Integrated layout and topology optimization design of multi-component structure system under harmonic force excitation

This paper presents an integrated layout and topology optimization of the multi-component structure system under harmonic force excitation. The configuration of the supporting structure and the component layout are simultaneously optimized to minimize the displacement responses that are obtained by using the Mode Acceleration Method (MAM). The Multi-Point Constraint (MPC) scheme is employed to simulate the rivets and bolts connecting components and supporting structures. The Finite Circle Method (FCM) is used to avoid overlaps among different components and boundaries of supporting structures. The mathematical model for the integrated layout and topology optimization of multi-component structure system is established, and the sensitivities of the objective function to design variables are deduced. Numerical examples are presented to demonstrate the effectiveness and validity of the proposed method for solving problems under harmonic force excitation.