苏志霄, 阎民. 多自由度线性阻尼系统的频域及时域响应分析[J]. 力学与实践, 1998, 20(4): 29-31. DOI: 10.6052/1000-0879-1999-300
引用本文: 苏志霄, 阎民. 多自由度线性阻尼系统的频域及时域响应分析[J]. 力学与实践, 1998, 20(4): 29-31. DOI: 10.6052/1000-0879-1999-300
FREQUENCY AND TIME DOMA IN RESPONSE ANALYSIS FOR LINEAR DAMPED SYSTEMS WITH MULTI DEGREES OF FREEDOM[J]. MECHANICS IN ENGINEERING, 1998, 20(4): 29-31. DOI: 10.6052/1000-0879-1999-300
Citation: FREQUENCY AND TIME DOMA IN RESPONSE ANALYSIS FOR LINEAR DAMPED SYSTEMS WITH MULTI DEGREES OF FREEDOM[J]. MECHANICS IN ENGINEERING, 1998, 20(4): 29-31. DOI: 10.6052/1000-0879-1999-300

多自由度线性阻尼系统的频域及时域响应分析

FREQUENCY AND TIME DOMA IN RESPONSE ANALYSIS FOR LINEAR DAMPED SYSTEMS WITH MULTI DEGREES OF FREEDOM

  • 摘要: 本文从分析频率方程解的形式出发,通过设定响应的频域形式,得出自由振动时域响应的显式解,并导出任意强迫振动的Duhamel积分.文中的分析方法适用于系统质量、阻尼、刚度阵均为非对称的情形,且属于精确求解.

     

    Abstract: In this paper,the response expression in frequency domain is obtained by analyzing the solutions of frequency equation for linear damped systems with multidegrees of freedom,then the explicit response expression in time domain for free vibration,duhamel integration for forced vibration are deduced by use of inverse fourier transform.This method can also be used for systems with unsymmetrical mass,damping and stiffness matrices,and the solutions are exact.

     

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