Objectives  In order to further improve the vibration characteristics of traditional constrained damping structures, the optimized design of an improved constrained stand-off layer damping structure with engineering application value is carried out.

  Methods  First, based on the thin plate bending theory and Hamilton variation principle, the dynamic characteristics of constrained stand-off layer damping structures are investigated; second, the basic principle of the iterative optimization of particle swarm optimization is expounded upon, and a particle swarm optimization algorithm with continuous variables and discrete variables proposed; finally, combined with the dynamic characteristics of constrained stand-off layer damping structures, the improved particle swarm optimization is used to realize the optimal allocation of the structure.

  Results  When the search algorithm is optimized to the 12th generation, the algorithm tends to be stable, indicating that it is convergent.

  Conclusions  The optimization results show that the particle swarm optimization can better solve the dynamic optimization problem of constrained stand-off layer damping structures, and obtain an optimal solution that can be applied in practical engineering.