摘要
建立三叉杆滑块式万向联轴器机构输出轴采用双径向轴承安装时的系统坐标系,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,推导出当输入输出轴存在偏转角运动时输出轴的运动方程。通过数值分析法绘制第一个滑块沿三叉杆方向及沿导向槽方向的相对运动关系曲线,并将实体模型导入ADAMS中进行运动仿真验证。结果表明,安装双径向轴承时联轴器机构具有等角速传动特性,输出轴的运动轨迹为圆柱运动且其旋转半径只与输入、输出轴两轴线的偏转角和导向槽中心线至输入轴中心线的距离有关;在一个旋转周期中滑块对三叉杆的相对位移、相对速度和相对加速度均相似于正弦曲线且沿三叉杆做两倍频于输入轴的往复运动;滑块对导向槽的往复运动与输入轴同频率,其相对位移、相对速度均类似于正弦曲线,但相对加速度曲线明显偏离标准的正弦曲线;运动仿真实例验证了理论分析中建立数学模型和数值分析的正确性。
Output shaft coordinate system of the trigeminal sliding universal joint mechanism installed twin radial bearings is established,and the relationship equations of input shaft and output shaft are established by using coordinate transformation method,to derive the motion equations of output shaft when the movement of input and output shaft existing deflection angle.The relative motive versus of the first slider along the trigeminal arm and the guide groove are obtained by the numerical analysis.The simulation model is imported into ADAMS to compare with the theoretical analysis.The results show that the mechanism has a characteristic of constant velocity transmission and the output movement trajectory is a cylindrical which its radius angle only relevant with the input deflection angle and the distance between the slot-oriented center line and the input shaft axis.The relative displacement,relative velocity and relative acceleration curves of the first slider along the trigeminal arm are similar to a sine curve and do reciprocating motion for two multiple to the input shaft in a rotation period.The reciprocating of the slider along the guide groove is the same frequency with the input shaft,and the relative displacement,relative velocity curves are similar to a sine curve but the relative acceleration curve deviates significantly from the standard sine curve.The motion simulation shows the correctness of the mathematical model and numerical analysis in theory.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2015年第13期218-226,共9页
Journal of Mechanical Engineering
基金
国家自然科学基金(50975147)
山东省科技发展计划(2013GGX10305)资助项目
关键词
三叉杆滑块式万向联轴器
双径向轴承
运动分析
等角速传动
trigeminal sliding universal joint mechanism
twin radial bearings
kinematic analysis
constant velocity transmission
