Shape optimization for vibration suppression of structures with Maxwell-type viscoelastic dampers

Abstract

This study proposes an efficient analysis method of shape optimization aimed at vibration suppression for structures with Maxwell-type viscoelastic dampers. A shape gradient function equivalent to the sensitivity function was derived using the adjoint variable method, and shape optimization was performed using the H1 gradient method. In calculating the shape gradient function, calculation costs were reduced by using the results of modal analysis of the frequency response and adjoint variables. An optimization system was constructed by combining a FEM software and a self-developed optimization program. Numerical analysis was conducted on a simple model, and the effectiveness of this method was confirmed by the analysis results.