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含初始弯曲裂纹转子的振动分析
引用本文:邹剑,董广明,陈进.含初始弯曲裂纹转子的振动分析[J].振动与冲击,2012,31(3):153-156.
作者姓名:邹剑  董广明  陈进
作者单位:1. 青岛农业大学 机电工程学院,青岛 266109; 2. 上海交通大学 机械系统与振动国家重点实验室,上海 200240
基金项目:国家自然科学基金,山东省高等学校科技计划,青岛市公共领域科技支撑计划
摘    要:基于简单铰链裂纹模型,建立了含初始弯曲裂纹转子的无量纲动力学模型,可适用于稳态、瞬态、非线性等不同运动状态下、不同系统参数情形下裂纹转子的振动分析。经解析求解对比了含初始弯曲裂纹转子与无初始弯曲裂纹转子谐波频率成分的差异,计算得到了裂纹激励与初始弯曲激励的参与因子,研究了系统的亚临界共振特性。采用Floquet理论分析了含初始弯曲裂纹转子的稳定性,讨论了不同的刚度变化、阻尼比对系统稳定性的影响,可为裂纹转子识别提供依据

关 键 词:初始弯曲    裂纹转子    亚临界共振    稳定性  
收稿时间:2010-1-5
修稿时间:2011-5-27

Vibration analysis of cracked rotor with initial deflection
ZOU Jian , DONG Guang-ming , CHEN Jin.Vibration analysis of cracked rotor with initial deflection[J].Journal of Vibration and Shock,2012,31(3):153-156.
Authors:ZOU Jian  DONG Guang-ming  CHEN Jin
Affiliation:1.School of Mechanical Engineering, Qingdao Agricultural University, Qingdao 266109; 2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai 200240
Abstract:Based on the simple hinge crack model,the dynamic equation of a cracked rotor with initial deflection was modelled in dimensionless form,which can be applied to the nonlinear vibration analysis of cracked rotor with different parameters in stationary or transient state.By the aid of analytical solution,the frequency components of the cracked rotor with initial deflection were compared with those without initial deflection.The participation factors of the crack and the initial deflection were obtained,and the subcritical resonance was discussed.The stability of the cracked rotor with initial deflection was investigated using Floquet theorem,and the influence of different stiffness variation and damping ratio on stability was analyzed,which can provide a basis for identification of cracked rotor.
Keywords:initial deflection  cracked rotor  subcritical resonance  stability
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