地面运动激励下水中圆锥形柱腿的动力响应  

Dynamic response of conical column excited by ground motion in water

作　　者：邹时智[1,2] 傅仁毅[2] 李彦彦[1] 

机构地区：[1]华中科技大学土木工程与力学学院,湖北武汉430074 [2]顺德职业技术学院信息中心,广东顺德528300

出　　处：《华中科技大学学报（自然科学版）》2009年第11期104-107,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10172038)

摘　　要：根据已知的水中圆锥形柱腿(小锥角)的弯曲湿模态,首先运用线性势流理论并引进附连水质量,证明了这些湿模态满足两个正交关系;然后借助湿模态展开及其正交性求解了地面运动激励下水中圆锥形柱腿的动力响应.该方法的主要优点是由于相应控制方程中湿模态间实现了解耦,从而能将一个多自由度问题化简为系列单自由度问题.算例表明只要系统的湿模态和湿频率一经求出,待求的各阶广义坐标和响应就能容易地确定,因此比常用的边界元方法更有效.According to the known wetted bending modes of conical column with small cone angle in water, two orthogonality relations satisfied by these wetted bending modes were proved by using the linear potential theory and introducing the added water mass. Then, the dynamic response of the conical columns excited by ground motion in water was analyzed by means of the expansion method of wet- ted modes withorthogonality. Its major advantage is reducingofamulti-degree-of freedom problem to a number of individual single-degree of-freedom ones because of uncoupling between all wetted modes in the corresponding governing equation. A numerical example shows that the generalized coordinates can be easily solved once the wetted modes and wetted frequenciesare found. So the present method is more effective than the existing boundary element method.

关 键 词：圆锥柱体 湿模态正交性 动力响应 液固耦振 地面运动激励 

分 类 号：TU311.4[建筑科学—结构工程]