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Archive of Applied Mechanics
Published in: Archive of Applied Mechanics 4/2018

17-11-2017 | Original

A numerical study on the nonlinear behavior of corner supported flat and curved panels

Authors: Gaurav Watts, M. K. Singha, S. Pradyumna

Published in: Archive of Applied Mechanics | Issue 4/2018

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Abstract

The nonlinear behavior of corner supported plates and curved shell panels is investigated here using the first-order shear deformation theory based on Marguerre’s membrane strains for shallow shells and von Kármán’s nonlinearity. The nonlinear differential equations are transformed into a set of nonlinear algebraic equations by using the element-free Galerkin method. The moving kriging shape function with two different types of correlation formulae (Gaussian and quartic spline) is employed here. After studying the effectiveness of the method, a detailed parametric study is conducted to examine the effect of support size on the displacements and bending moments of corner supported rectangular plates. Thereafter, the numerical study is extended to the nonlinear bending and stability behaviors of corner supported shallow cylindrical and spherical shell panels.
previous article Vibration characteristics of rotating orthotropic cantilever plates using analytical approaches: a comprehensive parametric study
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Metadata
Title
A numerical study on the nonlinear behavior of corner supported flat and curved panels
Authors
Gaurav Watts
M. K. Singha
S. Pradyumna
Publication date
17-11-2017
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 4/2018
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-017-1322-1

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