基于精细传递矩阵法的静压下圆柱壳自由振动分析  

Free Vibration Analysis of Submerged Cylindrical Shell Using Transfer Matrix Method

作　　者：孙华伟 马伟佳 王献忠[3] 许瑞阳 SUN Huawei;MA Weijia;WANG Xianzhong;XU Ruiyang(College of Shipbuilding Engineering,Harbin Engineering University,Harbin,150001,China;Industry Development and Promotion Center,Ministry of Industry and Information Technology of the People’s Republic of China,Beijing 100846,China;School of Transportation,Wuhan University of Technology,Wuhan 430063,China;Nantong COSCO KHI Ship Engineering Co.,Ltd.,Nantong 226001,China)

机构地区：[1]哈尔滨工程大学船舶工程学院,哈尔滨150001 [2]工业和信息化部产业发展促进中心,北京100846 [3]武汉理工大学交通学院,武汉430063 [4]南通中远川崎船舶工程有限公司,南通226001

出　　处：《中国造船》2021年第1期62-71,共10页Shipbuilding of China

摘　　要：基于精细传递矩阵法研究静水压力对圆柱壳自由振动的影响。静水压力作为预应力计入到壳体的方程中,流体载荷使用Helmholtz方程进行求解。通过引入位移中间向量和关联矩阵来求解状态向量之间的传递矩阵,最后根据边界条件来求得静压作用下壳体的固有频率。讨论了在静水压力作用下圆柱壳的边界条件、壳体厚度以及内外部流场对其流固耦合自由振动的影响。This paper presents a precision transfer matrix method to study the free vibration of a submerged cylindrical shell subjected to external hydrostatic pressure.Analytical expression of fluid load acting on the cylindrical shell is derived from the Helmholtz equation,and the transfer matrix is obtained by introducing the intermediate displacement vector and the correlation matrix.Natural frequency can be obtained with respect to boundary conditions.The influence of boundary conditions,thickness and internal or external fluid on the free vibration of the shell is discussed.

关 键 词：传递矩阵法 静水压力 水下圆柱壳 自由振动 

分 类 号：O326[理学—一般力学与力学基础] TB535[理学—力学]