筒中筒结构动力时程分析的精细积分法
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摘要
采用筒中筒结构的并联铁摩辛柯梁模型,先从结构总势能出发,求得筒中筒结构协同分析的哈密顿对偶体系,然后由两端边值问题精细积分法中的区段混合能矩阵推导出结构的层单元刚度矩阵,利用有限元刚度集成法形成总刚矩阵,最后采用初值问题的精细积分法对筒中筒结构进行动力时程分析,并编制相应的Matlab程序.通过算例验证了方法的可靠性与可行性,该方法也适用于框架、剪力墙、框剪等高层建筑结构的动力时程分析.
Parallel shear-bending beam model of tube-in-tube structures is used for the dynamic time history analysis.According to the total potential energy of structure,the Hamiltonian dual system of coordination analysis is established for tube-in-tube structure.The layer element stiffness matrix is introduced according to interval mixed energy matrix which is based on the precise integration method of the double end boundary value problems,and the global stiffness matrix of structure can be established according to the finite element stiffness integration method.Eventually,the dynamic time history analysis is processed on the tube-in-tube structures based on the precise integration method of initial value problems,and the relevant program is compiled.The reliability and feasibility of this method is testified through an example,and this method can also be applied to other tall buildings,such as frame structures,shear wall structures,frame-shear wall structures and so on.
Parallel shear-bending beam model of tube-in-tube structures is used for the dynamic time history analysis.According to the total potential energy of structure,the Hamiltonian dual system of coordination analysis is established for tube-in-tube structure.The layer element stiffness matrix is introduced according to interval mixed energy matrix which is based on the precise integration method of the double end boundary value problems,and the global stiffness matrix of structure can be established according to the finite element stiffness integration method.Eventually,the dynamic time history analysis is processed on the tube-in-tube structures based on the precise integration method of initial value problems,and the relevant program is compiled.The reliability and feasibility of this method is testified through an example,and this method can also be applied to other tall buildings,such as frame structures,shear wall structures,frame-shear wall structures and so on.
引文
[1]朱幼麟.筒中筒结构的简化计算[J].建筑结构学报,1984,5(2):9—21.
[2]陈加猛,梁启智,张晓虹.高层筒中筒结构的二阶分析[J].华南理工大学学报(自然科学版),1998,26(8):78—85.
[3]侯瑞珀.基于并联剪弯梁模型的高层建筑结构协同分析[D].河北:河北工程大学,2006.
[4]钟万勰.应用力学的辛数学方法[M].北京:高等教育出版社,2006.
[5]胡启平,卢明.筒中筒结构协同分析新方法[J].工程力学,2007,24:150—151.
[6]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.
[7]包世华.高层建筑结构计算[M].北京:高等教育出版社,1991.
[8]汪梦甫,周锡元.结构动力方程的高斯精细时程积分法[J].工程力学,2004,21(4):13—16.
[9]胡启平,孙良鑫,高洪俊.铁摩辛柯梁弯曲问题的精细积分法[J].工业建筑,2007(增刊):268—270.
[10]禤强.高层建筑筒体结构地震响应的QR法分析[D].广西:广西大学,2004:49—51.
[2]陈加猛,梁启智,张晓虹.高层筒中筒结构的二阶分析[J].华南理工大学学报(自然科学版),1998,26(8):78—85.
[3]侯瑞珀.基于并联剪弯梁模型的高层建筑结构协同分析[D].河北:河北工程大学,2006.
[4]钟万勰.应用力学的辛数学方法[M].北京:高等教育出版社,2006.
[5]胡启平,卢明.筒中筒结构协同分析新方法[J].工程力学,2007,24:150—151.
[6]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.
[7]包世华.高层建筑结构计算[M].北京:高等教育出版社,1991.
[8]汪梦甫,周锡元.结构动力方程的高斯精细时程积分法[J].工程力学,2004,21(4):13—16.
[9]胡启平,孙良鑫,高洪俊.铁摩辛柯梁弯曲问题的精细积分法[J].工业建筑,2007(增刊):268—270.
[10]禤强.高层建筑筒体结构地震响应的QR法分析[D].广西:广西大学,2004:49—51.
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