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时变转速下裂纹圆柱壳的参数振动稳定性分析
引用本文: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[J].航空动力学报,2011,26(10):2227-2236.
作者姓名:辛健强  王建军
作者单位: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)
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. 

关 键 词:裂纹    圆柱壳    周期时变转速    模态特性    参数振动稳定性
收稿时间:2010/11/18 0:00:00
修稿时间:2011/2/28 0:00:00

Stability analysis of parametric resonance of a crack cylindrical shell with time-varying rotating speed
XIN Jian-qiang and WANG Jian-jun.Stability analysis of parametric resonance of a crack cylindrical shell with time-varying rotating speed[J].Journal of Aerospace Power,2011,26(10):2227-2236.
Authors:XIN Jian-qiang and WANG Jian-jun
Institution:School of Jet Propulsion, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
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. 
Keywords:crack  cylindrical shell  time-varying rotating speed  modal characteristic  parametric vibration stability
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