基于能量有限元法和虚拟模态综合法的高频冲击响应分析方法

To analyze the transient response of structures under high-frequency shock load, a new method based on Energy Finite Element Method (EFEM) and Virtual Mode Synthesis and Simulation (VMSS) is proposed. The frequency band average of the Frequency Response Function (FRF) is obtained from steady-state analysis by energy finite element method, and then the virtual mode coefficients are calculated by virtual mode synthesis and simulation. Finally, the shock response of structures under high-frequency shock load is evaluated by Duhamel integral. Numerical simulations of a pinned-pinned beam are performed. The results obtained by the method proposed are compared with those obtained by the Finite Element Method (FEM) and Statistical Energy Analysis (SEA), showing that the proposed method is valid, and has the advantages of simple model, low computational cost, etc.