Optimal Design Of Structures Subject To Nonconservative Forces
The essential difficulties with optimization of nonconservative systems are considered. Model problems are used to show that the functions of the optimization problem may be nonsmooth and possibly also discontinuous functions of the design variables. It is further demonstrated that considering a slightly more complicated structural model with damping may simplify design optimization. Using a model with damping, it is possible to pose the optimization problem in the form of matrix inequalities. The resulting problem may then be solved using a barrier method with smooth objective and constraint functions.
KeywordsOptimal Design Eigenvalue Problem Critical Load Stability Constraint Complex Conjugate Pair
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- 1.A. P. Seyranian and P. Pedersen. On interaction of eigenvalue branches in nonconservative multi-parameter problems. DCAMM report 478, Department of Solid Mechanics, The Technical University of Denmark, 1993.Google Scholar
- 3.M. Zyczkowski and A. Gajewski. Optimal structural design under stability constraints. In Collapse: The buckling of structures in theory and practice. Cambridge University Press, 1982.Google Scholar
- 4.W. Gutkowski, O. Mahrenholtz, and M. Pyrz. Minimum weight design of structures under nonconservative forces. In NATO ASI E 231, pages 1087–1099, 1991.Google Scholar
- 8.Y. Nesterov and A. Nemirovsky. Interior point polynomial methods in convex programing, volume 13 of Studies in applied mathematics. SI AM, 1993.Google Scholar