基于状态空间理论分析圆柱形拱坝静动力响应  

Analysis of Static and Dynamical Response of the Cylindrical Arch Dam Based on the State Space Theory

作　　者：沈小璞[1,2] 陈荣毅 王建国[1] 

机构地区：[1]合肥工业大学土木与水利工程学院,安徽合肥230009 [2]安徽建筑工业学院土木工程学院,安徽合肥230022 [3]广州市建委,广东广州510001

出　　处：《华中科技大学学报（城市科学版）》2008年第4期64-69,共6页Journal of Huazhong University of Science and Technology

基　　金：安徽省教育厅自然科学基金重点项目(KJ2007A056)

摘　　要：本文应用现代控制论中的状态空间理论,引入圆柱形拱坝内应力与位移作为状态变量,根据圆柱形拱坝的控制方程及其混合能量变分原理,推导出状态方程。对静力问题,将指数矩阵函数展成级数来求解;对动力问题,采用状态空间迭代法来求解。由于状态空间法同时可算出各种应力与位移量,因此应力与位移的精度均较高。文中给出圆柱形拱坝动力响应问题的数值算例,所得计算结果与其他方法进行了比较。By applying the state space theories in the modem control theory, the displacement and the stress in cylindrical arch dam are taken as state variables. According to the control equation of cylindrical arch dam and mixed energy variation principle, the state equation is derived. The exponential matrix function exhibition series was applied to solve the static problem; adopt the state space iterative method was applied to solve dynamic problem. Since state space method can at the same time make various stress and displacement finally to measure, therefore, the precision of stress and displacement is higher. The numerical example of problem to dynamical response of the cylindrical arch dam is given, and results of other methods are compared.

关 键 词：状态空间理论 圆柱形拱坝 混合能量变分原理 指数矩阵函数 状态空间迭代法 动力响应 

分 类 号：TV642.46[水利工程—水利水电工程]