含螺栓联接的转子系统轴向刚度不确定性分析

转子系统中螺栓联接结构轴向联接刚度的不确定性对转子系统动力学特性具有重要影响，为此，在构建螺栓联接结构有限单元基础上，建立了转子系统整体有限元模型，采用非嵌入多项式混沌展开法分析轴向联接刚度不确定性对转子系统动力学特性的影响.结果表明:轴向联接刚度在一定范围内变化会导致临界转速及临界转速对应的稳态响应幅值偏离预期，随着轴向刚度不确定性的标准差增大，盘竖直方向稳态响应均值降低.研究结果可为螺栓联接转子的设计提供理论参考.

Analysis of Bolted Joint Rotor System with Uncertain Axial Stiffness

The stiffness uncertainty of bolted joint structure plays an important role in dynamic characteristics of the rotor system. The influences of the uncertainty of the axial stiffness on the vibration behaviors of the bolted joint rotor system are studied. Firstly， the motion equations of the bolted joint rotor system are established based on the finite element method， and then the stochastic dynamic model with uncertainty of axial stiffness of bolted joint structure is obtained by the nonintrusive polynomial expansion method. Finally， the dynamic characteristics is illustrated. The results show that the axial stiffness uncertainty will affect the critical speed and the steady response amplitude of the rotor system. The response amplitude of the disk in the vertical direction decreases as the increasing of axial stiffness uncertainty. The results can provide a theoretical reference for the design of the bolted joint rotor system.