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

doi:10.7527/S1000-6893.2018.21893

固体力学与飞行器总体设计

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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

陈兆林¹, 杨智春¹, 王用岩², 张新平³

1. 西北工业大学航空学院, 西安 710072;
2. 航空工业成都飞机设计研究所, 成都 610091;
3. 航空工业陕西飞机工业(集团)公司设计院, 汉中 723213

收稿日期:2017-11-24 修回日期:2018-05-02 出版日期:2018-08-15 发布日期:2018-05-02
通讯作者: 杨智春 E-mail:yangzc@nwpu.edu.cn
基金资助:
国家自然科学基金（11472216）

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

CHEN Zhaolin¹, YANG Zhichun¹, WANG Yongyan², ZHANG Xinping³

1. School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China;
2. AVIC Chengdu Aircraft Design & Research Institute, Chengdu 610091, China;
3. AVIC Shaanxi Aircraft Industry(Group) Corporation Ltd., Hanzhong 723213, China

Received:2017-11-24 Revised:2018-05-02 Online:2018-08-15 Published:2018-05-02
Supported by:
National Natural Science Foundation of China (11472216)

摘要/Abstract

摘要： 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。

关键词: 能量有限元法, 虚拟模态综合法, 高频冲击, 瞬态响应, 冲击响应谱

Abstract: 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.

Key words: energy finite element method, virtual mode synthesis and simulation, high-frequency shock, transient response, shock response spectrum

中图分类号:

V415.4
TB122

陈兆林, 杨智春, 王用岩, 张新平. 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[J]. 航空学报, 2018, 39(8): 221893-221893.

CHEN Zhaolin, YANG Zhichun, WANG Yongyan, ZHANG Xinping. A high-frequency shock response analysis method based on energy finite element method and virtual mode synthesis and simulation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(8): 221893-221893.

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E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

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

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

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