基于约束方程的十字万向轴扭转振动计算模型

A Calculation Model of Torsional Vibration of Cardan Shaft based on Constraint Equation

万向轴传动由于附加力矩会对传动系统产生强迫振动,为了避开传动系统扭转共振,需要对万向轴传动系统进行计算分析,合理选取结构参数。利用约束方程表示万向铰传动特点,并用有限单元法建立双万向轴扭转振动动力学模型,通过数值仿真得到万向轴传动系统扭转振动数值解。计算结果表明:模型能够计算万向轴附加力矩引起的强迫振动,可用于万向轴传动系统扭转振动分析。

A torsional vibration dynamic model of double-cardan shaft is established with tools of constraint equation and finite element method.Numerical simulation shows that angular accelerations of the model are identical with calculation results,verifying the correctness of double-cardan shaft.The fluctuation of mid-shaft due to corner angle of cardan and high frequencies of torsional vibration are considered in this model and it is suited for torsional vibration analysis of cardan shaft drive system.