弹性支承体与旋转叶片耦合系统的固有频率分析

Natural Frequency of Coupled Elastic Supporting Body-rotating Paddle System

应用多体系统动力学理论建立弹性支承体与旋转叶片耦合系统的动力学方程 ,在系统稳定运动状态下 ,对耦合系统的动力学方程进行线性化处理 ,然后计算其系统固有频率 ;

A numerical method for calculating natural fre quency of coupled elastic supporting body-rotating paddle system is proposed. T he equations of couple elastic supporting body-rotating paddled system are deri ved based on multibody theory. The equations of couple elastic supporting body- rotating paddle system in steady state of motion are linearized. Natural frequen cy analysis program was developed. This program can be used compute the natural frequency of the rotating paddle which was supported by rigid supporting body or flexible supporting body. Factors which affect intrinsic characteristics are di scussed. The examples show that the elastic deformation of supporting body affec ts the intrinsic characteristics of the systems, the elastic deformation of supp orting body affects low-order frequency more strongly than high-order frequenc y.