34 7 Exercise 34

35 QUESTIONS 35

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

CAE -Finite Element Method

CAE -Finite Element Method 16.810 Engineering Design and Rapid Prototyping Lecture 3b CAE -Finite Element Method Instructor(s) Prof. Olivier de Weck January 16, 2007 Numerical Methods Finite Element Method Boundary Element Method

More information

Finite Element Methods (in Solid and Structural Mechanics)

Finite Element Methods (in Solid and Structural Mechanics) CEE570 / CSE 551 Class #1 Finite Element Methods (in Solid and Structural Mechanics) Spring 2014 Prof. Glaucio H. Paulino Donald Biggar Willett Professor of Engineering Department of Civil and Environmental

More information

An Overview of the Finite Element Analysis

An Overview of the Finite Element Analysis CHAPTER 1 An Overview of the Finite Element Analysis 1.1 Introduction Finite element analysis (FEA) involves solution of engineering problems using computers. Engineering structures that have complex geometry

More information

Finite Elements for 2 D Problems

Finite Elements for 2 D Problems Finite Elements for 2 D Problems General Formula for the Stiffness Matrix Displacements (u, v) in a plane element are interpolated from nodal displacements (ui, vi) using shape functions Ni as follows,

More information

CAE -Finite Element Method

CAE -Finite Element Method 16.810 Engineering Design and Rapid Prototyping CAE -Finite Element Method Instructor(s) Prof. Olivier de Weck January 11, 2005 Plan for Today Hand Calculations Aero Æ Structures FEM Lecture (ca. 45 min)

More information

FUNDAMENTAL FINITE ELEMENT ANALYSIS AND APPLICATIONS

FUNDAMENTAL FINITE ELEMENT ANALYSIS AND APPLICATIONS FUNDAMENTAL FINITE ELEMENT ANALYSIS AND APPLICATIONS With Mathematica and MATLAB Computations M. ASGHAR BHATTI WILEY JOHN WILEY & SONS, INC. CONTENTS OF THE BOOK WEB SITE PREFACE xi xiii 1 FINITE ELEMENT

More information

Finite Element Method

Finite Element Method 16.810 (16.682) Engineering Design and Rapid Prototyping Finite Element Method Instructor(s) Prof. Olivier de Weck deweck@mit.edu Dr. Il Yong Kim kiy@mit.edu January 12, 2004 Plan for Today FEM Lecture

More information

820446 - ACMSM - Computer Applications in Solids Mechanics

820446 - ACMSM - Computer Applications in Solids Mechanics Coordinating unit: 820 - EUETIB - Barcelona College of Industrial Engineering Teaching unit: 737 - RMEE - Department of Strength of Materials and Structural Engineering Academic year: Degree: 2015 BACHELOR'S

More information

DYNAMIC ANALYSIS OF THICK PLATES SUBJECTED TO EARTQUAKE

DYNAMIC ANALYSIS OF THICK PLATES SUBJECTED TO EARTQUAKE DYNAMIC ANALYSIS OF THICK PLATES SUBJECTED TO EARTQUAKE ÖZDEMİR Y. I, AYVAZ Y. Posta Adresi: Department of Civil Engineering, Karadeniz Technical University, 68 Trabzon, TURKEY E-posta: yaprakozdemir@hotmail.com

More information

The Basics of FEA Procedure

The Basics of FEA Procedure CHAPTER 2 The Basics of FEA Procedure 2.1 Introduction This chapter discusses the spring element, especially for the purpose of introducing various concepts involved in use of the FEA technique. A spring

More information

Plates and Shells: Theory and Computation - 4D9 - Dr Fehmi Cirak (fc286@) Office: Inglis building mezzanine level (INO 31)

Plates and Shells: Theory and Computation - 4D9 - Dr Fehmi Cirak (fc286@) Office: Inglis building mezzanine level (INO 31) Plates and Shells: Theory and Computation - 4D9 - Dr Fehmi Cirak (fc286@) Office: Inglis building mezzanine level (INO 31) Outline -1-! This part of the module consists of seven lectures and will focus

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

Finite Element Formulation for Beams - Handout 2 -

Finite Element Formulation for Beams - Handout 2 - Finite Element Formulation for Beams - Handout 2 - Dr Fehmi Cirak (fc286@) Completed Version Review of Euler-Bernoulli Beam Physical beam model midline Beam domain in three-dimensions Midline, also called

More information

Finite Element Formulation for Plates - Handout 3 -

Finite Element Formulation for Plates - Handout 3 - Finite Element Formulation for Plates - Handout 3 - Dr Fehmi Cirak (fc286@) Completed Version Definitions A plate is a three dimensional solid body with one of the plate dimensions much smaller than the

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

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

Stress Recovery 28 1

Stress Recovery 28 1 . 8 Stress Recovery 8 Chapter 8: STRESS RECOVERY 8 TABLE OF CONTENTS Page 8.. Introduction 8 8.. Calculation of Element Strains and Stresses 8 8.. Direct Stress Evaluation at Nodes 8 8.. Extrapolation

More information

CFD Application on Food Industry; Energy Saving on the Bread Oven

CFD Application on Food Industry; Energy Saving on the Bread Oven Middle-East Journal of Scientific Research 13 (8): 1095-1100, 2013 ISSN 1990-9233 IDOSI Publications, 2013 DOI: 10.5829/idosi.mejsr.2013.13.8.548 CFD Application on Food Industry; Energy Saving on the

More information

Finite Element Analysis

Finite Element Analysis Finite Element Analysis (MCEN 4173/5173) Instructor: Dr. H. Jerry Qi Fall, 2006 What is Finite Element Analysis (FEA)? -- A numerical method. -- Traditionally, a branch of Solid Mechanics. -- Nowadays,

More information

The simulation of machine tools can be divided into two stages. In the first stage the mechanical behavior of a machine tool is simulated with FEM

The simulation of machine tools can be divided into two stages. In the first stage the mechanical behavior of a machine tool is simulated with FEM 1 The simulation of machine tools can be divided into two stages. In the first stage the mechanical behavior of a machine tool is simulated with FEM tools. The approach to this simulation is different

More information

COMPUTATIONAL ENGINEERING OF FINITE ELEMENT MODELLING FOR AUTOMOTIVE APPLICATION USING ABAQUS

COMPUTATIONAL ENGINEERING OF FINITE ELEMENT MODELLING FOR AUTOMOTIVE APPLICATION USING ABAQUS International Journal of Advanced Research in Engineering and Technology (IJARET) Volume 7, Issue 2, March-April 2016, pp. 30 52, Article ID: IJARET_07_02_004 Available online at http://www.iaeme.com/ijaret/issues.asp?jtype=ijaret&vtype=7&itype=2

More information

Mesh Discretization Error and Criteria for Accuracy of Finite Element Solutions

Mesh Discretization Error and Criteria for Accuracy of Finite Element Solutions Mesh Discretization Error and Criteria for Accuracy of Finite Element Solutions Chandresh Shah Cummins, Inc. Abstract Any finite element analysis performed by an engineer is subject to several types of

More information

The elements used in commercial codes can be classified in two basic categories:

The elements used in commercial codes can be classified in two basic categories: CHAPTER 3 Truss Element 3.1 Introduction The single most important concept in understanding FEA, is the basic understanding of various finite elements that we employ in an analysis. Elements are used for

More information

4.3 Results... 27 4.3.1 Drained Conditions... 27 4.3.2 Undrained Conditions... 28 4.4 References... 30 4.5 Data Files... 30 5 Undrained Analysis of

4.3 Results... 27 4.3.1 Drained Conditions... 27 4.3.2 Undrained Conditions... 28 4.4 References... 30 4.5 Data Files... 30 5 Undrained Analysis of Table of Contents 1 One Dimensional Compression of a Finite Layer... 3 1.1 Problem Description... 3 1.1.1 Uniform Mesh... 3 1.1.2 Graded Mesh... 5 1.2 Analytical Solution... 6 1.3 Results... 6 1.3.1 Uniform

More information

Pre-requisites 2012-2013

Pre-requisites 2012-2013 Pre-requisites 2012-2013 Engineering Computation The student should be familiar with basic tools in Mathematics and Physics as learned at the High School level and in the first year of Engineering Schools.

More information

Analysis of deep beam using Finite Element Method

Analysis of deep beam using Finite Element Method www.ijaser.com 2012 by the authors Licensee IJASER- Under Creative Commons License 3.0 editorial@ijaser.com Research article ISSN 2277 9442 Analysis of deep beam using Finite Element Method 1 Enem, J.I.,

More information

Introduction to Solid Modeling Using SolidWorks 2012 SolidWorks Simulation Tutorial Page 1

Introduction to Solid Modeling Using SolidWorks 2012 SolidWorks Simulation Tutorial Page 1 Introduction to Solid Modeling Using SolidWorks 2012 SolidWorks Simulation Tutorial Page 1 In this tutorial, we will use the SolidWorks Simulation finite element analysis (FEA) program to analyze the response

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

A quadrilateral 2-D finite element based on mixed interpolation of tensorial

A quadrilateral 2-D finite element based on mixed interpolation of tensorial A quadrilateral 2-D finite element based on mixed interpolation of tensorial components Eduardo N. Dvorkin and Sara I. Vassolo* Instituto de Materiales y Estructuras, Facultad de Ingenieria, Universidad

More information

STUDY OF DAM-RESERVOIR DYNAMIC INTERACTION USING VIBRATION TESTS ON A PHYSICAL MODEL

STUDY OF DAM-RESERVOIR DYNAMIC INTERACTION USING VIBRATION TESTS ON A PHYSICAL MODEL STUDY OF DAM-RESERVOIR DYNAMIC INTERACTION USING VIBRATION TESTS ON A PHYSICAL MODEL Paulo Mendes, Instituto Superior de Engenharia de Lisboa, Portugal Sérgio Oliveira, Laboratório Nacional de Engenharia

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

Feature Commercial codes In-house codes

Feature Commercial codes In-house codes A simple finite element solver for thermo-mechanical problems Keywords: Scilab, Open source software, thermo-elasticity Introduction In this paper we would like to show how it is possible to develop a

More information

Productivity and Return on Investment from COSMOS Finite Element Analysis Software

Productivity and Return on Investment from COSMOS Finite Element Analysis Software Productivity and Return on Investment from COSMOS Finite Element Analysis Software Prepared by: MIT Sloan School of Management Report prepared for: Structural Research & Analysis Corporation Prepared by:

More information

Benchmark Tests on ANSYS Parallel Processing Technology

Benchmark Tests on ANSYS Parallel Processing Technology Benchmark Tests on ANSYS Parallel Processing Technology Kentaro Suzuki ANSYS JAPAN LTD. Abstract It is extremely important for manufacturing industries to reduce their design process period in order to

More information

Shell Elements in ABAQUS/Explicit

Shell Elements in ABAQUS/Explicit ABAQUS/Explicit: Advanced Topics Appendix 2 Shell Elements in ABAQUS/Explicit ABAQUS/Explicit: Advanced Topics A2.2 Overview ABAQUS/Explicit: Advanced Topics ABAQUS/Explicit: Advanced Topics A2.4 Triangular

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

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 in design of high performance machine tools

Simulation in design of high performance machine tools P. Wagner, Gebr. HELLER Maschinenfabrik GmbH 1. Introduktion Machine tools have been constructed and used for industrial applications for more than 100 years. Today, almost 100 large-sized companies and

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

INTERACTION OF LIQUID MOTION ON MOBILE TANK STRUCTURE

INTERACTION OF LIQUID MOTION ON MOBILE TANK STRUCTURE Journal of KONES Powertrain and Transport, Vol. 18, No. 3 2011 INTERACTION OF LIQUID MOTION ON MOBILE TANK STRUCTURE Mariusz Domaga a, Edward Lisowski Cracow University of Technology, Department of Mechanical

More information

COMPETENCY GOAL 1: The learner will develop abilities necessary to do and understand scientific inquiry.

COMPETENCY GOAL 1: The learner will develop abilities necessary to do and understand scientific inquiry. North Carolina Standard Course of Study and Grade Level Competencies, Physics I Revised 2004 139 Physics PHYSICS - Grades 9-12 Strands: The strands are: Nature of Science, Science as Inquiry, Science and

More information

Unit 3 (Review of) Language of Stress/Strain Analysis

Unit 3 (Review of) Language of Stress/Strain Analysis Unit 3 (Review of) Language of Stress/Strain Analysis Readings: B, M, P A.2, A.3, A.6 Rivello 2.1, 2.2 T & G Ch. 1 (especially 1.7) Paul A. Lagace, Ph.D. Professor of Aeronautics & Astronautics and Engineering

More information

Distance Learning Program

Distance Learning Program Distance Learning Program Leading To Master of Engineering or Master of Science In Mechanical Engineering Typical Course Presentation Format Program Description Clarkson University currently offers a Distance

More information

Course in. Nonlinear FEM

Course in. Nonlinear FEM Course in Introduction Outline Lecture 1 Introduction Lecture 2 Geometric nonlinearity Lecture 3 Material nonlinearity Lecture 4 Material nonlinearity continued Lecture 5 Geometric nonlinearity revisited

More information

THE COMPOSITE DISC - A NEW JOINT FOR HIGH POWER DRIVESHAFTS

THE COMPOSITE DISC - A NEW JOINT FOR HIGH POWER DRIVESHAFTS THE COMPOSITE DISC - A NEW JOINT FOR HIGH POWER DRIVESHAFTS Dr Andrew Pollard Principal Engineer GKN Technology UK INTRODUCTION There is a wide choice of flexible couplings for power transmission applications,

More information

COMPUTATIONAL ACCURACY ANALYSIS OF A COORDINATE MEASURING MACHINE UNDER STATIC LOAD

COMPUTATIONAL ACCURACY ANALYSIS OF A COORDINATE MEASURING MACHINE UNDER STATIC LOAD COMPUTATIONAL ACCURACY ANALYSIS OF A COORDINATE MEASURING MACHINE UNDER STATIC LOAD Andre R. Sousa 1 ; Daniela A. Bento 2 CEFET/SC Federal Center of Technological Education Santa Catarina Av. Mauro Ramos,

More information

Tech-Clarity Insight: The Business Value of Simulation. Saving Time and Money, and Getting Products Right the First Time

Tech-Clarity Insight: The Business Value of Simulation. Saving Time and Money, and Getting Products Right the First Time Tech-Clarity Insight: The Business Value of Simulation Saving Time and Money, and Getting Products Right the First Time Tech-Clarity, Inc. 2010 Table of Contents Table of Contents... 2 Executive Overview...

More information

A Comparison of All Hexagonal and All Tetrahedral Finite Element Meshes for Elastic and Elasto-plastic Analysis

A Comparison of All Hexagonal and All Tetrahedral Finite Element Meshes for Elastic and Elasto-plastic Analysis A Comparison of All Hexagonal and All Tetrahedral Finite Element Meshes for Elastic and Elasto-plastic Analysis Steven E. Benzley, Ernest Perry, Karl Merkley, Brett Clark Brigham Young University Provo,

More information

MEL 807 Computational Heat Transfer (2-0-4) Dr. Prabal Talukdar Assistant Professor Department of Mechanical Engineering IIT Delhi

MEL 807 Computational Heat Transfer (2-0-4) Dr. Prabal Talukdar Assistant Professor Department of Mechanical Engineering IIT Delhi MEL 807 Computational Heat Transfer (2-0-4) Dr. Prabal Talukdar Assistant Professor Department of Mechanical Engineering IIT Delhi Time and Venue Course Coordinator: Dr. Prabal Talukdar Room No: III, 357

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

Estimation of Work Hardening in Bent Sheet Metal Products at an Early Stage of Virtual Product Development

Estimation of Work Hardening in Bent Sheet Metal Products at an Early Stage of Virtual Product Development Estimation of Work Hardening in Bent Sheet Metal Products at an Early Stage of Virtual Product Development RokneddinAzizi HosseinAmiryousefi Department of Mechanical Engineering Blekinge Institute of Technology

More information

Reliable FE-Modeling with ANSYS

Reliable FE-Modeling with ANSYS Reliable FE-Modeling with ANSYS Thomas Nelson, Erke Wang CADFEM GmbH, Munich, Germany Abstract ANSYS is one of the leading commercial finite element programs in the world and can be applied to a large

More information

www.integratedsoft.com Electromagnetic Sensor Design: Key Considerations when selecting CAE Software

www.integratedsoft.com Electromagnetic Sensor Design: Key Considerations when selecting CAE Software www.integratedsoft.com Electromagnetic Sensor Design: Key Considerations when selecting CAE Software Content Executive Summary... 3 Characteristics of Electromagnetic Sensor Systems... 3 Basic Selection

More information

Introduction to CFD Analysis

Introduction to CFD Analysis Introduction to CFD Analysis 2-1 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

Computational Modeling of Wind Turbines in OpenFOAM

Computational Modeling of Wind Turbines in OpenFOAM Computational Modeling of Wind Turbines in OpenFOAM Hamid Rahimi hamid.rahimi@uni-oldenburg.de ForWind - Center for Wind Energy Research Institute of Physics, University of Oldenburg, Germany Outline Computational

More information

A Study of Durability Analysis Methodology for Engine Valve Considering Head Thermal Deformation and Dynamic Behavior

A Study of Durability Analysis Methodology for Engine Valve Considering Head Thermal Deformation and Dynamic Behavior A Study of Durability Analysis Methodology for Engine Valve Considering Head Thermal Deformation and Dynamic Behavior Kum-Chul, Oh 1, Sang-Woo Cha 1 and Ji-Ho Kim 1 1 R&D Center, Hyundai Motor Company

More information

Self-piercing riveting

Self-piercing riveting Self-piercing riveting Andre Stühmeyer, CAD-FEM GmbH Germany Self-piercing riveting Overview The self piercing riveting process FE analysis of the joining process Large deformation Material failure 2D

More information

PREDICTION OF MACHINE TOOL SPINDLE S DYNAMICS BASED ON A THERMO-MECHANICAL MODEL

PREDICTION OF MACHINE TOOL SPINDLE S DYNAMICS BASED ON A THERMO-MECHANICAL MODEL PREDICTION OF MACHINE TOOL SPINDLE S DYNAMICS BASED ON A THERMO-MECHANICAL MODEL P. Kolar, T. Holkup Research Center for Manufacturing Technology, Faculty of Mechanical Engineering, CTU in Prague, Czech

More information

Chapter 1. Introduction. 1.1 The Challenge of Computer Generated Postures

Chapter 1. Introduction. 1.1 The Challenge of Computer Generated Postures Chapter 1 Introduction 1.1 The Challenge of Computer Generated Postures With advances in hardware technology, more powerful computers become available for the majority of users. A few years ago, computer

More information

DETAILED STUDIES ON STRESS CONCENTRATION BY CLASSICAL AND FINITE ELEMENT ANALYSIS

DETAILED STUDIES ON STRESS CONCENTRATION BY CLASSICAL AND FINITE ELEMENT ANALYSIS International Journal of Mechanical Engineering and Technology (IJMET) Volume 7, Issue 2, March-April 2016, pp. 148 167, Article ID: IJMET_07_02_017 Available online at http://www.iaeme.com/ijmet/issues.asp?jtype=ijmet&vtype=7&itype=2

More information

SOLIDWORKS SOFTWARE OPTIMIZATION

SOLIDWORKS SOFTWARE OPTIMIZATION W H I T E P A P E R SOLIDWORKS SOFTWARE OPTIMIZATION Overview Optimization is the calculation of weight, stress, cost, deflection, natural frequencies, and temperature factors, which are dependent on variables

More information

BRINGING INNOVATIVE MEDICAL PRODUCTS TO MARKET FASTER

BRINGING INNOVATIVE MEDICAL PRODUCTS TO MARKET FASTER W H I T E P A P E R BRINGING INNOVATIVE MEDICAL PRODUCTS TO MARKET FASTER Overview To succeed in today s medical device manufacturing industry, product designers must not only create innovative medical

More information

Strip Crown Prediction: Developing a Refined Dynamic Roll-Stack Model for the Hot Rolling Process

Strip Crown Prediction: Developing a Refined Dynamic Roll-Stack Model for the Hot Rolling Process Strip Crown Prediction: Developing a Refined Dynamic Roll-Stack Model for the Hot Rolling Process By Derek E. Slaughter Thesis submitted to the Faculty of the Virginia Polytechnic Institute and State University

More information

CHAPTER 3 MODAL ANALYSIS OF A PRINTED CIRCUIT BOARD

CHAPTER 3 MODAL ANALYSIS OF A PRINTED CIRCUIT BOARD 45 CHAPTER 3 MODAL ANALYSIS OF A PRINTED CIRCUIT BOARD 3.1 INTRODUCTION This chapter describes the methodology for performing the modal analysis of a printed circuit board used in a hand held electronic

More information

Autodesk Inventor 2013

Autodesk Inventor 2013 Autodesk Inventor 2013 AMS CAD + CAFM Solutions amscad.com Image courtesy of Brimrock Group Inc. and Mechanix Design Solutions Inc. Autodesk Inventor Takes You From 2D to 3D Digital Prototyping The Inventor

More information

Mesh Moving Techniques for Fluid-Structure Interactions With Large Displacements

Mesh Moving Techniques for Fluid-Structure Interactions With Large Displacements K. Stein Department of Physics, Bethel College, St. Paul, MN 55112 T. Tezduyar Mechanical Engineering, Rice University, MS 321, Houston, TX 77005 R. Benney Natick Soldier Center, Natick, MA 01760 Mesh

More information

3-D WAVEGUIDE MODELING AND SIMULATION USING SBFEM

3-D WAVEGUIDE MODELING AND SIMULATION USING SBFEM 3-D WAVEGUIDE MODELING AND SIMULATION USING SBFEM Fabian Krome, Hauke Gravenkamp BAM Federal Institute for Materials Research and Testing, Unter den Eichen 87, 12205 Berlin, Germany email: Fabian.Krome@BAM.de

More information

T-FLEX ANALYSIS USER MANUAL

T-FLEX ANALYSIS USER MANUAL T-FLEX ANALYSIS USER MANUAL «Top Systems» Moscow, 2009 Copyright 2009 Top Systems This Software and Related Documentation are proprietary to Top Systems. Any copying of this documentation, except as permitted

More information

CFD Application on Food Industry; Energy Saving on the Bread Oven

CFD Application on Food Industry; Energy Saving on the Bread Oven Iranica Journal of Energy & Environment 3 (3): 241-245, 2012 ISSN 2079-2115 IJEE an Official Peer Reviewed Journal of Babol Noshirvani University of Technology DOI: 10.5829/idosi.ijee.2012.03.03.0548 CFD

More information

Stiffness Matrices of Isoparametric Four-node Finite Elements by Exact Analytical Integration

Stiffness Matrices of Isoparametric Four-node Finite Elements by Exact Analytical Integration Stiffness Matrices of Isoparametric Four-node Finite Elements by Exact Analytical Integration Key words: Gautam Dasgupta, Member ASCE Columbia University, New York, NY C ++ code, convex quadrilateral element,

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

Introduction to CFD Analysis

Introduction to CFD Analysis Introduction to CFD Analysis Introductory FLUENT Training 2006 ANSYS, Inc. All rights reserved. 2006 ANSYS, Inc. All rights reserved. 2-2 What is CFD? Computational fluid dynamics (CFD) is the science

More information

Development of Membrane, Plate and Flat Shell Elements in Java

Development of Membrane, Plate and Flat Shell Elements in Java Development of Membrane, Plate and Flat Shell Elements in Java by Kaushalkumar Kansara Thesis submitted to the Faculty of the Virginia Polytechnic Institute & State University In partial fulfillment of

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

Finite Element Analysis in Mechanical Engineering Design. Summer 2015 (Online)

Finite Element Analysis in Mechanical Engineering Design. Summer 2015 (Online) ME 4180 Finite Element Analysis in Mechanical Engineering Design Summer 2015 (Online) Department: Mechanical Engineering Semester: Summer, 2015 Class Location: Online Only Course Start Date: Wednesday,

More information

CFD: What is it good for?

CFD: What is it good for? CFD: What is it good for? Tom O Mahoney TNO Fluid Dynamics Introduction to CFD CFD - Computational Fluid Dynamics Computational the using of computers to simulate the physics of fluids Fluid Either gas

More information

Finite Element Simulation of Simple Bending Problem and Code Development in C++

Finite Element Simulation of Simple Bending Problem and Code Development in C++ EUROPEAN ACADEMIC RESEARCH, VOL. I, ISSUE 6/ SEPEMBER 013 ISSN 86-48, www.euacademic.org IMPACT FACTOR: 0.485 (GIF) Finite Element Simulation of Simple Bending Problem and Code Development in C++ ABDUL

More information

Computational Fluid Dynamics in Automotive Applications

Computational Fluid Dynamics in Automotive Applications Computational Fluid Dynamics in Automotive Applications Hrvoje Jasak h.jasak@wikki.co.uk Wikki Ltd, United Kingdom FSB, University of Zagreb, Croatia 1/15 Outline Objective Review the adoption of Computational

More information

INJECTION MOLDING COOLING TIME REDUCTION AND THERMAL STRESS ANALYSIS

INJECTION MOLDING COOLING TIME REDUCTION AND THERMAL STRESS ANALYSIS INJECTION MOLDING COOLING TIME REDUCTION AND THERMAL STRESS ANALYSIS Tom Kimerling University of Massachusetts, Amherst MIE 605 Finite Element Analysis Spring 2002 ABSTRACT A FEA transient thermal structural

More information

Dynamic Load and Stress Analysis of a Crankshaft

Dynamic Load and Stress Analysis of a Crankshaft 27-1-28 Dynamic Load and Stress Analysis of a Crankshaft Farzin H. Montazersadgh and Ali Fatemi The University of Toledo Copyright 27 SAE International ABSTRACT In this study a dynamic simulation was conducted

More information

Ryan F. Schkoda, Ph.D. Postdoctoral Fellow Wind Turbine Drivetrain Testing Facility Charleston, SC

Ryan F. Schkoda, Ph.D. Postdoctoral Fellow Wind Turbine Drivetrain Testing Facility Charleston, SC Systems Engineering Activities at Clemson University s International Center for Automotive Research (CU-ICAR) and Wind Turbine Drivetrain Testing Facility Ryan F. Schkoda, Ph.D. Postdoctoral Fellow Wind

More information

Introduction. 1.1 Motivation. Chapter 1

Introduction. 1.1 Motivation. Chapter 1 Chapter 1 Introduction The automotive, aerospace and building sectors have traditionally used simulation programs to improve their products or services, focusing their computations in a few major physical

More information

Der Einfluss thermophysikalischer Daten auf die numerische Simulation von Gießprozessen

Der Einfluss thermophysikalischer Daten auf die numerische Simulation von Gießprozessen Der Einfluss thermophysikalischer Daten auf die numerische Simulation von Gießprozessen Tagung des Arbeitskreises Thermophysik, 4. 5.3.2010 Karlsruhe, Deutschland E. Kaschnitz Österreichisches Gießerei-Institut

More information

Calculation of Eigenfields for the European XFEL Cavities

Calculation of Eigenfields for the European XFEL Cavities Calculation of Eigenfields for the European XFEL Cavities Wolfgang Ackermann, Erion Gjonaj, Wolfgang F. O. Müller, Thomas Weiland Institut Theorie Elektromagnetischer Felder, TU Darmstadt Status Meeting

More information

Introduction to the Finite Element Method (FEM)

Introduction to the Finite Element Method (FEM) Introduction to the Finite Element Method (FEM) ecture First and Second Order One Dimensional Shape Functions Dr. J. Dean Discretisation Consider the temperature distribution along the one-dimensional

More information

Fundamentals of CFD and Data Center Cooling Amir Radmehr, Ph.D. Innovative Research, Inc. radmehr@inres.com

Fundamentals of CFD and Data Center Cooling Amir Radmehr, Ph.D. Innovative Research, Inc. radmehr@inres.com Minneapolis Symposium September 30 th, 2015 Fundamentals of CFD and Data Center Cooling Amir Radmehr, Ph.D. Innovative Research, Inc. radmehr@inres.com Learning Objectives 1. Gain familiarity with Computational

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

METHODS FOR ACHIEVEMENT UNIFORM STRESSES DISTRIBUTION UNDER THE FOUNDATION

METHODS FOR ACHIEVEMENT UNIFORM STRESSES DISTRIBUTION UNDER THE FOUNDATION International Journal of Civil Engineering and Technology (IJCIET) Volume 7, Issue 2, March-April 2016, pp. 45-66, Article ID: IJCIET_07_02_004 Available online at http://www.iaeme.com/ijciet/issues.asp?jtype=ijciet&vtype=7&itype=2

More information

Computational Geometry Lab: FEM BASIS FUNCTIONS FOR A TETRAHEDRON

Computational Geometry Lab: FEM BASIS FUNCTIONS FOR A TETRAHEDRON Computational Geometry Lab: FEM BASIS FUNCTIONS FOR A TETRAHEDRON John Burkardt Information Technology Department Virginia Tech http://people.sc.fsu.edu/ jburkardt/presentations/cg lab fem basis tetrahedron.pdf

More information

Simulation Technology to Support the Design of Electric Distribution and Control Devices

Simulation Technology to Support the Design of Electric Distribution and Control Devices Simulation Technology to Support the Design of Electric Distribution and Control Devices SAKATA Masayoshi ABSTRACT Simulation technology for electric distribution and control devices includes structural

More information

Verification Experiment on Cooling and Deformation Effects of Automatically Designed Cooling Channels for Block Laminated Molds

Verification Experiment on Cooling and Deformation Effects of Automatically Designed Cooling Channels for Block Laminated Molds International Journal of Engineering and Advanced Technology (IJEAT ISSN: 2249 8958 Volume-4 Issue-5 June 2015 Verification Experiment on Cooling and Deformation Effects of Automatically Designed Cooling

More information

NATIONAL TECHNICAL UNIVERSITY OF ATHENS (N.T.U.A.)

NATIONAL TECHNICAL UNIVERSITY OF ATHENS (N.T.U.A.) NATIONAL TECHNICAL UNIVERSITY OF ATHENS (N.T.U.A.) MECHANICAL ENGINEERING DEPARTMENT LABORATORY OF MACHINES ELEMENTS Ansys Multiphysics (v. 12) tutorial for electrostatic finite element analysis on spur

More information

Code_Aster. HSNV129 - Test of compression-thermal expansion for study of the coupling thermal-cracking

Code_Aster. HSNV129 - Test of compression-thermal expansion for study of the coupling thermal-cracking Titre : HSNV129 - Essai de compression-dilatation pour étu[...] Date : 1/1/212 Page : 1/8 HSNV129 - Test of compression-thermal expansion for study of the coupling thermal-cracking Summarized: One applies

More information

Calculation of Eigenmodes in Superconducting Cavities

Calculation of Eigenmodes in Superconducting Cavities Calculation of Eigenmodes in Superconducting Cavities W. Ackermann, C. Liu, W.F.O. Müller, T. Weiland Institut für Theorie Elektromagnetischer Felder, Technische Universität Darmstadt Status Meeting December

More information

Influence of Crash Box on Automotive Crashworthiness

Influence of Crash Box on Automotive Crashworthiness Influence of Crash Box on Automotive Crashworthiness MIHAIL DANIEL IOZSA, DAN ALEXANDRU MICU, GHEORGHE FRĂȚILĂ, FLORIN- CRISTIAN ANTONACHE University POLITEHNICA of Bucharest 313 Splaiul Independentei

More information

FEM Software Automation, with a case study on the Stokes Equations

FEM Software Automation, with a case study on the Stokes Equations FEM Automation, with a case study on the Stokes Equations FEM Andy R Terrel Advisors: L R Scott and R C Kirby Numerical from Department of Computer Science University of Chicago March 1, 2006 Masters Presentation

More information

Dynamics of Offshore Wind Turbines

Dynamics of Offshore Wind Turbines Proceedings of the Twenty-first (2011) International Offshore and Polar Engineering Conference Maui, Hawaii, USA, June 19-24, 2011 Copyright 2011 by the International Society of Offshore and Polar Engineers

More information

ANALYSIS OF A LAP JOINT FRICTION CONNECTION USING HIGH STRENGTH BOLTS

ANALYSIS OF A LAP JOINT FRICTION CONNECTION USING HIGH STRENGTH BOLTS Nordic Steel Construction Conference 212 Hotel Bristol, Oslo, Norway 5-7 September 212 ANALYSIS OF A LAP JOINT FRICTION CONNECTION USING HIGH STRENGTH BOLTS Marouene Limam a, Christine Heistermann a and

More information