剪切型基础平动与转动结构随机地震响应分析的复模态法
|
摘要
对多层剪切型结构考虑基础平动与转动的随机地震响应问题进行了系统研究。首先建立了结构运动方程,并根据结构的振动反应以第一阶振型为主的特点,将结构按第一振型展开;然后针对所得运动方程为非对称质量与非经典阻尼矩阵的情况,用复模态法解耦,获得了体系位移、速度和加速度随机响应的解析表达式,并给出了算例。该方法可推广到非平稳地震响应分析
The random earthquake response of multi-layer shear type structure with horizontally translational and rotational base is studied systematically. The dynamic equations are established. According to the fact that the first mode contributes as the main part of the total motion the vibration shapr of the structure is developed and approximated to the first mode shape. Then according to the situation that the mass matrix is non-symmetry and damping matrix is non-classical the complex mode theory is used to decouple the equations and to derive the exact solutions of random earthquake response of structural displacement velocity and acceleration. A calculating example is given. The method can be used to analyse the non-stationary random earthquake response.
The random earthquake response of multi-layer shear type structure with horizontally translational and rotational base is studied systematically. The dynamic equations are established. According to the fact that the first mode contributes as the main part of the total motion the vibration shapr of the structure is developed and approximated to the first mode shape. Then according to the situation that the mass matrix is non-symmetry and damping matrix is non-classical the complex mode theory is used to decouple the equations and to derive the exact solutions of random earthquake response of structural displacement velocity and acceleration. A calculating example is given. The method can be used to analyse the non-stationary random earthquake response.
引文
1王光远.建筑结构的震动[M].北京:科学出版社,1978.114—121
2王开顺等.土和结构相互作用地震反应和设计地震荷载,中国建筑科学研究工程抗震研究报告,84—108
3龚思礼.建筑抗震设计[M].北京:中国建筑工业出版社,1994.108—110
4丰定国等.工程结构抗震[M].北京:地震出版社,1995,65—66
5Psychairs I N.D ynam ic behavior of rocking structures allow ed to uplift[J],E arthquake E ngineering and Structural D ynam ics,1983,11(1):57—76
6张之颖等.软基上土—结构相互作用体系的一个广义简化动力计算模型[J].土木工程学报,2004,37(5):70—77
7W irsching.M odel response of structures[J],Journal of structural D ivision.A SC E,1970,96(4):879—882
8李创第,李暾等.高层建筑TM D风振控制分析的复模态法[J].振动与冲击,2003,22(2):1—4
9李创第,黄天立等.带TM D结构随机地震响应分析的复模态法[J].振动与冲击,2003,22(1):36—39
10李创第、黄天立等.基础隔震结构随机地震响应分析的复模态法[J].地震工程与工程振动,2002,22(6):122—128
11Faw zy I,Bishop R E D.O n the dynam ics of linear noncon-servative system s[J],Proc.R oy.Soc,London,Ser.A,1976,25:352
12李创第等.隔震结构非线性随机地震响应分析的复模态法[J].振动与冲击,2004,23(1):21—26
13Fang T,W ang Z Z.Stationary response to second-order filte-red w hite noise excitation[J].A IA A.J.1986,24(6):1048—1051
14李创第.玻璃幕墙线性与非线性抗风动力可靠性分析(1)[J].工业建筑,1999,(5):40—45
14李创第.玻璃幕墙线性与非线性抗风动力可靠性分析(2)[J].工业建筑,1999,(6):17—19
15薛素铎等.基于新抗震规范的地震动随机模型参数研究[J].土木工程学报,2003,36(5):5—10
2王开顺等.土和结构相互作用地震反应和设计地震荷载,中国建筑科学研究工程抗震研究报告,84—108
3龚思礼.建筑抗震设计[M].北京:中国建筑工业出版社,1994.108—110
4丰定国等.工程结构抗震[M].北京:地震出版社,1995,65—66
5Psychairs I N.D ynam ic behavior of rocking structures allow ed to uplift[J],E arthquake E ngineering and Structural D ynam ics,1983,11(1):57—76
6张之颖等.软基上土—结构相互作用体系的一个广义简化动力计算模型[J].土木工程学报,2004,37(5):70—77
7W irsching.M odel response of structures[J],Journal of structural D ivision.A SC E,1970,96(4):879—882
8李创第,李暾等.高层建筑TM D风振控制分析的复模态法[J].振动与冲击,2003,22(2):1—4
9李创第,黄天立等.带TM D结构随机地震响应分析的复模态法[J].振动与冲击,2003,22(1):36—39
10李创第、黄天立等.基础隔震结构随机地震响应分析的复模态法[J].地震工程与工程振动,2002,22(6):122—128
11Faw zy I,Bishop R E D.O n the dynam ics of linear noncon-servative system s[J],Proc.R oy.Soc,London,Ser.A,1976,25:352
12李创第等.隔震结构非线性随机地震响应分析的复模态法[J].振动与冲击,2004,23(1):21—26
13Fang T,W ang Z Z.Stationary response to second-order filte-red w hite noise excitation[J].A IA A.J.1986,24(6):1048—1051
14李创第.玻璃幕墙线性与非线性抗风动力可靠性分析(1)[J].工业建筑,1999,(5):40—45
14李创第.玻璃幕墙线性与非线性抗风动力可靠性分析(2)[J].工业建筑,1999,(6):17—19
15薛素铎等.基于新抗震规范的地震动随机模型参数研究[J].土木工程学报,2003,36(5):5—10
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心