Optimization of position, size and thickness of viscoelastic damping patch for vibration reduction of a cylindrical shell structure

Abstract

This paper focuses on dynamic modeling of cylindrical shell with partial rectangular viscoelastic damping patch (VDP) coverage and multi-objective optimization method for damping treatment. A dynamic analysis model of composite shell is established by using semi-analytical method, which includes the position, size and thickness of the VDP (the position and size of VDP are described by axial and circumferential coordinates) and can be used as the basic model for damping optimization. The reciprocal of weighted sum of the modal loss factors of composite shell and the mass of VDP are taken as the optimization objectives, 5 parameter values including two axial coordinates, two circumferential coordinates and thickness of VDP are chosen as design variables, and thus a more general multi-objective damping optimization model is established. The multi-objective particle swarm optimization (MOPSO) algorithm is used and the optimization calculation procedure is described. A cylindrical shell with ZN-1 VDP is chosen to display the proposed method. After verifying the rationality of the semi-analytical model by experiments, the multi-objective damping optimization is carried out, and the relationship between the optimal values of two objective functions and the relationship between the optimal values of objective functions and the design variables is analyzed.