Technical overview of the equivalent static loads method for non-linear static response structural optimization

Structural and Multidisciplinary Optimization

Volumn 43, Issue 3, 2011, Pages 319-337

  Park, Gyung Jin ^a  

^a Hanyang University   (South Korea)

Author keywords

Dynamic response optimization; Equivalent static loads; Equivalent static loads method for non linear static response structural optimization (ESLSO); Nonlinear dynamic response optimization; Nonlinear static response optimization; Structural optimization for flexible multi body dynamic systems; Structural optimization for multi body dynamic systems

Indexed keywords

DISPLACEMENT FIELD; DYNAMIC RESPONSE OPTIMIZATION; EQUIVALENT STATIC LOADS; FLEXIBLE MULTI-BODY DYNAMICS; LINEAR DYNAMICS; LINEAR STATIC ANALYSIS; LINEAR STATICS; MULTI-BODY DYNAMIC SYSTEMS; NON-LINEAR STATIC ANALYSIS; NONLINEAR DYNAMIC RESPONSE; NONLINEAR DYNAMIC RESPONSE OPTIMIZATION; NONLINEAR STATICS; OPTIMIZATION METHOD; STATIC LOADS;

DYNAMIC RESPONSE; FINITE ELEMENT METHOD; MECHANICS; NONLINEAR ANALYSIS; SHAPE OPTIMIZATION; STATIC ANALYSIS; STRUCTURAL DESIGN;

STRUCTURAL OPTIMIZATION;

EID: 79958839843     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-010-0530-x     Document Type: Review

References (63)

1. ABAQUS, Inc. (2006) ABAQUS/Standard user's manual version 6.7. Pawtucket, RI
2. Altair Engineering, Inc. (2009) Altair OptiStruct. Introduction to OptiStruct FEA version 10.0. Troy, MI
3. ANSYS, Inc. (2007) ANSYS user's manual version 11.0. Canonsburg, PA
4. Arnold M, Gambling M (2009) Efficient shape optimisation of an aircraft landing gear door locking mechanism by coupling Abaqus to GENESIS. In: Simulia international customer conference, 19th May. London, UK
5. Arora JS (2004) Introduction to optimum design, 2nd edn. Elsevier, USA
6. Automatic Design Laboratory (2009) Structural optimization using equivalent static loads. Hanyang University, Korea Bathe KJ (1996) Finite element procedures in engineering analysis. Prentice Hall, Englewood Cliffs, NJ
7. Bensøe MP, Sigmund O (2003) Topology optimization. Springer, Germany
8. Bonte MHA, van den Boogaard AH, Huétink J (2008) An optimisation strategy for industrial metal forming processes. Struct Multidisc Optim 35(6):571-586
9. Cardoso JB, Arora JS (1992) Design sensitivity analysis of nonlinear dynamic response of structural and mechanical systems. Struct Optim 4:37-46
10. Cho S, Choi KK (2000) Design sensitivity analysis and optimization of nonlinear transient dynamics. Part II-configuration design. Int J Numer Methods Eng 48(3):375-399
11. Choi WS, Park GJ (1999) Transformation of dynamic loads into equivalent static loads based on modal analysis. Int J Numer Methods Eng 46:29-43 (Pubitemid 29483785)
12. Choi WS, Park GJ (2002) Structural optimization using equivalent static loads at all the time intervals. Comput Methods Appl Math 191(19):2077-2094 (Pubitemid 34249083)
13. Cook RD, Malkus DS, Plesha ME, Witt RJ (2001) Concepts and applications of finite element analysis, 4th edn. Wiley, NY
14. Craig KJ, Stander N, Dooge DA, Varadappa S (2005) Automotive crashworthiness design using response surface-based variable screening and optimization. Eng Comput 22:38-61 (Pubitemid 40242579)
15. Dias JMP, Pereria MS (1997) Sensitivity analysis of rigid-flexible multibody systems. Multibody Syst Dyn 1(3):303-322 (Pubitemid 127508383)
16. Erdman AG, Sandor GN (1984) Mechanism design: analysis and synthesis. Prentice Hall, Englewood Cliffs, NJ
17. Function Bay, Inc. (2005) RecurDyn/Solver theoretical manual. Function Bay, Seoul, Korea
18. Gambling M (2008) Efficient topology, topometry and sizing optimisation for LS-DYNA analysis problems coupling LS-DYNA to VR&D GENESIS. In: German LS-DYNA forum, Bamberg, Germany, 30 Sept
19. Grandhi RV, Haftka RT, Watson LT (1986) Design-oriented identification of critical times in dynamic response. AIAA J 24:649-656
20. Green NS, Canfield RA, Swenson E (2009) Structural optimization of joined-wing beam model with bend/twist coupling using ESL, AIAA-2009-2644. In: 50th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Palm Springs, CA, 4-7 May
21. Haftka RT, Gu″rdal Z (1992) Elements of structural optimization. Kluwer, Dordrecht, Netherland
22. Haug EJ (1992) Intermediate dynamics. Prentice Hall, Englewood Cliffs, NJ
23. Hong EP, You BJ, Kim CH, Park GJ (2010) Structural optimization of rigid multibody systems using the equivalent static loads method. 40(1-6):549-562
24. Huh H, Kim SH (2001) Optimum process design in sheet-metal forming with finite element analysis. J Eng Mater Technol, Trans ASME 123:476-481 (Pubitemid 33715768)
25. Imam I, Sandor GN (1973) A general method of kineto-elastodynamic design of high speed mechanisms. Mech Mach Theory 8(4): 497-516
26. Imam I, Sandor GN (1975) High-speed mechanism design-a general analytical approach. J Eng Ind 97(4):609-628
27. Jeong SB, Yi SI, Kan CD, Nagabhushana V, Park GJ (2008) Structural optimization of an automobile roof structure using equivalent static loads. P I Mech Eng D 222(11):1985-1995
28. Jeong SB, Yoon S, Xu S, Park GJ (2010) Non-linear dynamic response structural optimization of an automobile frontal structure using equivalent static loads. P I Mech Eng D 224(4):489-501
29. Kang BS, Shyy YK (2008) Design of flexible bodies in multibody dynamic systems using equivalent static load method. In: Proceedings of the 49th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Schaumburg, IL, 7-10 April
30. Kang BS, Choi WS, Park GJ (2001) Structural optimization under equivalent static loads transformed from dynamic loads based on displacement. Comput Struct 79(2):145-154
31. Kang BS, Park GJ, Arora JS (2005) Optimization of flexible multibody dynamic systems using the equivalent static loads. AIAA J 43(4):846-852 (Pubitemid 40611901)
32. Kang BS, Park GJ, Arora JS (2006) A review of optimization of structures subjected to dynamic loads. Struct Multidisc Optim 31(2):81-95 (Pubitemid 43130320)
33. Kang BS, Shyy YK, Hong Q (2007) Implementation of equivalent static load method in flexible multibody dynamic systems. In: Proceedings of the 7th world congress on structural and multidisciplinary optimization, Seoul, Korea, 21-25 May
34. Kapania RK, Park S (1996) Nonlinear dynamic response and its sensitivity using finite elements in time. Comput Mech 17(5): 306-317 (Pubitemid 126708344)
35. Khan MR, Thornton WA, Willmert KD (1978) Optimality criterion techniques applied to mechanical design. J Mech Design 100(2):319-327
36. Kim YI, Park GJ (2010) Nonlinear dynamic response structural optimization using equivalent static loads. Comput Methods Appl Math 199(9-12):660-676
37. Kim YI, Park GJ, Kolonay RM, Blair M, Canfield RA (2008) Nonlinear response structural optimization of a joined-wing using equivalent loads. AIAA J 46(11):2703-2713
38. Lee JJ, Park GJ (2009) Shape optimization of the initial blank in the sheet metal forming process using equivalent static loads. In: Proceedings of the 8th world congress on structural and multidisciplinary optimization conference, Lisbon, Portugal, 1-5 June
39. Lee HA, Yi SI, Park GJ, Johnson E, Zhang S (2008) Optimization of a structure with contact condition using equivalent loads. In: 12th AIAA/ISSMO multidisciplinary analysis and optimization conference, Victoria, British Columbia, Canada, 10-12 Sept
40. Livermore Software Technology, Co. (2003) LS-Dyna user's manual version 971. 41 Livermore, CA MSC. Software Co. (2009) MD R2 Nastran user's manual. Santa Ana, CA
41. Myers RH, Montgomery DC (1995) Response surface methodology. Wiley, NY
42. National Highway Traffic Safety Administration (2003) Federal motor vehicle safety standards and regulations, USA
43. Nishiwaki S, Saitou K, Min S, Kikuchi N (2000) Topological design considering flexibility under periodic loads. Struct Multidisc Optim 19(1):4-16
44. Olhoff N, Du J (2006) Topology optimization of structures with respect to dynamic and noise emission objectives. In: The 6th ASMOUK/ ISSMO international conference on engineering design optimization, Oxford, UK, 3-4 July
45. Park GJ (2007) Analytical methods in design practice. Springer, Germany
46. Park GJ, Kang BS (2003) Validation of a structural optimization algorithm transforming dynamic loads into equivalent static loads. J Optim Theory Appl 118(1):191-200
47. Park KJ, Lee JN, Park GJ (2005) Structural shape optimization using equivalent static loads transformed from dynamic loads. Int J Numer Methods Eng 63(5):589-602 (Pubitemid 40757784)
48. Ryu YS, Haririan M, Wu CC, Arora JS (1985) Structural design sensitivity analysis of nonlinear response. Comput Struct 21(1-2): 245-255 (Pubitemid 15522021)
49. Sakata S, Ashida F, Zako M (2003) Structural optimization using Kriging approximation. Comput Methods Appl Math 192:923-939 (Pubitemid 36225325)
50. Salway D, Pierre PA, Liebscher M (2009) Practical examples of efficient design optimisation by coupling VR&D GENESIS and LS-DYNA. In: 7th European LS-DYNA conference, Salzburg, Austria, 14 May
51. Shabana AA (1998) Dynamics of multibody systems. Cambridge University Press, Cambridge, UK
52. Shin MK, Park GJ (2008) Determination of the initial blank shape using equivalent static loads-a preliminary study. In: 5th China-Japan-Korea joint symposium on optimization of structural and mechanical systems, Jeju Island, Korea
53. Shin MK, Park KJ, Park GJ (2007) Optimization of structures with nonlinear behavior using equivalent loads. Comput Methods Appl Math 196(4-6):1154-1167
54. Sohoni VN, Haug EJ (1982) A state space technique for optimal design of mechanisms. J Mech Des 104:792-798
55. Stander N, Roux W, Pattabiraman S, Dhulipudi R (1999) Response surface approximations for design optimization problems in nonlinear dynamics. In: ASME, emerging technologies in fluids, structures and fluid/structure interactions, PVP 396, Boston, MA, 1-5 Aug
56. Stroustrup B (2000) The C++ programming language. Addison Wesley, USA
57. Tsay JJ, Arora JS (1990) Nonlinear structural design sensitivity analysis for path dependent problems. Part 1: general theory. Comput Methods Appl Math 81(2):183-208 (Pubitemid 20733667)
58. Vanderplaats GN (1993) Thirty years of modern structural optimization. Adv Eng Softw 16(2):81-88 (Pubitemid 23670383)
59. Vanderplaats Research and Development, Inc. (2001) DOT user's manual version 5.7. Colorado Springs, CO
60. Vanderplaats Research and Development, Inc. (2009) GENESIS user's manual version 11.0. Colorado Springs, CO
61. Yoon GH, Kim YY (2007) Topology optimization of materialnonlinear continuum structures by the element connectivity parameterization. Int J Numer Methods Eng 69(10):2196-2218 (Pubitemid 46380539)
62. Yu YQ, Smith MR (1996) The effect of cross-sectional parameters on the dynamics of elastic mechanisms. Mech Mach Theory 31(7):947-958
63. Zhang S, Johnson E, Chou D, Proctor L, Park GJ (2008) Optimization of nonlinear structural responses with MD Nastran. In: Proceedings of the 12th AIAA/ISSMO MAO conference, Victoria, Canada, 10-12 Sept