隔震结构基于动力可靠性约束的优化设计
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摘要
为系统研究多自由度基础隔震结构基于动力可靠性约束的优化设计方法.用复模态法获得了结构基于Kanai-Tajimi谱随机地震响应的解析解;以基础隔震结构和基础固定结构的上部结构一阶模态位移标准差之比作为优化目标,以隔震装置位移响应不超过其容许设计限值的动力可靠性为约束条件,运用罚函数法获得隔震装置的优化设计参数,并给出算例,从而建立了基础隔震结构基于动力可靠性约束的优化设计的一整套方法.
Optimal design methods for MDOF base-isolated structure based on the constraint of dynamic reliability were studied systematically. The exact solutions for random earthquake response of the structure were got by using complex mode method. The ratio of standard deviation of the first-order modal displacement of the upper structure for the isolated structure to the fixed-base structure was used as the optimal objective. The dynamic reliability of the isolated equipment was used as constraint condition,and the optimal design parameters of isolated equipment were obtained by the penalty function method. An example was given,therefore,a complete set of methods for optimal design of base-isolated structure based on the constraint of dynamic reliability were established.
Optimal design methods for MDOF base-isolated structure based on the constraint of dynamic reliability were studied systematically. The exact solutions for random earthquake response of the structure were got by using complex mode method. The ratio of standard deviation of the first-order modal displacement of the upper structure for the isolated structure to the fixed-base structure was used as the optimal objective. The dynamic reliability of the isolated equipment was used as constraint condition,and the optimal design parameters of isolated equipment were obtained by the penalty function method. An example was given,therefore,a complete set of methods for optimal design of base-isolated structure based on the constraint of dynamic reliability were established.
引文
[1]周锡元,阎维明,杨润林.建筑结构的隔震、减振和振动控制[J].建筑结构学报,2002,23(2):2-12.
[2]陈建军;车建文;崔明涛,等.结构动力优化设计述评与展望[J].力学进展,2001,31(2):181-192.
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[4]欧进萍,王光远,结构随机振动[M],北京;高等教育出版社,1998.
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[8]李创第,黄天立,李暾.带TMD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.
[9]李创第,李暾,黄天立.高层建筑TMD风振控制分析的复模态法[J].振动与冲击,2003,22(2):1-4.
[10]李暾,李创第.带TLD结构随机风振响应的解析解[J].哈尔滨工业大学学报,2003,35(4):437-444.
[2]陈建军;车建文;崔明涛,等.结构动力优化设计述评与展望[J].力学进展,2001,31(2):181-192.
[3]李创第,黄天立,李暾.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,2003,22(6):122-128.
[4]欧进萍,王光远,结构随机振动[M],北京;高等教育出版社,1998.
[5]刘惟信.机械最优化设计(第二版)[M].北京:清华大学出版社,1994.
[6]李创第,李暾,邹万杰.基础转动结构随机风振响应分析的复模态法[J].工业建筑,2002,32(12):36-39.
[7]李创第,邹万杰,黄天立.基础转动结构随机地震响应分析的复模态法[J].工业建筑,2003,33(7):29-32.
[8]李创第,黄天立,李暾.带TMD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.
[9]李创第,李暾,黄天立.高层建筑TMD风振控制分析的复模态法[J].振动与冲击,2003,22(2):1-4.
[10]李暾,李创第.带TLD结构随机风振响应的解析解[J].哈尔滨工业大学学报,2003,35(4):437-444.
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