Lattice structure optimization design under harmonic base acceleration excitations

Aerospace products face an increasingly violent vibration environment, and at the same time, higher lightweight requirements are put forward for structural design. Aiming at the problem of structural vibration suppression under simple harmonic base acceleration excitation, this paper proposes an optimization method to reduce the dynamic response of the structure by optimizing the cross-sectional size of the lattice structural members based on the lightweight lattice structure with high specific strength and specific stiffness. Taking the cross-sectional size of the lattice structural members as the design variable and the structural volume as the constraint, an optimization mathematical model with the smallest displacement response at the key points of the structure under simple harmonic base acceleration excitation is established as the optimization goal. The modal displacement method is used to efficiently solve the dynamic response and sensitivity of the structure, and the optimization problem is solved by the GCMMA optimization algorithm. Numerical examples and vibration experiments show that the lattice structure optimization method proposed in this paper can greatly reduce the vibration response of the structure while ensuring the lightweight structure.