时变转速下裂纹圆柱壳的参数振动稳定性分析

辛健强; 王建军

时变转速下裂纹圆柱壳的参数振动稳定性分析

辛健强,
王建军^,

北京航空航天大学能源与动力工程学院,北京 100191

基金项目: 国家高技术研究发展计划(2008AA04Z403)

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出版历程
- 收稿日期: 2010-11-18
- 修回日期: 2011-02-28
- 刊出日期: 2011-10-28

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

XIN Jian-qiang,
WANG Jian-jun^,

School of Jet Propulsion, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

摘要: 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.
- 裂纹 /
- 圆柱壳 /
- 周期时变转速 /
- 模态特性 /
- 参数振动稳定性
Abstract: 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 Ω₀,steady load factor α and dynamic load factor β was discussed.
- crack /
- cylindrical shell /
- time-varying rotating speed /
- modal characteristic /
- parametric vibration stability

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