水平地震作用下剪切型建筑结构分散滑模控制
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摘要
将大尺度建筑结构整体状态方程分解为子结构形式,子结构间的耦合作用及地震干扰视为作用于子结构的有界广义力,利用滑模控制的匹配条件及子结构广义力的有界性,实现基于全局稳定的子结构分散稳定控制.进而,根据剪切型建筑结构系统矩阵特点,建立建筑结构分散滑模控制中满足滑模匹配要求的控制器布置条件;利用作用力位置矩阵奇异值分解的方法实现一般情况下该方法的控制过程.研究表明,基于滑模理论的分散控制可以有效实现建筑结构抗震控制;剪切型建筑结构控制设计的匹配条件仅与控制器数目和子结构层数有关.以20层钢结构基准模型在地震激励下的控制为例,说明该方法的实现过程.
Integral state equation of large-scale building structure was decomposed into the form of substructures and the inter-substructure coupling action and seismic perturbation were taken as a limited generalized force on the substructure.By using the matching condition of sliding-mode control and the limitation of generalized force on the substructure,the decentralized stability control of the substructures was realized based on integral stability.Further,according to the matrix feature of the shear building structure,its actuator arrangement satisfying sliding-mode matching condition was determined.By using the method of singular value decomposition of force position matrix,the control process with this method was realized in common situation.It was shown by the investigation that the anti-seismic control of the building structures could be realized by using sliding mode theory based decentralized control;and the matching condition for control design of shear-type building structures would be dependent only on the number of control actuators and storey of substructure.A twenty-storey steel structural basic model under seismic excitation was taken as the example to show the implementing process of this method.
引文
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