房屋隔震体系动力特性计算的摄动方法
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摘要
该文在考虑房屋基础隔震体系刚度分布特点的基础上,将上下部结构刚度比作为摄动参数,系统建立了隔震结构动力特性计算的摄动方法。理论推导及算例说明,该方法能清晰地分析各阶动力微量作用对结构的影响,每一级计算各变量量级相同,从而确保了计算结果的合理性、可靠性和稳定性。该方法可以用于复杂隔震体系的动力计算。
In this paper, according to the stiffness distribution characteristics of base isolation building system, the perturbation method for dynamic analyses of such system is developed, in which the ratio of the upper structure stiffness to that of the lower structure is adopted as perturbation parameters. Theoretical derivation and numerical examples show that the method can clearly demonstrate the influence on the dynamic responses of the structure by various orders of differential dynamic forces. As the variables are the same in each calculation level, so the rationality, reliability and stability of calculation results could be ensured. The proposed method can be applied to complex base-isolation system for dynamic analysis.
In this paper, according to the stiffness distribution characteristics of base isolation building system, the perturbation method for dynamic analyses of such system is developed, in which the ratio of the upper structure stiffness to that of the lower structure is adopted as perturbation parameters. Theoretical derivation and numerical examples show that the method can clearly demonstrate the influence on the dynamic responses of the structure by various orders of differential dynamic forces. As the variables are the same in each calculation level, so the rationality, reliability and stability of calculation results could be ensured. The proposed method can be applied to complex base-isolation system for dynamic analysis.
引文
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[5]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)
[6]Architectural Institute of Japan.Recommendation for the design of base isolated building[M].Tokyo:Marozen Corporation,2001.
[7]Nagarajaiah S,Reinhorn A M,Constantinou M C.Nonlinear dynamic analysis of three base isolated structures[J].Journal of Structural Engineering,ASCE,1991,117(7):2035―2054.
[8]Clough R W,Penzien J.Dynamics of structures[M].McGraw-Hill Book Company,1975.
[9]Bathe K J,Wilson E L.Numerical methods in finite element analysis[M].New Jersey:Prentice Hall New Tensey,1976.
[10]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)
[2]向伟明,李向真.考虑扭转耦联隔震结构简化体系的地震时程反应分析及有关参数的影响[J].工程抗震与加固改造,2004,26(6):15―19.Xiang Weiming,Li Xiangzhen.Time-history response analysis for simplified system about translation-torsion coupling isolated structure[J].Earthquake Resistant Engineering and Retrofitting,2004,26(6):15―19.(in Chinese)
[3]武田寿一.建筑物隔震、防振与控制[M].北京:中国建筑工业出版社,1997.Takeda Zuichi.Building isolation and vibration-proof and control[M].Beijing:China Architecture Industry Press,1997.(in Chinese)
[4]王文亮,杜作润.结构振动与动态子结构方法[M].上海:复旦大学出版社,1985.Wang Wenliang,Du Zuorun.Structural vibration and dynamic substructure method[M].Shanghai:Princeton University Press,1985.(in Chinese)
[5]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)
[6]Architectural Institute of Japan.Recommendation for the design of base isolated building[M].Tokyo:Marozen Corporation,2001.
[7]Nagarajaiah S,Reinhorn A M,Constantinou M C.Nonlinear dynamic analysis of three base isolated structures[J].Journal of Structural Engineering,ASCE,1991,117(7):2035―2054.
[8]Clough R W,Penzien J.Dynamics of structures[M].McGraw-Hill Book Company,1975.
[9]Bathe K J,Wilson E L.Numerical methods in finite element analysis[M].New Jersey:Prentice Hall New Tensey,1976.
[10]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)
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