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유한요소법강의 - strana.snu.ac.kr

(FINITE ELEMENT METHOD). 2007 .. * .. 1. ? 2.. 3.. 4.. 5.. 6.. 7.. 8.. 9.. 10.. 11.. SIT 2004 2. VISUALFEA.. ( ). 3. SUV 2005. 1. ? -> .. , .. 4. SUV 2005. 5. SUV 2005. 6. SUV 2005. 7. SUV 2005. 8. SUV 2005. 9. SUV 2005. : . 10. SUV 2005. 11. SUV 2005. 12. SUV 2005. , .. 13. SUV 2005. 2.. 14. SUV 2005. Discrete Member 15. SUV 2005. : . 16. SUV 2005. 17. SUV 2005. 2 . 18. SUV 2005. 3 . 19. SUV 2005.. 20. SUV 2005.. 21. SUV 2005. 22. SUV 2005. 3. / . 23. SUV 2005. 24. SUV 2005.. 25. SUV 2005.. Discrete member 26.

유한요소법강의 (FINITE ELEMENT METHOD) 2007년 서울벤처정보대학원대학교 황찬규교수 hwang@suv.ac.kr * 본교재의상업용으로사용을금함.

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Transcription of 유한요소법강의 - strana.snu.ac.kr

1 (FINITE ELEMENT METHOD). 2007 .. * .. 1. ? 2.. 3.. 4.. 5.. 6.. 7.. 8.. 9.. 10.. 11.. SIT 2004 2. VISUALFEA.. ( ). 3. SUV 2005. 1. ? -> .. , .. 4. SUV 2005. 5. SUV 2005. 6. SUV 2005. 7. SUV 2005. 8. SUV 2005. 9. SUV 2005. : . 10. SUV 2005. 11. SUV 2005. 12. SUV 2005. , .. 13. SUV 2005. 2.. 14. SUV 2005. Discrete Member 15. SUV 2005. : . 16. SUV 2005. 17. SUV 2005. 2 . 18. SUV 2005. 3 . 19. SUV 2005.. 20. SUV 2005.. 21. SUV 2005. 22. SUV 2005. 3. / . 23. SUV 2005. 24. SUV 2005.. 25. SUV 2005.. Discrete member 26.

2 SUV 2005.. , .. 27. SUV 2005. 28. SUV 2005. Discrete member 29. SUV 2005.. 30. SUV 2005. 4.. 31. SUV 2005.. - ( ) . 32. SUV 2005. 33. SUV 2005.. 34. SUV 2005.. 35. SUV 2005. ? , ? 36. SUV 2005.. ? 37. SUV 2005. ( ) .. a0 ~ a5: . 38. SUV 2005. G . 39. SUV 2005. 40. SUV 2005. 41. SUV 2005. 42. SUV 2005.. 43. SUV 2005. 44. SUV 2005. 45. SUV 2005.. 46. SUV 2005. 47. SUV 2005.. 48. SUV 2005.. 49. SUV 2005. 5.. 50. SUV 2005. 51. SUV 2005. 52. SUV 2005. 53. SUV 2005. 6.. 54. SUV 2005. 55. SUV 2005. 56. SUV 2005. 57.

3 SUV 2005. 58. SUV 2005. 59. SUV 2005. 60. SUV 2005. 61. SUV 2005. 62. SUV 2005. 7.. 63. SUV 2005. 1 . 64. SUV 2005. 2 . 65. SUV 2005. n . LAGRANGE POLYNOMIAL. 66. SUV 2005. 67. SUV 2005. / . 68. SUV 2005. 8.. 69. SUV 2005. 70. SUV 2005. 71. SUV 2005. 72. SUV 2005. 9. : .. 73. SUV 2005. 74. SUV 2005. 75. SUV 2005. 76. SUV 2005. 77. SUV 2005. 78. SUV 2005.. 79. SUV 2005. 10.. 80. SUV 2005. 81. SUV 2005. 82. SUV 2005. 83. SUV 2005. 84. SUV 2005. 85. SUV 2005. 86. SUV 2005. 87. SUV 2005. 11.. 88. SUV 2005. 89. SUV 2005.

4 90. SUV 2005. Classification of Solid-Mechanics Problems Analysis of solids Static Dynamics Elementary Advanced Behavior of Solids Stress Stiffening Large Displacement Geometric Instability Linear Nonlinear Fracture Plasticity Material Viscoplasticity Geometric Classification of solids Skeletal Systems Plates and Shells Solid Blocks 1D Elements 2D Elements 3D Elements Trusses Plane Stress Brick Elements Cables Plane Strain Tetrahedral Elements Pipes Axisymmetric General Elements Plate Bending Shells with flat elements

5 91. SUV 2005. Shells with curved elements Information Available from Various Types of FEM Analysis Static analysis Heat transfer analysis Deflection Temperature Stresses Heat fluxes Strains Thermal gradients Forces Heat flow from Energies convection faces Dynamic analysis Fluid analysis Frequencies Pressures Deflection (mode shape) Gas temperatures Stresses Convection coefficients Strains Velocities Forces Energies 92. SUV 2005. Example FEM Application Areas Automotive industry Aerospace industry Static analyses Static analyses Modal analyses Modal analyses Transient dynamics Aerodynamics Heat transfer Transient dynamics Mechanisms Heat transfer Fracture mechanics Fracture mechanics Metal forming Creep and plasticity analyses Crashworthiness Composite materials Architectural Aeroelasticity Soil mechanics Metal forming Rock mechanics Crashworthiness Hydraulics Fracture mechanics Hydroelasticity 93.

6 SUV 2005. Commercially Available FEM Software Suites (partial list). Software Package Introduced Comments ABAQUS 1978 General purpose, with special emphasis on advanced linear and nonlinear structures and heat transfer applications. ADINA 1975 Optimized for structural and heat transfer applications. Limited element library. Extensive material model library. ALGOR 1984 First FEM package available for PC use. ANSYS/LS-DYNA N/A For solving highly nonlinear structural dynamics problems (impact, large deformation, nonlinear materials, etc.)

7 ANSYS/MECHANICAL 1970 Probably the best-known and most widely-used FEM software. Complete structures/thermal/acoustics modleing. ANSYS/Multiphysics N/A Coupled-field, multidisciplinary FEM program. ELFEN N/A Includes linear and nonlinear buckling, modal analysis, transient heat transfer analysis, impact and fragmentation. GENESIS N/A Fully integrated finite element analysis and numerical optimization software for structural analysis. LUSAS N/A Includes automatic meshing, advanced non-linear analysis, and composites analysis.

8 MARC 1970 3D automated contact analysis capabilities suited for studying tough manufacturing problems, (metal forming/ etc.). MSC/FEA 1971 MSC participated in the 1965 development of NASA's public-domain FEM code, NASTRAN. MSC/NASTRAN for Windows N/A Handles stress, vibration, dynamic, nonlinear, heat transfer, and fluid flow analyses of mechanical components. NISA/DISPLAY 1973 A family of general purpose FEM programs for PCs and workstations. Modular design. PAM 1973 FEM software optimized to study restraint systems (PAM-SAFE), impacts (PAM-SHOCK) and metal forming.

9 SAMCEF 1965 One of the oldest FEM codes available. A powerful FEM package for structural and heat transfer analysis. STARDYNE 1967 The world's first commercially available Finite Element Analysis software. STARS N/A Integrated, general-purpose, finite element software. Developed by NASA. 94. SUV 2005. Selected FEM Resources on the Internet -Extensive FEM links, categorized by analysis type (mechanical, fluids, electromagnetic, etc.). - Lists many public domain and shareware programs. - Home page of the the Finite Element Research Group at The Queen's University of Belfast.

10 Excellent set of FEM links. -Hundreds of links to useful and interesting CAE cited, including FEM, CAE, free software, and career information. - National Agency for Finite Element Methods and Standards (NAFEMS). 95. SUV 2005. - provides an overview and history of FEA/FEM, information on mesh generation and various analysis types, advice on buying FEA software and services, plus related links and resources, by Dermot Monaghan new - independent resource, functions mainly as a forum but also has links, articles, more - FEA techniques on convergence, meshing, assemblies, vibration and heat transfer, developed for Pro/MECHANICA but useful in a general - this resource for thermal designers and analysts provides free thermal data.