基于非线性虚拟材料栓接结合部动力学建模方法

doi:10.12068/j.issn.1005-3026.2021.08.008

东北大学学报（自然科学版） ›› 2021, Vol. 42 ›› Issue (8): 1111-1119.DOI: 10.12068/j.issn.1005-3026.2021.08.008

基于非线性虚拟材料栓接结合部动力学建模方法

马辉，于明月，高昂，赵晨光

(东北大学机械工程与自动化学院，辽宁沈阳110819)

修回日期:2020-09-01 接受日期:2020-09-01 发布日期:2021-09-02
通讯作者: 马辉
作者简介:马辉(1977-)，男，河北衡水人，东北大学教授，博士生导师.
基金资助:
国家自然科学基金资助项目(11972112).

Dynamic Modeling Method of Bolted Joint Interfaces Based on Nonlinear Transversely Isotropic Virtual Material

MA Hui， YU Ming-yue， GAO Ang， ZHAO Chen-guang

School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China.

Revised:2020-09-01 Accepted:2020-09-01 Published:2021-09-02
Contact: MA Hui
About author:-
Supported by:
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摘要/Abstract

摘要： 为仿真栓接结合部非线性动力学特性，提出一种基于非线性横观各向同性虚拟材料的栓接结合部动力学建模方法.基于有限单元法，利用8节点实体单元构建被连接件及用来等效栓接结合部的横观各向同性虚拟材料层，虚拟材料层与被连接件固接.采用非线性虚拟材料等效栓接结合部，以模拟含栓接结合部结构在不同幅值的外简谐激振下所体现出的非线性刚度特性.为提高非线性模型计算精度，将非线性横观各向同性虚拟材料层进行分区处理，每个区域虚拟材料参数分别由该区域虚拟材料的形变确定.最后，对模型进行局部降维，在时域下求解模型的幅频响应，通过对比仿真计算结果和试验结果，验证所提出建模方法的可行性与有效性.

关键词: 栓接结合部;虚拟材料;有限元方法;非线性刚度;分区建模;局部降维

Abstract: To simulate the nonlinear dynamic characteristics of bolted joint， a dynamic modeling method of bolted joint based on nonlinear transversely isotropic virtual material is proposed. Based on the finite element method， 8-node solid elements are used to construct the connected parts and the bolted joint that is simulated by the transversely isotropic virtual material， and the virtual material is fixed to the connected parts. The nonlinear virtual material is used to simulate the nonlinear stiffness characteristics of the bolted joint under different external harmonic excitation forces. In order to make the calculation of the nonlinear model more accurate， the nonlinear transversely isotropic virtual material is partitioned， and the virtual material parameters of each region are determined by the deformation of the virtual material in the region. Finally， the dimension of the model is reduced partly and the amplitude frequency response of the model is solved in time domain. The feasibility and effectiveness of the as-proposed modeling method are verified by comparing the theoretical calculation results with that of the experiments.

Key words: bolted joint; virtual material; finite element method; nonlinear stiffness; partition modeling; local dimensionality reduction

中图分类号:

TH131.1

马辉，于明月，高昂，赵晨光. 基于非线性虚拟材料栓接结合部动力学建模方法[J]. 东北大学学报（自然科学版）, 2021, 42(8): 1111-1119.

MA Hui， YU Ming-yue， GAO Ang， ZHAO Chen-guang. Dynamic Modeling Method of Bolted Joint Interfaces Based on Nonlinear Transversely Isotropic Virtual Material[J]. Journal of Northeastern University(Natural Science), 2021, 42(8): 1111-1119.

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基于非线性虚拟材料栓接结合部动力学建模方法

Dynamic Modeling Method of Bolted Joint Interfaces Based on Nonlinear Transversely Isotropic Virtual Material

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