A computational method for optimal structural design II: Continuous problems
作者： E. J. Haug , K. C. Pan , T. D. Streeter
关键词: Distribution (mathematics) 、 Buckling 、 Function (mathematics) 、 Mathematical optimization 、 Natural frequency 、 Minimum weight 、 Method of steepest descent 、 Displacement (vector) 、 Mathematics 、 Discretization 、 General Engineering 、 Applied mathematics 、 Numerical analysis
摘要: A method for solving structural design problems that allows a continuous distribution of material along elements is presented. The an extension the generalized steepest descent presented in Reference 1. Inequality constraints on variables, displacement, natural frequency, and buckling are explicitly treated minimum weight cost function employed. boundary-value state equations developed computational algorithm given. Several example solved compared with results obtained by discretization techniques.
harvard.edu
sci-hub.se 参考文章(12)
Jr Haug, Edward J., Engineering Design Handbook. Computer Aided Design of Mechanical Systems Defense Technical Information Center. ,(1973) , 10.21236/AD0767826
Tosio Kato, Perturbation theory for linear operators ,(1966)
Niels Olhoff, Optimal design of vibrating rectangular plates International Journal of Solids and Structures. ,vol. 10, pp. 93- 109 ,(1974) , 10.1016/0020-7683(74)90103-6
E. J. Haug, P. G. Kirmser, Minimum Weight Design of Beams With Inequality Constraints on Stress and Deflection Journal of Applied Mechanics. ,vol. 34, pp. 999- 1004 ,(1967) , 10.1115/1.3607869
J. E. TAYLOR, Optimum design of a vibrating bar with specified minimum cross section. AIAA Journal. ,vol. 6, pp. 1379- 1381 ,(1968) , 10.2514/3.4755
E. J. Haug, K. C. Pan, T. D. Streeter, A computational method for optimal structural design. I. Piecewise uniform structures International Journal for Numerical Methods in Engineering. ,vol. 5, pp. 171- 184 ,(1972) , 10.1002/NME.1620050204
J. E. TAYLOR, C. Y. LIU, Optimal design of columns. AIAA Journal. ,vol. 6, pp. 1497- 1502 ,(1968) , 10.2514/3.4795
W. Prager, J. E. Taylor, Problems of Optimal Structural Design Journal of Applied Mechanics. ,vol. 35, pp. 102- 106 ,(1968) , 10.1115/1.3601120
Jane Cullum, Finite-Dimensional Approximations of State-Constrained Continuous Optimal Control Problems Siam Journal on Control. ,vol. 10, pp. 649- 670 ,(1972) , 10.1137/0310048
E. J. HAUG, B. R. MCCART, T. D. STREETER, Optimal design of structures with constraints on natural frequency AIAA Journal. ,vol. 8, pp. 1012- 1019 ,(1970) , 10.2514/3.5824