ON THE MECHANISMS OF INSTABILITY OF A CIRCULAR PLATE UNDER A ROTATING SPRING MASS DASHPOT SYSTEM

被引:49
作者
SHEN, IY
MOTE, CD
机构
[1] Department of Mechanical Engineering, University of California, Berkeley
关键词
D O I
10.1016/0022-460X(91)90578-8
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The response of a stationary, undamped, asymmetric, classical, circular plate subjected to a rotating spring-mass-dashpot system is formulated in a co-ordinate system fixed to the plate. Use of an eigenfunction expansion reduces the equation of motion to a set of coupled Hill's equations. Techniques for analytical solution of the Hill's equations are illustrated on axisymmetric plates. It is found that a spring rotating at supercritical speed will parametrically excite the plate to single mode and combination resonances. A rotating mass will destabilize the plate above a speed greater than the critical speed at which the inertia force of the rotating mass exceeds the elastic restoring force of the plate. A viscous dashpot destabilizes the plate when it rotates at supercritical speed by negatively damping the backward-travelling wave components of the plate eigenmodes. © 1991.
引用
收藏
页码:307 / 318
页数:12
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