The invention discloses a
topological optimization design method of a periodic perforated constrained damping
sheet structure, and belongs to the technical field of structure optimization. The methodincludes: establishing a
topological optimization model of a periodic perforated constrained damping plate structure by taking maximization of a macrostructure
modal loss factor as an optimization target, taking a damping material microcosmic unit as a design variable and taking a damping material usage amount as a constraint condition; establishing a
cell element finite
element model of the damping material, analyzing the equivalent density and the
elastic matrix of the damping material
cell element by adopting a homogenization theory, and establishing a macroscopic finite
element model of the periodic perforated constraint damping plate structure on the basis; analyzing the sensitivity of the optimization target, and solving the established optimization model by adopting a moving progressive optimization method to obtain the
topological optimization structure of the damping material
cell element. According to the design method, the damping characteristic of the constrained damping plate structure can be effectively improved under the condition that the using amount of damping materials is controlled, and the good vibration and
noise reduction effect is achieved.