Topological optimization for constrained damping in vibration control of cylindrical shell

Structures with damping have a better performance in reducing vibration. Based on the density approach with RAMP interpolation model, a topologic model of constrained damping structure was established with the minimum of reciprocal of modal loss factors as a target function, the volume of damping structure as a constraint condition, and the relative density of constrained damping element as a design variable. The updating criterion of design variable was derived based on an optimal criteria method. And the topologic optimization program was developed based on the finite element method. The topological optimization for constrained damping structure in vibration control of cylindrical shell was carried out. The analysis shows that the topologic optimization method combined with the optimal criteria method needs less number of iterations and can reduce the vibration response of structure effectively, which indicates the validity of the design approach.