Indexed by:期刊论文

Date of Publication:2016-02-01

Journal:STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

Included Journals:SCIE、EI

Volume:53

Issue:2

Page Number:225-237

ISSN No.:1615-147X

Key Words:Adjoint sensitivity analysis; Lyapunov's second method; Passive vibration control

Abstract:The existing direct sensitivity analysis of optimal structural vibration control based on Lyapunov's second-method is computationally expensive when applied to finite element models with a large number of degree-of-freedom and design variables. A new adjoint sensitivity analysis method is proposed in this paper. Using the new method the sensitivity of the performance index, a time integral of a quadratic function of state variables, with respect to all design variables is calculated by solving two Lyapunov matrix equations. In consideration of computational cost reduction, the new adjoint method is further extended to the reduced order model by Guyan method. This makes the method applicable to large finite element models. Two numerical examples demonstrate the accuracy and efficiency of the proposed method.