|本期目录/Table of Contents|

[1]黄会荣,郝际平,黄义.厚圆柱扁壳位移型基本方程及控制方程分析[J].建筑科学与工程学报,2007,24(02):43-47.
　HUANG Hui-rong,HAO Ji-ping,HUANG Yi.Displacement Fundamental Equations and Analysis of Governing Equations of Thick Cylindrical Shallow Shells[J].Journal of Architecture and Civil Engineering,2007,24(02):43-47.
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厚圆柱扁壳位移型基本方程及控制方程分析(PDF)
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《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

卷:
24卷
期数:
2007年02期
页码:
43-47
栏目:
出版日期:
2007-06-20

文章信息/Info

Title:
Displacement Fundamental Equations and Analysis of Governing Equations of Thick Cylindrical Shallow Shells
作者:
黄会荣1,郝际平2,黄义3
1. 西安建筑科技大学 机电工程学院,陕西 西安 710055; 2. 西安建筑科技大学 土木工程学院, 陕西 西安 710055; 3. 西安建筑科技大学 理学院,陕西 西安 710055
Author(s):
HUANG Hui-rong1, HAO Ji-ping2, HUANG Yi3
1. School of Mechanical and Electrical Engineering, Xi'an University of Architecture and Technology, Xi'an 710055, Shaanxi, China; 2. School of Civil Engineering, Xi'an University of Architecture and Technology, Xi'an 710055, Shaanxi, China; 3. School of Science, Xi'an University of Architecture and Technology, Xi'an 710055, Shaanxi, China
关键词:
横向剪切变形;  厚壳;  厚圆柱扁壳;  位移函数;  位移型基本方程;  控制方程
Keywords:
transverse shearing deformation;  thick shell;  thick cylindrical shallow shell;  displacement function;  displacement fundamental equation;  governing equation
分类号:
TU33
DOI:
-
文献标志码:
A
摘要:
基于考虑横向剪切变形的厚壳位移型基本方程及扁壳基本假定,建立了以5个中面位移为5个独立变量的厚扁壳及厚圆柱扁壳位移型基本方程。对厚圆柱扁壳进行了动力分析,首先引入3个辅助位移函数,同时运用柯西-黎曼条件,将5个二阶微分方程变形为1个二阶和2个四阶过渡微分方程; 然后引入另一辅助位移函数,建立其解耦的控制微分方程; 最后利用4个辅助位移函数求出5个位移分量。结果表明,厚扁壳的位移型基本方程退化为厚圆柱扁壳及薄圆柱扁壳的位移型方程是正确的,且所推导的方程具有通用性。
Abstract:
The displacement fundamental equations of the thick shallow shells and thick cylindrical shallow shells concerning five independent variables, ie five middle surface displacements were established based on the displacement fundamental equations of the thick shells by transverse shearing deformation and basic hypothesis on shallow shells. Authors analyzed thick cylindrical shallow shells' dynamic characteristics by introducing three assistant displacement functions, ie authors converted five second-order differential equations into a second-order differential equation and two fourth-order transition differential equations using Cauchy-Riemann condition, and then introduced another assistant displacement functions to build its decoupled governing differential equations and obtained five displacement components through four assistant displacement functions. The displacements of equations of thick shallow shells degenerate to the displacement equations of the thick cylindrical shallow shells and thin cylindrical shallow shells, which are proved to be right and demonstrate the generality of derived equations.

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备注/Memo

备注/Memo:
收稿日期:2007-01-06
基金项目:国家自然科学基金项目(59978038)
作者简介:黄会荣(1963-),女,陕西西安人,副教授,工学博士研究生,E-mail:610113jiejie@163.com。
更新日期/Last Update: 2007-06-20