孙建梅, 叶继红, 程文瀼. 多点输入反应谱中相关系数ρijkl的简化[J]. 工程力学, 2006, 23(7): 124-129.
引用本文: 孙建梅, 叶继红, 程文瀼. 多点输入反应谱中相关系数ρijkl的简化[J]. 工程力学, 2006, 23(7): 124-129.
SUN Jian-mei, YE Ji-hong, CHENG Wen-rang. THE SIMPLIFICATION OF THE COHERENCY COEFFICIENTS ρijklIN THE MULTI-SUPPORT RESPONSE SPECTRUM[J]. Engineering Mechanics, 2006, 23(7): 124-129.
Citation: SUN Jian-mei, YE Ji-hong, CHENG Wen-rang. THE SIMPLIFICATION OF THE COHERENCY COEFFICIENTS ρijklIN THE MULTI-SUPPORT RESPONSE SPECTRUM[J]. Engineering Mechanics, 2006, 23(7): 124-129.

多点输入反应谱中相关系数ρijkl的简化

THE SIMPLIFICATION OF THE COHERENCY COEFFICIENTS ρijklIN THE MULTI-SUPPORT RESPONSE SPECTRUM

  • 摘要: 对多点输入反应谱计算公式中的相关系数进行了简化,简化从频响函数和积分的特性两方面进行。首先将Hi(ω)Hj(ω)*写成实部与虚部和的形式,然后根据积分的特性,将相关系数中的积分次数由原来的i×j×k×l次(i、j为结构的振型个数;k、l为结构的支承点个数)减少到5×j×k×l次,仍为精确解,且计算时间大大缩短,使多点输入反应谱法的推广应用成为可能。

     

    Abstract: The coherency coefficients in the multi-support response spectrum analysis are modified from two aspects:the characteristics of the frequency response function and the integral.First of all,Hi(ω)Hj(ω)* is separated into real and image components.Then,according to the integral characteristic,the integration layers of the coherency coefficients ρijkl are reduced from i×j×k×l(i、j are the numbers of the vibration mode;k、l are the numbers of the support)to 5×j×k×l,which shortens the calculated time but it is still accurate.The simplification makes the multi-support response spectrum analysis easier to conduct.

     

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