• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2020, Vol. 56 ›› Issue (9): 147-153.doi: 10.3901/JME.2020.09.147

• 摩擦学 • 上一篇    下一篇

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基于模态应变能的接触刚度识别方法

赵广1, 金鑫1, 崔颖2, 冯志飞1, 王亭月1, 熊志亮1   

  1. 1. 大连理工大学能源与动力学院 大连 116024;
    2. 大连海事大学船舶与海洋工程学院 大连 116026
  • 收稿日期:2019-05-19 修回日期:2019-11-29 出版日期:2020-05-05 发布日期:2020-05-29
  • 通讯作者: 崔颖(通信作者),女,1977年出生,博士,副教授,硕士研究生导师。主要研究方向为转子动力学与接触力学。E-mail:cuiying@dlmu.edu.cn
  • 作者简介:赵广,男,1981年出生,博士,副教授,硕士研究生导师。主要研究方向为转子动力学与接触力学。E-mail:zhaoguang@dlut.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11672053)。

Contact Stiffness Identification Method Based on Modal Strain Energy

ZHAO Guang1, JIN Xin1, CUI Ying2, FENG Zhifei1, WANG Tingyue1, XIONG Zhiliang1   

  1. 1. School of Energy and Power, Dalian University of Technology, Dalian 116024;
    2. College of Naval Architecture and Ocean Engineering, Dalian Maritime University, Dalian 116026
  • Received:2019-05-19 Revised:2019-11-29 Online:2020-05-05 Published:2020-05-29

摘要: 由于模态应变能对结构局部变形敏感,因而在以螺栓连接结构为代表装配结构中,预紧力变化对接触刚度和结构固有特性的影响可以采用模态应变能的方法进行分析,据此提出基于模态应变能的接触刚度识别方法,提高粗糙表面接触刚度识别的精度。以螺栓连接的T型块试验台为例,通过测试不同螺栓预紧力下结构前3阶固有频率,并采用薄层单元等效粗糙表面接触特性;考虑结构各阶模态应变能权重,进行了接触刚度识别和识别误差分析。研究结果表明,各阶模态应变能权重随着接触刚度或螺栓预紧力变化可能呈现不同的趋势,导致基于单阶模态的接触刚度识别结果之间存在较大差异;基于模态应变能的接触刚度识别方法由于综合考虑各阶模态的权重,反映了各阶固有频率的总体变化趋势;随着螺栓预紧力增大,接触刚度总体非线性增加,接触刚度识别误差总体下降。所提出的基于模态应变能的接触刚度识别方法,建立了螺栓连接结构中预紧力变量、粗糙表面接触刚度和模态固有频率耦合机制,为粗糙表面接触刚度建模提供了一种精确的识别方法。

关键词: 接触刚度, 薄层单元法, 刚度识别, 接触力学, 螺栓连接结构

Abstract: Because the modal strain energy is sensitive to structural local deformation, in the assembly structure which represented by bolt connection structure, the influence of load force change on contact stiffness and inherent characteristics can adopt the method of modal strain energy. Contact stiffness identification method is proposed based on this method which can improve the accuracy of rough surface contact stiffness identification. Taking the bolt-connected T-block experimental structure as an example, the first 3 natural frequencies under different load forces of bolt are tested, and then rough surface contact characteristics are equalized by using thin layer elements method. Considering the modal strain energy weights of the structure, the contact stiffness identified and identification error is discussed. The results show that the modal strain energy weights of each order may show different trends with the change of contact stiffness or bolt load force, which leads to great differences between the results of contact stiffness identification based on single mode. The results of contact stiffness identification based on modal strain energy which considers modal strain energy weights of each order reflect the overall change trend of natural frequencies. With the increase of the load force of the bolt, contact stiffness generally increase, but the identification error generally decrease. Based on the modal strain energy, the contract stiffness identification method is proposed, and the coupling mechanism of pre-tightening force variable, rough surface contact stiffness and modal natural frequency is established, which provides an accurate identification method for rough surface contact stiffness modeling.

Key words: contact stiffness, thin layer element method, stiffness identification, contact mechanics, bolted connection structure

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