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Approximate Models for Structural Optimization
Abstract Practical methods for optimal design of structures are usually based on approximation concepts. Some approximate models for structural optimization are presented in this article. Two classes of such models are discussed: (a) Approximate equilibrium models, where approximations of the displacements in terms of the design variables will lead to an optimal solution which does not necessarily satisfy equilibrium. (b) Approximate compatibility models, where approximations of the forces will lead to an optimal solution which does not necessarily satisfy compatibility. High quality approximations for the two classes are presented. The relationships between the various approximations are derived and some models are shown to be equivalent under certain assumptions. It is shown that the improved behaviour models proposed in this study often provide sufficient results with a moderate computational effort. The possibility of improving the optimal solution by prestressing and passive control devices is demonstrated.
Approximate Models for Structural Optimization
Abstract Practical methods for optimal design of structures are usually based on approximation concepts. Some approximate models for structural optimization are presented in this article. Two classes of such models are discussed: (a) Approximate equilibrium models, where approximations of the displacements in terms of the design variables will lead to an optimal solution which does not necessarily satisfy equilibrium. (b) Approximate compatibility models, where approximations of the forces will lead to an optimal solution which does not necessarily satisfy compatibility. High quality approximations for the two classes are presented. The relationships between the various approximations are derived and some models are shown to be equivalent under certain assumptions. It is shown that the improved behaviour models proposed in this study often provide sufficient results with a moderate computational effort. The possibility of improving the optimal solution by prestressing and passive control devices is demonstrated.
Approximate Models for Structural Optimization
Kirsch, U. (author)
1992-01-01
37 pages
Article/Chapter (Book)
Electronic Resource
English
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