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埋入水中旋转薄壳谐耦振分析的传递矩阵法
引用本文:邹时智,苏海东,向宇,黄玉盈.埋入水中旋转薄壳谐耦振分析的传递矩阵法[J].固体力学学报,2007,28(4):362-368.
作者姓名:邹时智  苏海东  向宇  黄玉盈
作者单位:1. 华中科技大学土木工程与力学学院,武汉,430074
2. 长江科学院材料与结构研究所,武汉,430010
3. 广西工学院汽车工程系,柳州,545006
基金项目:国家自然科学基金 , 教育部高等学校博士学科点专项科研基金 , 广西自然科学基金
摘    要:基于一般线弹性薄壳和势流理论,导出了旋转壳状态向量的一阶常微分矩阵方程和水动压力表达式,再借助齐次扩容技术和精细积分法,应用推广的传递矩阵法对埋入水中旋转薄壳的流固耦振进行了数值求解,并研究了一些因素对精度的影响.算例表明传递矩阵法和有限元方法相比不仅精度良好,而且有较高的计算效率.

关 键 词:旋转薄壳  传递矩阵法  齐次扩容精细积分法  流固耦合振动
收稿时间:2007-02-05
修稿时间:2007-10-25

A TRANSFER MATRIX METHOD FOR ANALYZING HARMONIC RESPONSES OF REVOLUTIONARY SHELLS SUBMERGED IN WATER
Zou Shizhi,Su Haidong,Xiang Yu,Huang Yuying.A TRANSFER MATRIX METHOD FOR ANALYZING HARMONIC RESPONSES OF REVOLUTIONARY SHELLS SUBMERGED IN WATER[J].Acta Mechnica Solida Sinica,2007,28(4):362-368.
Authors:Zou Shizhi  Su Haidong  Xiang Yu  Huang Yuying
Abstract:Based on the general thin shell thory,a first order ordinary differential equation with matrix form for state vector of revolutionary shells is firstly derived in this paper.This matrix differential equation is an important basis for solving the interaction problems of revolutionary shells submerged in water.However,its solution obtained using the transfer matrix method is difficult because of this matrix differential equation with variable coefficient and non-homogeneity.By means of the extended homogeneous capacity and the high precision integration technique,the above equation can be changed into a constant coefficient and homogeneous equation.Then the displacement responses of some revolutionary shells in water under harmonic excitation are analyzed by the transfer matrix method.Numerical examples show that the proposed method is very effective and reliable.It is worth to point out that the method presented here can be extended to solving the coupling vibrations of revolutionary shells with variable thickness and stiffened by rings along their meridian direction.
Keywords:revolutionary shell  transfer matrix method  extended homogeneous capacity high precision integration method  fluid-structure coupling vibration
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