Complex nonlinear dynamics analysis of thin spinning discs
In this paper we analyze the nonlinear transverse vibration of a rotating, flexible disc subjected to a rotating point force. Based on a small-stretch, moderate-rotation plate theory of Nowinski, which leads to Von Karman-type field equations, non-linear equations of motion are derived, which are coupled equations between the radial, tangential and transverse displacements. Following a Galerkin projection, the four-degree-of-freedom ordinary differential equations governing the weakly split resonant modes are derived The resonance case considered here is 1:1:2:2 internal resonance and principal parametric resonance. The multiple scale method is used to obtain eight-dimensional nonlinear averaged equations. It is concluded that the angular acceleration, and the imperfection have important influences on the dynamics of the spinning disc.
Xiao-li Yang Wei Zhang Li-hua Chen
College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
715-719
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）