非稳转速下梁在转动方向上的横振动

The Flexural Vibration of Rotating Beam in the Direction of Rotation with Unsteady Speed

本文考虑了梁的大挠度变形,并在此基础上分析了梁在非稳转速情况下在转动方向上的横振动,应用有限元素法得到了系统的动力学方程.该方程是时变系数,非线性,非齐次方程.本文给出了线性化的系统动力学方程的数值解法及算例.

This paper presents the analysis of the free flexural vibration of rotating beam in the rotary direction with unsteady speed on the basis of the theory of large flexibility.The dynamic equations of the system derived by the finite element method is nonhomogeneous, nonlinear and nonautonomous.The paper gives the numerical solution of the linearized equations of the system.