Abstract:

Desinging a structure with prescribed vibration frequenc ies and/or modes of vibration is called inverse problem of structural dynamics. It has important value both in practice and theory. In this paper, an inverse eigenvalue method for resolving this problem is presented. The main idea of the method is to consider the inverse problem of structural dynamics as a generalized inverse eigenvalue problem （2.5）^2.7 and build a functional （3.8）. Then this problem is reduced to finding minimum of a qu-ardratic functional subject to constrains. The algorithm uses random numbers to generate the initial value automatically. It is suitable to structural dynamic modifications or of high accuracy and vibration design with reliable convergence. It can be used when frequencies and modes of vibration are given or only the frequencies are given. The orders of desirable frequencies and/or modes of vibration are optional. Possible limitations in design have also been consider. The numerical examples and experiments have showen that the algorithm is wffective. It has been applied to theoretical physics and aeronautical engineering successfully ahd effectively.