大位移Timoshenko转轴三维耦合动力学分析

基金项目: 上海市教委发展基金资助项目(98AJ01);教育部固体力学重点实验室基金资助项目

Dynamic Analysis of a Spatial Coupled Timoshenko Rotating Shaft With Large Displacements

摘要: 对于高速柔性转轴,综合考虑滑移、弯曲、剪切变形、旋转惯性、陀螺效应和动不平衡等因素,运用Timoshenko旋转梁理论,给出弹性体空间运动的一般性描述,通过Hamilton原理建立弯曲-扭转-轴向三维耦合非线性动力学方程,应用参数摄动方法和假设振型方法进行化简,并用数值模拟分析了轴向刚性滑移、剪切变形、截面尺寸和转速等因素对转轴动力学响应的影响。
- Timoshenko转轴 /
- 动力学响应 /
- 非线性模型 /
- 耦合振动
Abstract: The dynamic simulation is presented for an axial moving flexible rotating shafts, which have large rigid motions and small elastic deformation. The effects of the axial inertia, shear deformation,rotating inertia, gyroscopic moment, and dynamic unbalance are considered based on the Timoshenko rotating shaft theory. The equations of motion and boundary conditions are derived by Hamilton principle, and the solution is obtained by using the perturbation approach and assuming mode method. This study confirms that the influence of the axial rigid motion, shear deformation, slenderness ratio and rotating speed on the dynamic behavior of Timoshenko rotating shaft is evident, especially to a high-angular velocity rotor.
- Timoshenko rating shaft /
- dynamic response /
- nonlinear model /
- coupled vibration

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