基础隔震结构地震响应时程分析新方法
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摘要
针对隔震层恢复力模型为折线型的层间剪切动力方程,研究了基础隔震结构在地震作用下的弹塑性时程反应。通过多种方法比较,说明了各种方法的优缺点。采用把结构特性和外部激励分开进行精细积分的增维分块精细积分法,避免了每一步迭代过程中的指数矩阵精细积分求解,在保持计算精度的同时,提高了计算效率;考虑地震作用特点后,增维分块精细积分法的计算效率有所提高。因此,增维分块积分法在计算基础隔震结构地震响应上是非常有效的。
The broken line type of restoring force model of an isolation equipment with inter-storey shear type for a base-isolated structure is used to study its seismic elastoplastic responses.After comparing advantages and disadvantages of current various computing methods,a new method called dimensional increment and partitioning precise integration method(PIM)is proposed.With it,structural properties and external excitations can be considered separately and solving exponential matrices by PIM in each iteration step can be avoided.Typical numerical examples show that the proposed method is very effective to compute the seismic responses of the base-isolated structure,it not only increases the computing efficiency but also keeps higher computing accuracy.
The broken line type of restoring force model of an isolation equipment with inter-storey shear type for a base-isolated structure is used to study its seismic elastoplastic responses.After comparing advantages and disadvantages of current various computing methods,a new method called dimensional increment and partitioning precise integration method(PIM)is proposed.With it,structural properties and external excitations can be considered separately and solving exponential matrices by PIM in each iteration step can be avoided.Typical numerical examples show that the proposed method is very effective to compute the seismic responses of the base-isolated structure,it not only increases the computing efficiency but also keeps higher computing accuracy.
引文
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[3]李创第,黄东梅,陈俊忠等.切型基础平动与转动结构随机地震响应分析的复模态法[J].振动与冲击,2005,24(5):67—70.
[4]钟万勰.应用力学的辛数学方法[M].第一版,北京:高等教育出版社,2006.
[5]张素英,邓子辰.非线性动力方程的增维精细积分法[J].计算力学学报,2003,20(4):423—426.
[6]沈聚敏,周锡元,高小旺,刘晶波.抗震工程学[M].第一版,北京:中国建筑工业出版社,2000.
[7]Vasant A,Matsagar,R.S.Jangid.Influence of isolator char-acteristics on the response of base-isolated structures.Engi-neering structures,2004,6:1735—1749.
[8]Ivo Calio,Massimo Marletta,Francesco Vinciprova.Seismic response of multi-story building base-isolated by friction de-vices with restoring properties.Computers and structures,2003,81:2589—2599.
[9]任伟,杜铁钧.定常结构动力方程增维精细积分法求解的注记[J].杭州电子科技大学学报,2005,25(1):41—43.
[10]汪梦甫,区达光.精细积分方法的评估与改进[J].计算力学学报,2004,21(6):728—733.
[11]日本免震构造协会(编),叶列平(译).图解隔震结构入门[M].第一版,北京:科学出版社,1998.
[12]钟万勰等.计算结构力学与最优控制[M].大连:大连理工大学出版社,1993.
[13]周福霖.工程结构减震控制[M].第一版,北京:地震出版社,1997.
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