FINITE ELEMENT METHOD IM _1

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1 COURSE CODE INTENSITY PRE-REQUISITE CO-REQUISITE CREDITS ACTUALIZATION DATE FINITE ELEMENT METHOD IM LECTURE HOURS PER WEEK 48 HOURS CLASSROOM ON 16 WEEKS, 96 HOURS OF INDEPENDENT WORK NUMERICAL PROCESSES - ST0241 NONE _1 JUSTIFICATION The finite element method is a powerful numerical tool for analyzing the behavior of components and technical systems in general operating conditions that has emerged, and is growing constantly with the development of computer systems and numerical analysis methods. The method allows to predict the behavior of a component and flows that go through it, according to the variables that represent the shape and properties of the materials, from a virtual model, significantly reducing the time and cost of analysis. The implementation and use of the method makes it possible to study in detail aspects of the design of systems that might not otherwise be considered, for example, complex shapes, composite materials, operating conditions, etc.. The range of application includes, among others, the following areas: solid mechanics, fluid mechanics, heat transfer, dynamics, electricity and magnetism, acoustics. GENERAL AIMS OF THE COURSE Apply the finite element method in the analysis of different engineering problems. SPECIFIC AIMS OF THE COURSE Acquire a basic theoretical foundation on the Finite Element Method applied to solve problems in Mechanical Engineering Design. Develop the analysis process with FEM in engineering problems. Using a Finite Element tool in solving problems of Mechanical Design. GENERAL CONTENTS 1

2 to the Finite Element Method The direct stiffness method Truss elements in two dimensions Truss solver using matlab to solidworks simulation Pre-processing Post-processing Effect of the loads on the fea models Effect of the mesh on the fea models Assembly and contact Reverse engineering Basic beam analysis Basic design criteria Capabilities and limitations of fem METODOLOGY Exhibition of cases, and conceptual subjects, by the teacher. Further reading (guide books and class notes), consulting and reporting Practices in the computer class room (MATLAB and COSMOS). Project execution. Guided workshops before tests. EVALUATION THEORETICAL EVALUATION 50% - Written evaluation (analysis of frames and 2D trusses by the stiffness method) 10% - Final evaluation (analysis of 2D frames) 15% - Research work (written work and presentation) 25% PRACTICE 50% -Follow up (research, tutorials and quizzes) 20% -Final-Project (follow up, report and presentation) 30% REFERENCES Books TEXT GUIDE Book 1. INTRODUCTION TO FINITE ELEMENT ANALYSIS USING SOLIDWORKS SIMULATION Randy H. WShih. Mission, KS, Schrofff Development Corporation,

3 Book 2. FINITE ELEMENT PROCEDURES. Bathe, Klaus-Juergen. Estados Unidos, Prentice Hall, 1996, 1036 pages. Other Books FINITE ELEMENT ANALYSIS OF PARTS with Solid Works Simulation Cyrus Raoufi. Canada, Cyra Engineering Services Inc., 2013, 428 pages. ENGINEERING ANALYSIS WITH SOLIDWORKS SIMULATION Paul Kurowski. Mision, KS, SDC Publications, 2013, 488 pages. MECHANICS OF MATERIALS LABS WITH SOLIDWORKS SIMULATION 2013 Huei-Huang Lee Mission, KS, SDC Publications, 2013, 273 pages. INTRODUCTION TO THE FINITE ELEMENT METHOD; A NUMERICAL METHOD FOR ENGINEERING ANALYSIS ABEL, JOHN F; DESAI, CHANDRAKANT New York: Van Nostrand Reinhold, 1972, 477 págs. (1 ej.) FINITE ELEMENTS; SPECIAL PROBLEMS IN SOLID MECHANICS. - Vol. 5 ODEN, JOHN TINSLEY; CAREY, GRAHAM F. Englewood Cliffs, New York: Prentice-Hall, 1984, 273 págs. (1 ej.) THE FINITE ELEMENT METHOD. ZIENKIEWICZ, OLGIERD CECIL London: McGraw-Hill, 1977, 787 págs. (1 ej.) CONCEPTS AND APPLICATIONS OF FINITE ELEMENT ANALYSIS COOK, ROBERT D. New York: John Wiley & Sons, 1981, 537 págs. (1 ej.) FINITE ELEMENT ANALYSIS WITH PERSONAL COMPUTERS CHAMPION, EDWARD R..; ENSMINGER, J. MICHAEL New York : Marcel dekker, 1988, 375 págs. (1 ej.) THE FINITE ELEMENT METHOD IN ENGINEERING RAO, S. S. Oxford: Pergamon Press, 1982, 625 págs. (2 ej.) FINITE ELEMENT ANALYSIS BURNETT, DAVID S. Reading, Ma: Addison-Wesley, 1988, 843 págs. (1 ej.) 3

4 FINITE ELEMENT ANALYSIS: FROM CONCEPTS TO APPLICATIONS - VOL. 1 y 2 BURNETT, DAVID S. Reading, Ma: Addison-Wesley, 1988, 757 págs. (2 ej.) THE FINITE ELEMENT METHOD: BASIC CONCEPTS AND APPLICATIONS PEPPER, DARRELL W.; HEINRICH, JUAN C. Washington: Hemisphere Publishing Corporation, 1992, 240 págs. (1 ej.) AN INTRODUCTION TO THE FINITE ELEMENT METHOD USING BASIC PROGRAMS BROWN, DAVID K London: Surrey University Press, 1990, 273 págs. (1 ej.) 4

5 Lecture Schedule by weeks 1. INTRODUCTION TO THE FINITE ELEMENT METHOD What is Finite Element Analysis (FEA). FEA modeling considerations Types of finite elements Finite Element Analysis procedure Matrix definitions. 2. THE DIRECT STIFFNESS METHOD One-dimensional truss element Example. 3. TRUSS ELEMENTS IN TWO DIMENSIONS Truss elements Coordinate transformation Global matrix transformation Solutions Example 4. TRUSS SOLVER USING MAT LAB Direct stiffness matrix method Solving the global displacements Reaction forces Stresses Example 5. INTRODUCTION TO SOLIDWORKS Menu bar Sketch toolbar Features tool bar Command manager Property managers Feature manager Design tree Example: Modelation of a part. 6. ASSEMBLY MODELING Additional part Assembly relations Assembly mates Example: Assembly modelation. 7. INTRODUCTION TO SOLIDWORKS SIMULATION 5

6 Steps in a FEA projects FEA process Post processing basic results Example: Management of SolidWorks simulation 8. PRE-PROCESSING Preparing the model Mechanical properties Boundary conditions Basic loads Types of analysis Example: Comparison of displacement between FEMs and analytical models of beams 9. POST-PROCESSING Combined loads Principal stresses Failure criteria Load application options in SolidWorks Simulation Example: Post processing of a solid mechanics problem. 10. EFFECT OF THE LOADS ON THE FEA MODELS Types of loads Pressure Torque Gravity Rigid connection Remote loads Example: Effects of the type of loads in the post processing results. 11. EFFECT OF THE MESH ON THE FEA MODELS Mesh quality Mesh control Effect of element size Aspect ratio of the elements Example: Effects of the mesh in the FEA results. 12. ASSEMBLY AND CONTACT Assembly structural analysis overview Contact conditions Types of contacts Contact sets. Physical connections 6

7 Blots Springs Welds. Example: FEA of an assembly. 13. REVERSE ENGINEERING Scan to 3D Surfacing tools Geometry comparison tools Example: Reverse engineering process applied to a basic model. 14. BASIC BEAM ANALYSIS Modeling considerations Preliminary analysis Shear and moment diagrams Directions 1 and 2 in shear and moment diagrams Example: FEAM of a beam system. 15. BASIC DESIGN CRITERIA LRFD and ASD Security factor Over strength Modeling considerations Preliminary analysis Shear and moment diagrams 16. CAPABILITIES AND LIMITATIONS OF FEM Accuracy Precision Convergence test Validation process Example: Experimental validation FINAL PROJECT OPTIMIZATION PROCESS The automated process The manual process Validation test 7