Optimization Design of Structure Subject to Impact for Minimization of Residual Vibration

External impact on engineering structure generates residual vibration, which may deteriorate structural performance. This paper studies optimum design of combined structure subject to impact for minimization of residual vibration. The objective function of the optimization problem is a performance index in the form of the integral of a quadratic function, which measures the residual vibration response globally. The design variables are geometric parameters of combined structure including size, shape and layout of the structure and its members. Due to the complexity of the stiffness matrix and mass matrix of the combined structure, a semi analytical sensitivity approach was implemented to overcome the difficulty of adjoint sensitivity evaluation. Both commercial software Matlab and Ansys were adopted to realize the semi-analytical sensitivity analysis and the optimization process. One numerical example demonstrates the effectiveness of the proposed method.