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齿轮时变系统对扭矩激励的响应
引用本文:张锁怀,沈允文,董海军,刘梦军.齿轮时变系统对扭矩激励的响应[J].航空动力学报,2003,18(6):737-743.
作者姓名:张锁怀  沈允文  董海军  刘梦军
作者单位:1. 陕西科技大学,机电学院,陕西,咸阳,712081
2. 西北工业大学,机电学院,陕西,西安,710072
基金项目:国家自然科学基金资助项目(50075070),陕西省教育厅基金资助项目(01JK164)
摘    要:在考虑齿轮时变啮合刚度、啮合阻尼和输入、输出扭矩波动的情况下,建立了具有周期性时变系数的齿轮系统线性动力学方程,用A算符方法(AOM)求出了该动力学系统的近似解析解。根据计算结果,A算符方法(AOM)克服了谐波平衡法的缺点,能够得到系统响应的所有频率成分,计算精度更高;与数值法相比,可取较大步长,省时间,效率高;系统受到内部或外部激励时,响应中含有同频、倍频、差频及和频成分。

关 键 词:航空、航天推进系统  A算符方法(AOM)  齿轮系统  时变啮合刚度  扭矩波动
文章编号:1000-8055(2003)06-0737-07
收稿时间:2003/1/10 0:00:00
修稿时间:2003年1月10日

Response of a Gear System with Time-Varying Mesh Stiffness to Torque Fluctuation
ZHANG Suo-huai,SHEN Yun-wen,DONG Hai-jun and LIU Meng-jun.Response of a Gear System with Time-Varying Mesh Stiffness to Torque Fluctuation[J].Journal of Aerospace Power,2003,18(6):737-743.
Authors:ZHANG Suo-huai  SHEN Yun-wen  DONG Hai-jun and LIU Meng-jun
Institution:ZHANG Suo-huai~1,SHEN Yun-wen~2,DONG Hai-jun~2,LIU Meng-jun~2
Abstract:The governing equation of a gear system is established.In the equation,the time-varying mesh stiffness,mesh damping,input and output torque fluctuations are considered.Due to the mesh stiffness of a gear pair,the governing equation represents a linear dynamic system with periodic time-varying coefficient.A-operator method (AOM) is used to obtain the approximate analytic solution.According to the results,A-operator method (AOM) overcomes the defaults of harmonic balance method and can keep all frequency components.In the response of the system,fundamental,double and composed frequency etc of time-varying mesh stiffness and torque fluctuation frequency coexist.A-operator method (AOM) takes less time than other numerical method.
Keywords:aerospace propulsion system  A-operator method (AOM)  gear system  time-varying mesh stiffness  torque fluctuation
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