基于Liapunov理论的结构非线性振动的混合控制
|
摘要
研究了地震激励下高层建筑进入塑性阶段后 ,结构非线性振动的混合控制问题。高层建筑简化为剪力墙形式 ,具有非线性滞变恢复力。采用被动基础隔振和主动控制力相结合的策略 ,对结构的非线性振动进行混合控制。基于Liapunov第二法 ,从系统的能量角度出发进行稳定性分析 ,找到控制系统的Liapunov函数 ,本着工程抗震设计中安全与经济的原则 ,应用允许结构反应进入非线性或塑性阶段的理论 ,判定所提出的混合控制方法具有Liapunov意义下的稳定
The paper is concerned with the hybrid control of earthquake excited high-raised buildings. The building is modeled as a shear-wall type structure with non-linear hysteretic restoring forces after the structure enter the period of nonlinearity and plasticity. A passive baseisolation is combined with actuators applied at the basement of the structure. A candidate for Liapunov function is found out based on the theory of energy. A non-linear control law is designed following the theory of liapunov, since small residual deformations have to be tolerated due to inelastic energy dissipation, asymptotic stability will not be required, but only stability in the sense of liapunov has to be guarantee. Computer simulations demonstrate the efficiency of the proposed control algorithm.
The paper is concerned with the hybrid control of earthquake excited high-raised buildings. The building is modeled as a shear-wall type structure with non-linear hysteretic restoring forces after the structure enter the period of nonlinearity and plasticity. A passive baseisolation is combined with actuators applied at the basement of the structure. A candidate for Liapunov function is found out based on the theory of energy. A non-linear control law is designed following the theory of liapunov, since small residual deformations have to be tolerated due to inelastic energy dissipation, asymptotic stability will not be required, but only stability in the sense of liapunov has to be guarantee. Computer simulations demonstrate the efficiency of the proposed control algorithm.
引文
1 李桂青等,结构动力可靠性理论及其应用[M ],地震出版社,19934
2 YangJN ,SoongTT ,Recentadvancesinactivecontrolofcivilen gineeringstructures[M ],ProbabilisticEngineeringMechanics1988,13:179～88
3 YnagJN ,akbarpourA ,GhaemmaghamiP ,Newoptimalcontrolalgorithmsforstructuralcontrol[J],JournalofEngineeringMe chanics1987,1113:1369～86
4 YangJN ,LiZ ,LiuSC ,Stablecontrollersforinstantaneousopti malcontrol[J],JournalofEngineeringMechanics,1992:118:1612～30
5 刘豹,现代控制理论[M],北京机械工业出版社,1998
2 YangJN ,SoongTT ,Recentadvancesinactivecontrolofcivilen gineeringstructures[M ],ProbabilisticEngineeringMechanics1988,13:179～88
3 YnagJN ,akbarpourA ,GhaemmaghamiP ,Newoptimalcontrolalgorithmsforstructuralcontrol[J],JournalofEngineeringMe chanics1987,1113:1369～86
4 YangJN ,LiZ ,LiuSC ,Stablecontrollersforinstantaneousopti malcontrol[J],JournalofEngineeringMechanics,1992:118:1612～30
5 刘豹,现代控制理论[M],北京机械工业出版社,1998
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