Optimum Structural Designs in Dynamic Response

In this study, two methods of the optimum structural designs in dynamic response are newly presented and the validity and effectiveness of the methods are revealed by several numerical examples. The proposed two methods respectively consist of the following combined algorithms after discretizing the objective structural system by a certain method of discretization, for example, the finite element method: (1) Method 1 (step-by-step integration procedure and optimization technique using gradients); (2) Method II (modal analysis and optimization technique using gradients). Emphasis is put on the derivation of convenient computation procedure of gradient of response quantities (displacement, velocity, acceleration, stress, strain) with respect to design variables. Two basic types of problems are considered in beams and framed structures which are subjected to the prescribed impulsive forces and ground motions. Several kinds of numerical solutions for such problems are obtained by utilizing the proposed two methods where the gradient projection method is adopted for one of optimization techniques.
This article is from Proceedings of the International Symposium on Optimum Structural Design, AD-A119 989.