Development of Structural Optimization Method for Vibration Reduction. 1st Report. Structural Optimization Theory Using the Homogenization Method.

Abstract

A topology and shape optimization technique, which utilizes the concept of microstructure and the homogenization method, is developed for structural dynamic problems. First, the structural optimization problem is transformed into an OMD problem (optimal material distribution). A new objective function is then suggested for eigenvalue optimization problems. An improved updating algorithm which was derived by the authors through a convex linearization approach and the dual method is employed for the optimization problems. Finally, three examples are given to demonstrate the feasibility of the approach developed in this paper.