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工程设计学报
工程设计学报  2017, Vol. 24 Issue (2): 182-186    DOI: 10.3785/j.issn.1006-754X.2017.02.009
设计理论与方法学     
单、双径向轴承安装时三叉式万向联轴器的附加弯矩分析
李松梅, 李帅帅, 常德功
青岛科技大学 机电工程学院, 山东 青岛 266061
Additional bending moment analysis of the trigeminal universal joint installed by single or twin radial bearing
LI Song-mei, LI Shuai-shuai, CHANG De-gong
College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, China
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摘要：

为找出三叉式万向联轴器在安装和使用过程中出现振动、噪声的原因，分析采用单、双径向轴承安装三叉式万向联轴器输出轴时联轴器附加弯矩随输入轴转角及偏转角的分布规律。首先建立2种安装方式下联轴器的运动简图，应用空间机构坐标变换技术建立输入轴与输出轴的关系方程，推导出系统存在偏转角时输出轴的运动方程，表明输出轴采用单径向轴承安装时三叉式万向联轴器为准等角速传动，采用双径向轴承安装时其具有等角速传动特性。其次分析这2种安装方式下作用在输入轴和输出轴上的附加弯矩分量，根据虚位移原理确定三叉式万向联轴器输出轴在2种安装方式下系统均出现附加弯矩。通过分析发现：采用单径向轴承安装时，存在偏转弯矩，且一个运动周期内附加弯矩的波动频率是输入轴的3倍，呈正弦曲线变化，且附加弯矩的变化趋势为随偏转角的增大呈直线上升；双径向轴承安装时，偏转弯矩为零，附加弯矩随偏转角的增大而逐渐增大，未出现波动。结果表明：2种安装方式下三叉式万向联轴器上均产生附加弯矩，从而使系统产生振动效应。该结果对研究系统产生振动的原因、确定系统非线性动力学行为具有重要的意义。
关键词： 三叉式万向联轴器;  单、双径向轴承;  偏转弯矩;  附加弯矩    
Abstract:

To find out the causes of vibration and noise of the trigeminal universal joint which appeared in the installation and use process, the additional moment distribution with the varies of the input shaft angular and the deflection angle was analyzed. Kinematics diagrams of the trigeminal universal joint when the output shaft installed by single radial bearing or twin radial bearing were established. The system coordinates were established under the two installation ways, and the motion equations were established by the direction cosine matrix tools. It indicated that the trigeminal universal joint installed by the single radial bearing was an approximately isometric speed transmission, and was a constant velocity transmission with twin radial bearing installed. Furthermore, the additional moment component on the input shaft and the output shaft was analyzed under the two installation ways. According to the virtual displacement principle, the additional moment on the tripod universal joint when the output shaft installed by twin radial bearing and single radial bearing were determined. When installed by single radial bearing, the deflection moment exists and the vibration frequency of additional moment was three times of the input shaft as a sine curve. The variation trend of the additional moment was straight up with the increase of deflection angle. When installed by twin radial bearing, the deflection moment was zero and the additional moment increased gradually with the increase of deflection angle but did not fluctuate. The analysis revealed that additional moment existed in the trigeminal universal joint system under both installation ways would produce bending vibration. This study is of great significance to study the causes of vibration and determine the nonlinear dynamics of the system.
Key words: trigeminal universal joint    single &    twin radial bearing    deflection moment    additional bending moment
收稿日期: 2016-05-16 出版日期: 2017-04-28
CLC:  TH112  
基金资助:

国家自然科学基金资助项目（50975147）；山东省科技发展计划项目（2013GGX10305）；山东省自然科学基金资助项目（ZR2015EM037，ZR2016EEP12）
作者简介: 李松梅(1986-),女,山东青岛人,讲师,博士,从事机器人机构学、机械设计、机械传动、计算机辅助设计等研究,E-mail:Lisongmei1126@163.com,http://orcid.org//0000-0002-9804-2625
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引用本文:

李松梅, 李帅帅, 常德功. 单、双径向轴承安装时三叉式万向联轴器的附加弯矩分析[J]. 工程设计学报, 2017, 24(2): 182-186.

LI Song-mei, LI Shuai-shuai, CHANG De-gong. Additional bending moment analysis of the trigeminal universal joint installed by single or twin radial bearing[J]. Chinese Journal of Engineering Design, 2017, 24(2): 182-186.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn.1006-754X.2017.02.009    或    https://www.zjujournals.com/gcsjxb/CN/Y2017/V24/I2/182

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