非线性刚度转子系统主共振解析分析

Theoretical Analysis of Characteristics on Main Resonance of a Rotating System with Nonlinear Stiffness

研究具有非线性刚度转子系统的主共振特性。用平均法求得非线性转子系统的平均方程、频率响应方程和主共振频率响应曲线,得到该转子系统幅频曲线的拐弯、跳跃和滞后现象,并给出系统的稳定性特征方程,为分析非线性转子系统运动特性提供理论依据。

Main resonance characteristics of a rotating system with nonlinear stiffness was studied. By applying the averaged method we obtained the averaged equation, frequency--response equation and main resonance frequency--response curves. The stable equation of the system was also derived. We can observe the phenomenon of rounding, bouncing and lagging of frequency--response curves. This paper provides a theoretical basis for analyzing the dynamical characteristics of the nonlinear rotating system.