|Table of Contents|

Displacement Governing Equations and General Solution of Circular Spherical Thick Shallow Shells(PDF)

《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

Issue:
2007年03期
Page:
36-42
Research Field:
Publishing date:
2007-09-20

Info

Title:
Displacement Governing Equations and General Solution of Circular Spherical Thick Shallow Shells
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
Keywords:
thick shallow spherical shell;  circular spherical thick shallow shell;  displacement function;  displacement fundamental equation;  governing equation
PACS:
TU33
DOI:
-
Abstract:
The displacement fundamental equations of the thick 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, displacement fundamental equations of thick shallow spherical shells in orthogonal curvilinear coordinates and in polar coordinates were obtained. Authors introduced four assistant displacement functions to solve displacement fundamental equations of circular spherical thick shallow shells, which were tenth-order differential equations with variable coefficient and set up the decoupled governing differential equations, then obtained five displacement components through four assistant displacement functions. The results show that the displacements of equations of thick shallow shells degenerate to the displacement equations of the thick shallow spherical shells and thin shallow spherical shells, which demonstrate the generality of derived equations.

References:

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Last Update: 2007-09-20