自润滑关节轴承衬垫弹性参数的计算

doi:10.13475/j.fzxb.20190702408

纺织学报 ›› 2020, Vol. 41 ›› Issue (06): 61-68.doi: 10.13475/j.fzxb.20190702408

自润滑关节轴承衬垫弹性参数的计算

汪久根¹(), 郭昊¹, 洪玉芳¹, 陈芳华²

1.浙江大学机械工程学院, 浙江杭州 310027
2.浙江省机电产品质量检测所, 浙江杭州 310051

收稿日期:2019-07-04 修回日期:2019-12-04 出版日期:2020-06-15 发布日期:2020-06-28
作者简介:汪久根(1962—),男,教授,博士。主要研究方向为摩擦学、仿生机械学、机械设计信息学。E-mail:me_jg@zju.edu.cn
基金资助:
国家自然科学基金项目(51375436);浙江省重大科技专项子课题资助项目(2016C01G5130970)

Elastic parameters calculation of liners of self-lubricating spherical plain bearings

WANG Jiugen¹(), GUO Hao¹, HONG Yufang¹, CHEN Fanghua²

1. Faculty of Mechanical Engineering, Zhejiang University, Hangzhou, Zhejiang 310027, China
2. Zhejiang Testing & Inspection Institute for Mechanical and Electrical Products Quality,Hangzhou, Zhejiang 310051, China;

Received:2019-07-04 Revised:2019-12-04 Online:2020-06-15 Published:2020-06-28

摘要/Abstract

摘要：

为准确预测自润滑关节轴承衬垫的弹性参数,结合衬垫的压紧预处理过程,建立了修正的衬垫特征体元(RVE)细观几何模型。结合桥联理论建立了相应的轴承衬垫弹性性能分析模型。用解析法分别计算了平纹、斜纹、五枚二飞缎纹3种衬垫的弹性参数。通过与其他实验数据比较得知,平纹衬垫、斜纹衬垫、五枚二飞缎纹衬垫弹性参数计算值与实验值最大相对误差分别为4.76%、5.47%、4.39%。对用于计算不同纤维束弹性常数时,若纤维束中纤维和基体沿轴线方向弹性模量比值较大,则桥联参数α取值比β小,所得结果较为准确。若实验条件允许,可通过对纤维束进行简单拉压剪切实验确定α、β值。

关键词: 织物衬垫, 弹性参数, 细观建模, 桥联模型, 数值计算, 自润滑关节轴承

Abstract:

In order to accurately predict mechanical parameters of self-lubricating spherical plain bearings, the representative volume element mesoscopic geometric model had been modified considering compaction of liner preform. Elastic performance analysis model combined with bridging model had been established. The elastic properties of plain, twill and satin liners were calculated with the analytical method. Compared with experimental data carried by other researchers, the maximum relative errors between theoretical and experimental values are 4.76%, 5.47% and 4.39% respectively. For the bridging parameters used to calculate the elastic constants of different fiber bundles, if the ratio of the elastic modulus of the fibers and the matrix in the axial direction of the fiber bundle is large, using α smaller than β could obtain more accurate results. Values of α and β can be determined by simple tensile and shear tests of the fiber bundles if experimental conditions are adequate.

Key words: fabric liner, elastic parameter, mesoscopic model, bridging model, numerical calculation, self-lubricating spherical plain bearings

中图分类号:

TB3322

汪久根, 郭昊, 洪玉芳, 陈芳华. 自润滑关节轴承衬垫弹性参数的计算[J]. 纺织学报, 2020, 41(06): 61-68.

WANG Jiugen, GUO Hao, HONG Yufang, CHEN Fanghua. Elastic parameters calculation of liners of self-lubricating spherical plain bearings[J]. Journal of Textile Research, 2020, 41(06): 61-68.

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弹性常数	PTFE	芳纶	酚醛树脂
E₁₁	0.75	6.70	2.88
E₂₂	0.75	6.70	2.88
G₁₂	0.28	2.69	1.01
G₂₃	0.28	2.69	1.01
u₁₂	0.30	0.23	0.42

弹性参数	计算值/GPa	实验值/GPa	相对误差/%
E₁₁	1.97	1.98	0.51
E₂₂	1.97	1.98	0.51
G₁₂	0.66	0.63	4.76

类型	宽度/mm	厚度/mm	间隙/mm	纱线填充系数	RVE厚度/mm
PTFE	2.120	0.250	0.029 3	0.700	0.405
芳纶	2.120	0.150	0.029 3	0.700	0.405

类型	E₁₁	E₂₂	G₁₂	G₂₃	u₁₂
PTFE	3.20	3.20	1.23	1.23	0.35
芳纶	133.00	133.00	49.20	49.20	0.35
酚醛树脂	2.88	2.88	1.01	1.01	0.42

弹性参数	计算值/GPa	实验值/GPa	相对误差/%
E₁₁	29.13	29.90	2.58
E₂₂	8.98	9.50	5.47

自润滑关节轴承衬垫弹性参数的计算

Elastic parameters calculation of liners of self-lubricating spherical plain bearings

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弹性参数	计算值/GPa	实验值/GPa	相对误差/%
E₁₁	3.09	2.96	4.39
E₂₂	3.23	3.23	<0.01
G₁₂	1.11	1.09	1.83