Journal ArticleDOI
Nonlinear flexural oscillations of orthotropic shallow spherical shells
T.K. Varadan,K.A.V. Pandalai +1 more
TLDR
In this paper, the effect of curvature and polar orthotropy on nonlinear dynamic behavior of a shallow spherical shell is investigated and numerical solutions based on an assumed two-term modeshape for the axisymmetric, forced (uniform pressure) and free vibrations are obtained for different shell geometries and orthotropic material constants.About:
This article is published in Computers & Structures.The article was published on 1978-10-01. It has received 26 citations till now. The article focuses on the topics: Spherical shell & Orthotropic material.read more
Citations
More filters
Journal ArticleDOI
Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction
Journal ArticleDOI
Non-linear behaviour of free-edge shallow spherical shells: Effect of the geometry
Cyril Touzé,Olivier Thomas +1 more
TL;DR: In this paper, nonlinear vibrations of free-edge shallow spherical shells are investigated, in order to predict the trend of nonlinearity (hardening/softening behaviour) for each mode of the shell, as a function of its geometry.
Journal ArticleDOI
Dynamic buckling of orthotropic shallow spherical shells
M. Ganapathi,T.K. Varadan +1 more
TL;DR: In this paper, the dynamic axisymmetric behavior of clamped orthotropic shallow spherical shell subjected to instantaneously applied uniform step-pressure load of infinite duration, is investigated, and the resulting modal equations, two in number, are numerically integrated using Runge-Kutta method, and hence the load-deflection curves are plotted.
Journal ArticleDOI
Large amplitude free vibration behavior of doubly curved shallow open shells with simply-supported edges
TL;DR: In this article, the von Karman type nonlinear strains are incorporated into the first-order shear deformation theory for symmetrically laminated moderately thick doubly curved shallow open shells with simply-supported sides.
Book ChapterDOI
Normal form theory and nonlinear normal modes: Theoretical settings and applications
TL;DR: In this article, the relationship between normal form theory and nonlinear normal modes (NNMs) is discussed for the specific case of vibratory systems displaying polynomial type nonlinearities, and the development of reduced-order models based on NNMs expressed asymptotically with the formalism of real normal form is deeply presented.
References
More filters
Journal ArticleDOI
Unsymmetrical Buckling of Thin Shallow Spherical Shells
TL;DR: In this article, a theoretical study of buckling of clamped shallow spherical shells under uniform external pressure is presented, and it is shown that the shell deforms axisymmetrically under sufficiently low pressure.
Journal ArticleDOI
Large amplitude vibration of buckled beams and rectangular plates
TL;DR: For the case of similar flows in the plane of symmetry of an inclined axisymmetric body with zero streamwise pressure gradient and insulated walls, the following conditions prevail: e\ = 1, e» = r(x), KI = 0, ft = 0 and dgr/d^ = 0.
Related Papers (5)
Dynamic buckling of isotropic and orthotropic shallow spherical cap with circular hole
R.S. Alwar,B. Sekhar Reddy +1 more
Axisymmetric static and dynamic buckling of orthotropic shallow spherical caps with flexible supports
P.C. Dumir,M.L. Gandhi,Y. Nath +2 more