Kinematic and Static Analyses of Tripod and Rzeppa Constant Velocity Joints and Investigations of Three Dimensional Motion of Its Drive Shaft

Tripod和Rzeppa等速万向节的运动、静态分析及其传动轴的三维运动研究

• 批准号: 14550118
• 负责人: WATANABE Katsumi
• 金额: $ 2.18万
• 依托单位: Yamagata University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2002
• 资助国家: 日本
• 起止时间: 2002 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14550118/
• 关键词: Constant Velocity Joint; Rzeppa Joint; Tripod Joint; Universal Joint; Kinematic Analysis; Static Analysis; Transmission Error; Housing Trust Force; トリポード継手; 軸交差角可変等速継手

CVJ lines of front drive automobiles are composed of the tripod constant velocity joint (CVJ) or the double offset CVJ, the Rzeppa CVJ and the drive shaft. The rotational angle error of the CVJ line and the whirling motion of the drive shaft (the tripod shaft) and its fluctuation of axial direction are analyzed experimentally. From results of experiments with several values of the angle α between the housing shaft of the tripod CVJ and the drive shaft and the angle β between the outer-race shaft of the Rzeppa CVJ and the drive shaft., characteristics of the rotational angle error and the three dimensional motion (the whirling motion and the fluctuation of axial direction) are made clear. The rotational angle error is sinusoidal of 2π/6 period. The whirling motion has the period of 2π or 2π/6 according to the angle β.The closed loop equations of three cylindrical rollers, the spider of three spherical ends and the housing of the tripod constant velocity joints are deduced as the spatial mechanism. A procedure is established for solving simultaneously the set of conditional equations with respect to forces and moments acting on three cylindrical rollers, the spider and the housing, for any values of friction coefficients between cylindrical rollers and its grooves and spherical ends. Then, static characteristics of the tripod constant velocity joints are made clear.

前轮驱动汽车的等速万向节（CVJ）系列由三球销等速万向节（CVJ）或双偏心距等速万向节、Rzeppa等速万向节和驱动轴组成。对等速万向节传动线的转角误差、传动轴（三角轴）的涡动及其轴向波动进行了实验分析。根据三脚架CVJ的外壳轴与驱动轴之间的角度α以及Rzeppa CVJ的外座圈轴与驱动轴之间的角度β的几个值的实验结果，明确了回转角误差和三维运动（回转运动和轴向波动）的特性。转角误差为2π/6周期的正弦曲线。根据角度β的不同，旋转运动的周期为2π或2π/6。推导出三个圆柱滚子、三个球形端的十字架和三角架等速万向节壳体作为空间机构的闭环方程。建立了一个程序，用于同时求解的条件方程组的力和力矩作用在三个圆柱滚子，支架和住房，圆柱滚子和它的凹槽和球形端之间的摩擦系数的任何值。在此基础上，分析了三叉杆式等速万向节的静态特性。

项目成果

渡辺克巳: "Kinematic and Static Analyses of Tripod Constant Velocity Joints of Spherical End Spider Type"Proc.of the 11th World Congress in Mechanism and Machine Science (Tianjin, China). Vol.3. 1185-1189 (2004)

Katsumi Watanabe：“球端蜘蛛型三脚架等速万向节的运动学和静态分析”，第十一届世界机械与机器科学大会论文集（中国天津），第 3 卷（2004 年）。

渡辺克巳: "直進対偶駆動形3自由度空間パラレルメカニズムの運動解析"旦本機械学会論文集(C編). 69・677. 242-249 (2003)

Katsumi Watanabe：“线性副驱动型3自由度空间并联机构的运动分析”日本机械工程学会会刊（编辑C）242-249（2003年）。

N.Nango: "Static Analysis of Spatial 7R Link Constant Velocity Joints of Extended Shaft Angle"Proc. of 2002 ASME D.E.T.C. & C.I.E.C. MECH. 34338. 1-10 (2002)

N.Nango：“延长轴角的空间7R连杆等速关节的静态分析”Proc。

南後 淳: "Static Analysis of Spatial 7R Link Constant Velocity Joints of Extended Shaft Angle"Proc. of 2002 ASME D.E.T.C. & C.I.E.C.. MECH,34338. 1-10 (2002)

Jun Nango：“延长轴角度的空间 7R 连杆等速接头的静态分析”Proc. 2002 ASME D.E.T.C. & C.I.E.C. MECH，34338 (2002)

南後 淳: "Static Analysis of Spatial 7R Link Constant Velocity Joints of Extended"Proc.of 2002 ASME D.E.T.C.& C.I.E.C.. MECH, 34338. 1-10 (2002)

Jun Nango：“扩展空间7R连杆等速接头的静态分析”Proc.of 2002 ASME D.E.T.C.& C.I.E.C.. MECH, 34338. 1-10 (2002)