Nonlinear Axisymmetric Static Analysis of Shallow Spherical Shells on Winkler-Pasternak Foundation

[+] Author and Article Information
R. K. Jain, Y. Nath

Department of Applied Mechanics, Indian Institute of Technology, Delhi, India

J. Offshore Mech. Arct. Eng 109(1), 28-34 (Feb 01, 1987) (7 pages) doi:10.1115/1.3256986 History: Received June 10, 1983; Revised May 01, 1986; Online October 30, 2009


In the present investigation nonlinear static analysis of thin axisymmetric circular plates, annular plates and shallow spherical shells resting on linear elastic Winkler-Pasternak foundation under uniformly distributed normal loads, has been carried out. Donnell-type governing differential equations expressed in terms of normal displacement and stress function have been employed and solved using Chebyshev series. A convergence study for Chebyshev series has been conducted. The influence of foundation stiffness parameters (K and G ) on the response of circular plates, annulus and spherical shells has been studied for both the clamped and simply supported immovable edge conditions. A few typical snap-through results for shells are also included.

Copyright © 1987 by ASME
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