Optimal Vibration Support of Continuous Systems : 1st Report, Search Algorithm for Optimal Location

Abstract

This paper presents an algorithm for finding the optimal vibration support of continuous systems and its application to elastic structural elements such as plates and shells. The optimization here implies maximization of lowest natural frequencies, and the gradient method is used for this purpose. In numerical examples, an analytical method previously developed is used to obtain eigenvalues of four-point supported shallow shells, and the optimal design algorithm is demonstrated for this structural model.