基于状态空间精细积分法的闸室底板结构动力响应分析

State-space precise integration method based dynamic response analysis on bottom slab of gate chamber

基于瞬时势能原理建立闸室底板结构动力微分方程,利用控制论中的状态空间理论对动力方程进行降价处理,把精细积分法与高斯数值积分法结合起来,分析闸室底板的动力响应量,形成状态空间精细积分法,在计算过程中,不解线性方程组,程序简单,效率高。算例表明本文方法是可靠与有效的。

Based on the instantaneous potential energy principle,the dynamic differential equations for the structure of the bottom slab of gate chamber are established,and then the order of dynamic equation is reduced with the state-space theory from control theory,furthermore,the dynamic response of the bottom slab is analyzed by the precise integration method combined with the Gauss numerical integration method;from which a state-space precision integration method is formed.This method is simple with a higher efficiency,as no any linear equations are to be solved during the calculation concerned.The relevant calculation case shows that the method is not only reliable,but also effective.