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http://dx.doi.org/10.3795/KSME-A.2005.29.8.1051

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

Park Ki-Jong (현대 기아 연구개발본부)
Park Gyung-Jin (한양대학교 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.29, no.8, 2005 , pp. 1051-1060 More about this Journal
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
Equivalent Static Load(ESL); Nonlinear Response Optimization; Structural Optimization;
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Times Cited By KSCI : 3  (Citation Analysis)
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1 Bathe, K.J., 1996, Finite Element procedures in Engineering Analysis, Prentice Hall, Englewood Cliffs, NJ, USA
2 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   과학기술학회마을   DOI
3 Park, K.J., 2004, Nonlinear Response Structural Optimization Using Equivalent Static Loads, Ph. D. Thesis, Hanyang University, Korea
4 DOT Users Manual Version 5.3, 2003, Vanderplaats Research & Development, Inc., CO, USA
5 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   DOI   ScienceOn
6 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   DOI   ScienceOn
7 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   DOI   ScienceOn
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   DOI   ScienceOn
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   DOI   ScienceOn
10 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   DOI   ScienceOn
11 Kirsch, U., 1981, Optimum Structural Design, McGraw-Hill Book Company, New York, USA
12 Vanderplaats, G.N., 1984, Numerical Optimization Techniques for Engineering Design, McGraw-Hill Book Company, New-York, USA
13 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   DOI   ScienceOn
14 Schmit, L.A., 1981, 'Structural Synthesis - Its Genesis and Development,' AIAA J., Vol. 19, pp. 1249-1263   DOI
15 Arora, J.S., 1989, Introduction to Optimum Design, McGraw-Hill Book Company, New York, USA
16 Haug, E.J. and Arora, J.S., 1979, Applied Optimal Design, John Wiley & Sons, Inc., New York, USA