航空发动机双转子系统的随机激励响应分析
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摘要
针对航空发动机双转子系统受到一些无法预测的激励产生随机振动的现象,建立了不平衡双转子系统在随机激励作用下的运动方程。运用虚拟激励法,计算双转子系统在随机力下的位移响应功率谱密度,对其结构动力特性进行了研究。研究表明,当中介轴承刚度系数增大时,系统的固有频率增大并趋于定值。此时,外随机力引起的位移响应谱密度峰值减小并趋于无穷小值,而系统耦合作用引起的位移响应谱密度峰值先上升后减小,并在某个刚度值后,趋于无穷小值。根据研究结果提出了一些预防航空发动机双转子随机振动危害的措施。
Aero-engine dual-rotor system is subject to unpredictable excitation,resulting in the random vibration.In order to study this phenomenon,the motion equation of the unbalanced dual-rotor system subjected to random excitation is established.Using pseudo-excitation method,the power spectral density(PSD) of displacement of the dual-rotor system subjected to random excitation is calculated,and the dynamic characteristics of the structure are studied.The researches show that with the increasing of the stiffness coefficient of the intershaft bearing,the natural frequency of the system increases and tend to a constant value.At the same time,the peak of the PSD of displacement caused by external random force decreases and tends to an infinitesimal,while the peak of the PSD of displacement caused by the system coupling effect increases to a peak,then decreases and tends to an infinitesimal after a certain stiffness.From the research,some measures are made for protecting dual-rotor aircraft engines from random vibration.
Aero-engine dual-rotor system is subject to unpredictable excitation,resulting in the random vibration.In order to study this phenomenon,the motion equation of the unbalanced dual-rotor system subjected to random excitation is established.Using pseudo-excitation method,the power spectral density(PSD) of displacement of the dual-rotor system subjected to random excitation is calculated,and the dynamic characteristics of the structure are studied.The researches show that with the increasing of the stiffness coefficient of the intershaft bearing,the natural frequency of the system increases and tend to a constant value.At the same time,the peak of the PSD of displacement caused by external random force decreases and tends to an infinitesimal,while the peak of the PSD of displacement caused by the system coupling effect increases to a peak,then decreases and tends to an infinitesimal after a certain stiffness.From the research,some measures are made for protecting dual-rotor aircraft engines from random vibration.
引文
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[6]Klauke T,Kühhorn A,Beirow B,et al.Numerical Inves-tigations of Localized Vibrations of Mistuned Blade Inte-grated Disks(Blisks)[J].Journal of Turbomachinery,2009,131(3):1-11.
[7]赵岩,林家浩,曹建华.转子系统的平稳/非平稳随机地震响应分析[J].计算力学学报,2002,19(1):7-11.
[8]祝长生,陈拥军,朱位秋.不平衡线性转子—轴承系统的非平稳地震激励响应分析[J].计算力学学报,2006,23(3):285-289.
[9]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.
[10]张锦,刘晓平.叶轮机振动模态分析理论及数值方法[M].北京:国防工业出版社,2001.
[2]祝长生,陈拥军.机动飞行时航空发动机转子系统的振动特性[J].航空学报,2006,27(5):835-841.
[3]张陈安,叶正寅,刘锋,等.进口导流叶片对转子叶片颤振特性的影响[J].推进技术,2010,31(3):335-339.(ZHANG Chen-an,YE Zheng-yin,LIU Feng,et al.Inves-tigations on Flutter Characteristics of Rotor Blade withIGV/Fan Interactions[J].Journal of Propulsion Technolo-gy,2010,31(3):335-339.)
[4]Groves K H,Bonello P.Improved Identification ofSqueeze-Film Damper Models for Aeroengine Vibration A-nalysis[J].Tribology International,2010,43(9):1639-1649.
[5]韩宝财,唐六丁,邓四二,等.多频耦合的航空发动机转子系统动力特性分析[J].振动与冲击,2008,27(8):25-28.
[6]Klauke T,Kühhorn A,Beirow B,et al.Numerical Inves-tigations of Localized Vibrations of Mistuned Blade Inte-grated Disks(Blisks)[J].Journal of Turbomachinery,2009,131(3):1-11.
[7]赵岩,林家浩,曹建华.转子系统的平稳/非平稳随机地震响应分析[J].计算力学学报,2002,19(1):7-11.
[8]祝长生,陈拥军,朱位秋.不平衡线性转子—轴承系统的非平稳地震激励响应分析[J].计算力学学报,2006,23(3):285-289.
[9]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.
[10]张锦,刘晓平.叶轮机振动模态分析理论及数值方法[M].北京:国防工业出版社,2001.
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