不平衡线性转子-轴承系统的非平稳地震激励响应分析
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摘要
给出了受随机地震激励的线性转子-轴承系统动力响应的有效分析方法。应用虚拟激励法和数值积分法,采用Kanai-Tajimi地震模型,对一个四自由度非对称的刚性转子-轴承系统在地震激励和谐波激励联合作用下的位移响应、位移响应谱密度及响应时变方差进行了分析。讨论了不同转速对位移响应时变方差的影响和不同采样角频率对位移响应时变方差曲线的影响。
An effective analysis method for a linear rotor-bearing system subjected to random seismic excitation is presented in this paper.The pseudo excitation method and Runge-Kutta integration scheme are used in a numerical example.By means of Kanai-Tajimi seismic model,displacement response,the power spectral density of displacement response and time-dependent variance of rotor's displacement response under random seismic and harmonic excitations for a rotor-bearing system with four degrees of freedom are analysed.Influence of rotational speed on the time-dependent displacement response variance and influence of sampling frequency on the time-dependent displacement response variance curve are discussed.
An effective analysis method for a linear rotor-bearing system subjected to random seismic excitation is presented in this paper.The pseudo excitation method and Runge-Kutta integration scheme are used in a numerical example.By means of Kanai-Tajimi seismic model,displacement response,the power spectral density of displacement response and time-dependent variance of rotor's displacement response under random seismic and harmonic excitations for a rotor-bearing system with four degrees of freedom are analysed.Influence of rotational speed on the time-dependent displacement response variance and influence of sampling frequency on the time-dependent displacement response variance curve are discussed.
引文
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[6]TESSARZIK J M,CHIANG T,BADGLEY R H.The response of rotating machinery to external ran-dom vibration[J].Journal of Engineering for In-dustry,1974,96(2):477-489.
[7]BIJAN S,KI Bong Kim,YANG J N.Random vibra-tion of rotating machines under earthquake excita-tions[J].Journal of Engineering Mechanics,1986,112(6):550-565.
[8]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.(ZHAO Yan,LIN Jia-hao,CAO Jian-hua.Seis-mic analysis of rotor system under stationary/nonsta-tionary random earthquake excitations[J].ChineseJournal of Computational Mechanics,2002,19(1):7-11.(in Chinese))
[9]林家浩.随机地震响应的确定性算法[J].地震工程与工程振动,1985,5(1):39-49.(LIN Jia-hao.A cer-tain algorithm of random seismic response[J].Earthquake Engineering and Engineering Vibra-tion,1985,5(1):39-49.(in Chinese))
[2]SRINIVASAN V,SONI A H.Seismic analysis of arotor-bearing system[J].Earthquake Engineeringand Structural Dynamics,1984,12(2):287-311.
[3]SUAREZ L E,SINGH M P,ROHANIMANESH MS.Seismic response of rotating machines[J].Earth-quake Engineering and Structural Dynamics,1992,21(1):21-36.
[4]SHIMOLOGO T,AIDA Y,NAKANO M.Seismicresponse of a flexible rotor[J].Proceedings of the IMech E2nd International Conference on Vibrationin Rotating Machinery,Cambridge,England,1980,321-326.
[5]HASHISH E,SANKAR T S.Finite element andmodal analyses of rotor-bearing systems under sto-chastic loading conditions[J].Journal of Vibration,Acoustic,Stress,and Reliability in Design,1984,106(1):80-89.
[6]TESSARZIK J M,CHIANG T,BADGLEY R H.The response of rotating machinery to external ran-dom vibration[J].Journal of Engineering for In-dustry,1974,96(2):477-489.
[7]BIJAN S,KI Bong Kim,YANG J N.Random vibra-tion of rotating machines under earthquake excita-tions[J].Journal of Engineering Mechanics,1986,112(6):550-565.
[8]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.(ZHAO Yan,LIN Jia-hao,CAO Jian-hua.Seis-mic analysis of rotor system under stationary/nonsta-tionary random earthquake excitations[J].ChineseJournal of Computational Mechanics,2002,19(1):7-11.(in Chinese))
[9]林家浩.随机地震响应的确定性算法[J].地震工程与工程振动,1985,5(1):39-49.(LIN Jia-hao.A cer-tain algorithm of random seismic response[J].Earthquake Engineering and Engineering Vibra-tion,1985,5(1):39-49.(in Chinese))
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