Ritz method for dynamic analysis of structures under random loading

摘要

The main purpose of this paper is the calculation of the dynamic frequency response of complex structures subjected to random loading. A Ritz basis mode superposition method, associated with an algorithm to update the modal basis, in order to control the quality of dynamic response both in frequency or time domain, is presented. The Titz basis eliminates the need of the eigenvalue problem exact solution, and it includes the pseudo-static correction due to higher mode truncation by the generation of a load dependent modal basis. In this paper, the proposed approach is used for the random analysis of a large jacket platform and a compliant tower