时变转速下裂纹圆柱壳的参数振动稳定性分析

Stability analysis of parametric resonance of a crack cylindrical shell with time-varying rotating speed

利用有限元方法建立周期时变转速影响下裂纹圆柱壳的有限元模型并且得到了系统的质量、刚度和阻尼矩阵.在对圆柱壳进行模态分析的基础上,利用Bolotin方法编制MATLAB程序进行周期时变转速影响下裂纹圆柱壳的参数振动稳定性分析,讨论裂纹长度C、模态阻尼比ξ、转速基值Ω0、静载荷因子α和动载荷因子β对不稳定区域的影响规律.

A crack cylindrical shell model with time-varying rotating speed was established using the finite element method and get the system quality stiffness and damping matrix.On the basis of modal analysis,Bolotin＇s method was applied to explore the dynamic instability region.Examples of stability charts were worked out and the dependence of stability on various parameters,including crack length C,modal damping ratio ξ,rotating speed basic value Ω_0,steady load factor α and dynamic load factor β was discussed.