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

为了分析结构受到高频冲击载荷激励后的瞬态响应，提出了一种基于能量有限元法（EFEM）和虚拟模态综合（VMSS）法的高频冲击响应分析方法。通过能量有限元法进行高频稳态分析，获得结构频响函数（FRF）的频段平均值，然后结合虚拟模态综合法得到虚拟模态振型系数，最后通过Duhamel积分获得结构在高频冲击载荷作用下的瞬态响应。对一简支梁模型进行算例分析，将本文方法的结果与传统有限元法（FEM）和统计能量法（SEA）的分析结果进行对比，验证了所提方法的有效性，也表明该方法具有模型简单、分析速度快等优点。

A high-frequency shock response analysis method based on energy finite element method and virtual mode synthesis and simulation

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.