R-function theory method for bending problem of slip clamped trapezoidal shallow spherical shell

DOI

10.2991/iceep-17.2017.4How to use a DOI?

Keywords

R-function, Green's function, integral equation, bending problem, shallow spherical shell

Abstract

In this paper, the R-function theory(RFT) is applied to solve the bending problem of slip clamped trapezoidal shallow spherical shell. Firstly the fundamental solution of the biharmonic operator, the boundary equation and the R-function are used to construct the quasi-Green's function. Then the model governing differential equation of the problem is reduced to the Fredholm integral equation of the second kind by Green's formula. The singularity of the kernel of the integral equation is overcome by choosing a suitable form of the normalized boundary equation by the R-function. A numerical example shows that this method is an effective numerical method.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Shanqing Li
PY  - 2017/06
DA  - 2017/06
TI  - R-function theory method for bending problem of slip clamped trapezoidal shallow spherical shell
BT  - Proceedings of the 2017 6th International Conference on Energy and Environmental Protection (ICEEP 2017)
PB  - Atlantis Press
SP  - 21
EP  - 25
SN  - 2352-5401
UR  - https://doi.org/10.2991/iceep-17.2017.4
DO  - 10.2991/iceep-17.2017.4
ID  - Li2017/06
ER  -