多点输入反应谱中相关系数ρ_(ijkl)的简化
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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。
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,H i(ω)Hj(ω)* is separated into real and image components.Then,according to the integral characteristic,the integration layers of the coherency coefficients ρ ijkl 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.
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,H i(ω)Hj(ω)* is separated into real and image components.Then,according to the integral characteristic,the integration layers of the coherency coefficients ρ ijkl 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.
引文
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[7]孙建梅,叶继红,程文瀼.多点输入反应谱方法的简化[J].东南大学学报,2003,33(5):647～651.Sun Jianmei,Ye Jihong,Cheng Wenrang.Simplification of the multi-support response spectrum method[J].Journal of Southeast University,2003,33(5):647～651.(in Chinese)
[8]孙建梅.多点输入下大跨空间结构抗震性能和分析方法的研究[D].南京:东南大学土木工程学院,2005.Sun Jianmei.Research on seismic behavior and analysis method of long span space structures under multiple support excitations[D].Nanjing:Department of Civil Engineering,Southeast University,2005.(in Chinese)
[9]梁嘉庆.大跨空间结构在非一致输入下的弹性响应分析[D].南京:东南大学土木工程学院,2004.Liang Jiaqing.Study on elastic vibration of space structures under non-uniform excitations[D].Nanjing:Department of Civil Engineering,Southeast University,2004.(in Chinese)
[10]叶继红.网壳结构TMD振动控制理论[D].哈尔滨:哈尔滨工业大学,1998.Ye Jihong.Theory of TMD vibration control of shell structure[D].Harbin:Harbin Institute of Technology,1998.(in Chinese)
[2]Heredia_Zavoni E,Vanmarcke E H.Seismic random_vibration analysis of multi-support structure systems[J].Journal of the Engineering Mechanics,ASCE,1994,120(5):1107～1128.
[3]李建俊,林家浩,张文首.大跨度结构受多点随机地震激励的响应[J].计算结构力学及其应用,1995,12(4):445～452.Li Jianjun,Lin Jiahao,Zhang Wenshou.Responses of long-span structures subjected to arbitrarily coherent multi-point stationary random seismic excitations[J].Computational Structural Mechanics and Applications,1995,12(4):445～452.(in Chinese)
[4]Lin Jiahao.A fast CQC algorthm of PSD matrices for random seismic responses[J].Computers&Structures,1992,44(3):683～687.
[5]Lin J H,Williams F W,Zhang W S.A new approach to multi-excitation stochastic seismic responses[J].Micro.Computers in Civil Engineering,1993,8(4):283～290.
[6]Chin-Hsiung Loh,Bao-Ding Ku.An efficient analysis of structural response for multiple-support seismic excitations[J].Engeering Structure,1995,17(1):15～26.
[7]孙建梅,叶继红,程文瀼.多点输入反应谱方法的简化[J].东南大学学报,2003,33(5):647～651.Sun Jianmei,Ye Jihong,Cheng Wenrang.Simplification of the multi-support response spectrum method[J].Journal of Southeast University,2003,33(5):647～651.(in Chinese)
[8]孙建梅.多点输入下大跨空间结构抗震性能和分析方法的研究[D].南京:东南大学土木工程学院,2005.Sun Jianmei.Research on seismic behavior and analysis method of long span space structures under multiple support excitations[D].Nanjing:Department of Civil Engineering,Southeast University,2005.(in Chinese)
[9]梁嘉庆.大跨空间结构在非一致输入下的弹性响应分析[D].南京:东南大学土木工程学院,2004.Liang Jiaqing.Study on elastic vibration of space structures under non-uniform excitations[D].Nanjing:Department of Civil Engineering,Southeast University,2004.(in Chinese)
[10]叶继红.网壳结构TMD振动控制理论[D].哈尔滨:哈尔滨工业大学,1998.Ye Jihong.Theory of TMD vibration control of shell structure[D].Harbin:Harbin Institute of Technology,1998.(in Chinese)
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