On Perturbation Solutions for Axisymmetric Bending Boundary Values of a Deep Thin Spherical Shell
Joint Authors
Xiao, Rong
Cheng, Wei
Dan, Dan-Hui
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-31
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
On the basis of the general theory of elastic thin shells and the Kirchhoff-Love hypothesis, a fundamental equation for a thin shell under the moment theory is established.
In this study, the author derives Reissner’s equation with a transverse shear force Q 1 and the displacement component w .
These basic unknown quantities are derived considering the axisymmetry of the deep, thin spherical shell and manage to constitute a boundary value question of axisymmetric bending of the deep thin spherical shell under boundary conditions.
The asymptotic solution is obtained by the composite expansion method.
At the end of this paper, to prove the correctness and accuracy of the derivation, an example is given to compare the numerical solution by ANSYS and the perturbation solution.
Meanwhile, the effects of material and geometric parameters on the nonlinear response of axisymmetric deep thin spherical shell under uniform external pressure are also analyzed in this paper.
American Psychological Association (APA)
Xiao, Rong& Dan, Dan-Hui& Cheng, Wei. 2014. On Perturbation Solutions for Axisymmetric Bending Boundary Values of a Deep Thin Spherical Shell. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1046536
Modern Language Association (MLA)
Xiao, Rong…[et al.]. On Perturbation Solutions for Axisymmetric Bending Boundary Values of a Deep Thin Spherical Shell. Mathematical Problems in Engineering No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1046536
American Medical Association (AMA)
Xiao, Rong& Dan, Dan-Hui& Cheng, Wei. On Perturbation Solutions for Axisymmetric Bending Boundary Values of a Deep Thin Spherical Shell. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1046536
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046536