|Table of Contents|

Displacement Fundamental Equations and Analysis of Governing Equations of Thick Cylindrical Shallow Shells(PDF)

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

Issue:
2007年02期
Page:
43-47
Research Field:
Publishing date:
2007-06-20

Info

Title:
Displacement Fundamental Equations and Analysis of Governing Equations of Thick Cylindrical 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:
transverse shearing deformation thick shell thick cylindrical shallow shell displacement function displacement fundamental equation governing equation
PACS:
TU33
DOI:
-
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.

References:

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Last Update: 2007-06-20