(1.长沙交通学院 机电工程系,长沙 410076;
2.中南大学 机电工程学院, 长沙 410083)
摘 要: 提出了一种复杂轴系扭振动力学建模的网络法,该方法将轴系各支路特性及节点和终端边界条件用规范的矩阵形式表示,通过简单的矩阵运算将网络各支路与边界条件耦合起来,并可求得剩余扭矩函数。针对剩余扭矩方程求解中出现的“增根”问题,提出了一种简便的技术途径。算例证明了该方法的实用性和准确性。
关键字: 传动系统;扭转振动;传递矩阵;网络
of complex shafting torsional
vibration system
(1.Department of Mechanical and Electrical Engineering,
Changsha Communications University,Changsha 410076,China;
2.College of Mechanical and Electrical Engineering,
Central South University,Changsha 410083,China)
Abstract:A network method for modeling of complex shafting torsional vibration system was established. The method deals with the characteristics of network an d boundary conditions in matrix form. By simple operation of matrices, all branches and boundary conditions are coupled,and the nonlinear torsional function c an be obtained. The natural frequencies can be calculated by solution of the equation. In order to avoid the “Augment of Root” of nonlinear equation, a simple technical method was proposed. It is proved that the methods proposed are practical and accurate.
Key words: transmission system; torsional vibration; transfer matrix; network