Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Structural Optimization for Non-Linear Behavior Using Equivalent Static Loads (I)

선형 등가정하중을 이용한 비선형 거동 구조물의 최적설계 (I) - 알고리듬 -

  • Published : 2005.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

Nonlinear Response Optimization using Equivalent Static Loads (NROESL) method/algorithm is proposed to perform optimization of non-linear response structures. The conventional method spends most of the total design time on nonlinear analysis. The NROESL algorithm makes the equivalent static load cases for each response and repeatedly performs linear response optimization and uses them as multiple loading conditions. The equivalent static loads are defined as the loads in the linear analysis, which generates the same response field as those in non-linear analysis. The algorithm is validated for the convergence and the optimality. The proposed algorithm is applied to a simple mathematical problem to verify the convergence and the optimality.

Keywords

References

  1. Haug, E.J. and Arora, J.S., 1979, Applied Optimal Design, John Wiley & Sons, Inc., New York, USA
  2. Kirsch, U., 1981, Optimum Structural Design, McGraw-Hill Book Company, New York, USA
  3. Schmit, L.A., 1981, 'Structural Synthesis - Its Genesis and Development,' AIAA J., Vol. 19, pp. 1249-1263 https://doi.org/10.2514/3.7859
  4. Arora, J.S., 1989, Introduction to Optimum Design, McGraw-Hill Book Company, New York, USA
  5. Vanderplaats, G.N., 1984, Numerical Optimization Techniques for Engineering Design, McGraw-Hill Book Company, New-York, USA
  6. Khot, N.S. and Kamat, M.P., 1985, 'Minimum Weight Design of Truss Structures with Geometric Nonlinear Behavior,' AIAA. J., Vol. 23, No. 1., pp. 139-144 https://doi.org/10.2514/3.8882
  7. Ryu, Y.S., Haririan, M., Wu, C.C. and Arora, J.S., 1985, 'Structural Design Sensitivity Analysis of Nonlinear Response,' Computers & structures, Vol. 21, No. 1/2, pp.245-255 https://doi.org/10.1016/0045-7949(85)90247-0
  8. Wu, C.C. and Arora, J.S., 1987, 'Design Sensitivity Analysis And Optimization Of Nonlinear Structural Response Using Incremental Procedure,' AIAA J., Vol. 25, No. 8, pp. 1118-1125 https://doi.org/10.2514/3.9752
  9. Tsay, J.J. and Arora, J.S., 1990, Nonlinear Structural Design Sensitivity Analysis for Path Dependent Problems. Part 1: General Theory, Comp. Meth. Appl. Mech. Engng, Vol. 81, pp. 183-208 https://doi.org/10.1016/0045-7825(90)90109-Y
  10. Lee, T.H. and Arora, J.S., 1995, 'A Computational Method for Design Sensitivity Analysis of Elastoplastic Structures,' Comput. Methods Appl. Mech. Engrg., Vol.122, pp. 27-50 https://doi.org/10.1016/0045-7825(94)00719-4
  11. Kang, B.S., Choi, W.S. and Park, G.J., 2001, 'Structural Optimization Under Equivalent Static Loads Transformed from Dynamic Loads Based on Displacement,' Computers & Structures, Vol. 79, No. 2, pp. 145-154 https://doi.org/10.1016/S0045-7949(00)00127-9
  12. Choi, W.S. and Park, G.J., 2002, 'Structural Optimization Using Equivalent Static Loads at All Time Intervals,' Computer Methods in Applied Mechanics and Engineering, Vol. 191, No. 19/20, pp. 2077-2094 https://doi.org/10.1016/S0045-7825(01)00373-5
  13. Park, K.J., Lee, J.N. and Park, G.J., 2003, 'Structural Shape Optimization under Static Loads Transformed from Dynamic Loads,' Transactions of KSME A, Vol. 27, No. 8, pp. 1363-1370 https://doi.org/10.3795/KSME-A.2003.27.8.1363
  14. Bathe, K.J., 1996, Finite Element procedures in Engineering Analysis, Prentice Hall, Englewood Cliffs, NJ, USA
  15. Park, K.J., 2004, Nonlinear Response Structural Optimization Using Equivalent Static Loads, Ph. D. Thesis, Hanyang University, Korea
  16. DOT Users Manual Version 5.3, 2003, Vanderplaats Research & Development, Inc., CO, USA

Cited by

  1. Optimization of the Television Packing System Using Equivalent Static Loads vol.39, pp.3, 2015, https://doi.org/10.3795/KSME-A.2015.39.3.311