基于虚拟梯度材料的螺栓结合面建模方法

doi:10.13229/j.cnki.jdxbgxb201604021

吉林大学学报(工学版) ›› 2016, Vol. 46 ›› Issue (4): 1149-1155.doi: 10.13229/j.cnki.jdxbgxb201604021

基于虚拟梯度材料的螺栓结合面建模方法

廖静平^{1, 2}, 张建富^{1, 2}, 郁鼎文^{1, 2}, 冯平法^{1, 2}

1.清华大学机械工程系, 北京100084;
2. 清华大学精密超精密制造装备及控制北京市重点实验室,北京100084

收稿日期:2015-03-06 出版日期:2016-07-20 发布日期:2016-07-20
通讯作者: 张建富(1975-),男,副教授,博士.研究方向:高效精密加工工艺与装备.E-mail:zhjf@tsinghua.edu.cn
作者简介:廖静平(1989-),男,博士研究生.研究方向:TBM刀盘结构设计分析.E-mail:woshiliao1989@163.com
基金资助:
“973”国家重点基础研究发展计划项目(2013CB035402)

Modeling method of bolted joint interface based on gradient virtual materials

LIAO Jing-ping^{1, 2}, ZHANG Jian-fu^{1, 2}, YU Ding-wen^{1, 2}, FENG Ping-fa^{1, 2}

1.Department of Mechanical Engineering, Tsinghua University, Beijing 100084,China;
2.Beijing Key Laboratory of Precision/Ultra-precision Manufacturing Equipments and Control, Tsinghua University,Beijing 100084,China

Received:2015-03-06 Online:2016-07-20 Published:2016-07-20

摘要/Abstract

摘要： 为准确分析螺栓连接件的动态性能,提出了一种基于虚拟梯度材料的螺栓结合面建模方法。将螺栓连接结合部等效为一种局部的虚拟梯度材料,虚拟梯度材料与被连接件皆为固定连接。通过有限元方法获得了螺栓连接结合面的接触压强分布情况,在此基础上,应用胡克定律,推导了虚拟梯度材料的弹性常量与径向位置之间的关系。采用分层法建立了基于虚拟梯度材料的螺栓结合面有限元分析模型,分别获取了固结、传统虚拟材料与虚拟梯度材料结合面表征下试件的理论模态,并开展模态实验,从振型和固有频率两方面进行了对比分析,验证了本文虚拟梯度材料建模方法的有效性。结果表明:虚拟梯度材料模型的模态与实验模态的前6阶振型一致,前6阶固有频率的相对误差数值都在10%以内,建模精度高。

关键词: 机械学, 螺栓结合面, 面压分布, 虚拟梯度材料, 模态分析

Abstract: To improve the modeling precision of bolted joints, a new modeling method based on gradient virtual materials was proposed. First, the contact pressure distribution on bolted joint interface was obtained through interpolating and revising the contact interface force. Then, the analytical expressions of the elastic modulus and shear modulus were derived for gradient virtual material according to Hooke Law. By using a layering method, the analytical formulas of the gradient virtual material was inserted into finite element software to construct the interface model. Qualitative comparison of similar mode and quantitative comparison of corresponding natural frequency were carried out between the simulation and experimental results. It is shown that the first six order vibration shapes of the gradient virtual material models are consistent with experimental results. The modeling precision of the gradient virtual material model is much better than that of traditional virtual material model.

Key words: mechanics, bolted joint, contact pressure distribution, gradient virtual material, modal analysis

中图分类号:

TH113.1

廖静平, 张建富, 郁鼎文, 冯平法. 基于虚拟梯度材料的螺栓结合面建模方法[J]. 吉林大学学报(工学版), 2016, 46(4): 1149-1155.

LIAO Jing-ping, ZHANG Jian-fu, YU Ding-wen, FENG Ping-fa. Modeling method of bolted joint interface based on gradient virtual materials[J]. 吉林大学学报(工学版), 2016, 46(4): 1149-1155.

参考文献

[1] Marshall M B, Zainal I, Lewis R. Influence of the interfacial pressure distribution on loosening of bolted joints[J]. Strain, 2011,47(2): 65-78.
[2] Wang Lei, Liu Hai-tao, Zhang Jun, et al. Analysis and modeling for flexible joint interfaces under micro and macro scale[J]. Precision Engineering, 2013,37(4): 817-824.
[3] 蔡力钢,郝宇,郭铁能,等. 螺栓结合面法向静态刚度特性提取方法研究[J]. 振动与冲击,2014,33(16):18-23.
Cai Li-gang, Hao Yu, Guo Tie-neng, et al. Method of extracting normal static stiffness of bolted joint interfaces[J]. Journal of Vibration and Shock, 2014,33(16):18-23.
[4] 蔡力钢,王锋,李玲,等. 栓接结合部动态特性研究进展[J]. 机械工程学报,2013,49(9):158-168.
Cai Li-gang, Wang Feng, Li Ling, et al. Review on dynamic properties of bolted joints[J]. Journal of Mechanical Engineering, 2013,49(9):158-168.
[5] Pau M, Baldi A, Leban B. Visualization of contact areas in bolted joints using ultrasonic waves[J]. Experimental Techniques, 2008,32(4): 49-53.
[6] Mantelli M, Milanez F H, Pereira E, et al. Statistical model for pressure distribution of bolted joints[J]. Journal of Thermophysics and Heat Transfer, 2010,24(2): 432-437.
[7] Stephen J T, Marshall M B, Lewis R. An investigation into contact pressure distribution in bolted joints[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science,2014,228(18): 3405-3418.
[8] Kim J, Yoon J C, Kang B S. Finite element analysis and modeling of structure with bolted joints[J]. Applied Mathematical Modeling, 2007,31(5): 895-911.
[9] 田红亮,刘芙蓉,方子帆,等. 引入各向同性虚拟材料的固定结合部模型[J]. 振动工程学报,2013,26(4):561-573.
Tian Hong-liang, Liu Fu-rong, Fang Zi-fan, et al. Immovable joint surface's model using isotropic virtual material[J]. Journal of Vibration Engineering, 2013,26(4):561-573.
[10] Tian Hong-liang, Li Bin, Liu Hong-qi, et al. A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools[J]. International Journal of Machine Tools and Manufacture, 2011,51(3): 239-249.
[11] 石坤,宋俐,师俊平. 机械结合部等效材料参数建立与试验[J]. 农业机械学报,2014,45(2):297-301.
Shi Kun, Song Li, Shi Jun-ping. Establishment and experiment of mechanical joint equivalent material properties[J]. Transactions of the Chinese Society for Agricultural Machinery, 2014,45(2): 297-301.
[12] 王磊,杜瑞,金涛,等. 螺钉连接固定结合面匹配设计研究[J]. 西安交通大学学报,2013,47(7):62-67.
Wang Lei, Du Rui, Jin Tao, et al. Matching design for bolted joints based by effective contact radius maximization[J]. Journal of Xi'an Jiaotong University, 2013, 47(7): 62-67.
[13] Marshall M B, Lewis R, Dwyer-Joyce R S. Characterisation of contact pressure distribution in bolted joints[J]. Strain, 2006,42(1): 31-43.
[14] 王书亭,李杰,刘涛,等. 机械固定结合面刚度特性建模[J]. 华中科技大学学报:自然科学版,2011,39(8):1-5.
Wang Shu-ting, Li Jie, Liu Tao, et al. Interfacial stiffness characteristic modeling of mechanical fixed joints[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2011,39(8):1-5.
[15] 张学良. 机械结合面动态特性及应用[M]. 北京:中国科学技术出版社,2002.

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基于虚拟梯度材料的螺栓结合面建模方法

Modeling method of bolted joint interface based on gradient virtual materials

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