基于摄动法及等效线性化的耗能减震结构振型分解法
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摘要
采用耗能减震结构是一种经济有效的提高结构抗震能力的方法。针对此类结构在基于等效线性化的振型分解反应谱法进行分析中存在的计算精度差且耗时的问题,提出了求解运动方程本征值问题的基于改进一阶摄动的模态高精度展开法,在此基础上,推导出强行解耦的振型分解法以及相应的一阶摄动修正。最后通过算例证明,提出的基于摄动法及等效线性化的耗能减震结构振型分解法是行之有效的。
It is an economical and effective method to enhance the aseismatic capability of buildings by using passive energy dissipation structures. But in the analysis of this type of structure with mode-superposition response spectrum method based on equivalent linearization, it is rather difficult and time-consuming to obtain satisfactory results. An accurate expansion method for modes based on the improved first-order perturbation is presented in this paper. A relatively uncoupled mode-superposition method and a modified first-order perturbation method are derived. A numerical example shows that the present strategy is correct and effective.
It is an economical and effective method to enhance the aseismatic capability of buildings by using passive energy dissipation structures. But in the analysis of this type of structure with mode-superposition response spectrum method based on equivalent linearization, it is rather difficult and time-consuming to obtain satisfactory results. An accurate expansion method for modes based on the improved first-order perturbation is presented in this paper. A relatively uncoupled mode-superposition method and a modified first-order perturbation method are derived. A numerical example shows that the present strategy is correct and effective.
引文
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[2]唐家祥.隔震与消能减震结构的设计规定[J].工程抗震,1999,3:13-18.Tang Jiaxiang.Specifications for design of base-isolated and energy dissipation structures[J].Earthquake Resistance Engineering,1999,3:13-18.(in Chinese)
[3]周福霖.工程结构减震控制[M].北京:地震出版社,1996.Zhou Fulin.Vibration control of engineering structures[M].Beijing:Seismological Press,1996.(in Chinese)
[4]欧进萍,吴斌,龙旭.结构被动耗能减振效果的参数影响[J].地震工程与工程振动,1998,18(1):60-70.Ou Jinping,Wu Bin,Long Xu.Parameter analysis of passive energy dissipation systems[J].Earthquake Engineering and Engineering Vibration,1998,18(1):60-70.(in Chinese)
[5]陈塑寰.结构振动分析的矩阵摄动理论[M].重庆:重庆出版社,1991.Chen Suhuan.Theory of matrix perturbation for structural dynamic analysis[M].Chongqing:Chongqing Press,1991.(in Chinese)
[6]陈塑寰.结构动态设计的矩阵摄动理论[M].北京:科学出版社,1999.Chen Suhuan.Theory of matrix perturbation for structural dynamic design[M].Beijing:Science Press,1999.
[7]方同.薛璞.振动理论及应用[M].西安:西北工业大学出版社,1998.Fang Tong,Xue Pu.Vibration theory and application[M].Xi’an:Northwestern Polytechnical University Press,1998.(in Chinese)
[8]陈塑寰,刘中生,赵又群.振型一阶导数的高精度截尾模态展开法[J].力学学报,1993,25(4):427-434.Chen Suhuan,Liu Zhongsheng,Zhao Youqun.An accurate modal superposition method for computing mode shape derivatives in structural dynamics[J].Acta Mechanica Sinica,1993,25(4):427-434.(in Chinese)
[9]范文亮.被动耗能减震结构的分析与设计方法研究[D].重庆:重庆大学,2003.Fan Wenliang.Analysis and design methods for passive energy dissipation systems[D].Master Thesis,Chongqing University,2003.(in Chinese)
[10]郭永刚,曲乃泗,董毓新.在非比例阻尼情况下结构动力响应的摄动分析方法[J].地震工程与工程振动,1995,15(4):48-54.Guo Yonggang,Qu Naisi,Dong Yuxin.Perturbation analysis method for the non-proportional damping effect on structure dynamic response[J].Earthquake Engineering and Engineering Vibration,1995,15(4):48-54.(in Chinese)
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