摘要
以开闭裂纹模型为基础 ,考虑了轴主刚度与耦合刚度的影响 ,建立了含裂纹转子的非线性运动微分方程。采用 Newmark- β法对方程进行数值计算 ,分析了转速比、裂纹大小和不平衡量等因素对裂纹转子系统响应的影响。针对裂纹转子非线性响应的特点 ,从有利于故障诊断的角度出发 ,提出了周期采样峰 -峰值 ( PSP)图 ,为提取响应的周期、拟周期和混沌运动的特征量提供了一种新方法。结果表明 ,随着参数变化 ,响应中存在拟周期、混沌运动和分岔现象 ;当不平衡量较大时 ,系统在
This paper investigated the nonlinear response of a cracked rotor and its bifurcation. Based on the fracture mechanics, a crack model is constructed. Considering the opening and closing of crack, the direct and cross stiffness of shaft vary with rotation. The nonlinear motion equations for the cracked rotor were derived. To solve the equations, Newmark-β integration method was employed. The influences of rotation speed, crack depth and unbalance on a cracked rotor's nonlinear dynamics response were investigated. Period sampling of peak-to-peak (PSP) value diagram, is used to distinguish some nonlinear and linear response based on the fault diagnosis theory. Simulation results show that the PSP diagram is useful in reflecting the amplitude of the quasi-period and chaos response. In the response, there exists quasi-period motion near the 8/3 critical speeds when unbalance is large, which can be used to detect the crack. Sometimes quasi-period motion will lose its stability and go to chaos directly.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
2004年第5期600-603,共4页
Journal of Northwestern Polytechnical University
基金
国家自然科学基金 (10 372 0 79)
航空科学基金 (0 3C5 30 16 )资助
关键词
裂纹转子
分岔
非线性响应
周期采样峰-峰值图
Bifurcation (mathematics)
Cracks
Dynamic response
Equations of motion
Fracture mechanics
Models
Rotation
Shafts (machine components)
Stability
Stiffness
