Results 181 to 190 of about 1,976 (223)

Multiple Buckling and Codimension-Three Bifurcation Phenomena of a Nonlinear Oscillator

International Journal of Bifurcation and Chaos, 2014
In this paper, we investigate the global bifurcations and multiple bucklings of a nonlinear oscillator with a pair of strong irrational nonlinear restoring forces, proposed recently by Han et al. [2012]. The equilibrium stabilities of multiple snap-through buckling system under static loading are analyzed.
Qingjie Cao, Y. W. Han, T. W. Liang, Marian Wiercigroch, Sergey Piskarev   +4 more
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Buckling of Cooling-Tower Shells: Bifurcation Results

Journal of the Structural Division, 1975
This paper describes studies of bifurcation buckling of hyperboloids used for large-scale cooling towers. Those studies include the effects of flexible supports, combined loadings from wind, dead weight, and temperature, shell cracking, different variations in the wind pressure distribution, and changes in the shell thickening.
Peter P. Cole, John F. Abel, David P. Billington   +2 more
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Plastic Bifurcation Buckling of Toroidal Shells

Journal of the Engineering Mechanics Division, 1979
The buckling characteristics of shells with double curvature is an important design consideration of such structures. Aircraft structural components are commonly of the double curvature type. Classical elastic buckling of toroidal shell segments with positive and negative Gaussian curvatures under pressure loading is given by Stein and McElmann.
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Bifurcations, catastrophes and chaos in a pre-buckled beam

International Journal of Non-Linear Mechanics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramu, Anantha S, Sankar, TS, Ganesan, R
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Analysis of post‐buckling branches at multiple symmetric bifurcations

International Journal for Numerical Methods in Engineering, 2001
AbstractA method to analyse and solve symmetric bifurcations by establishing the bifurcation equations using an asymptotic expansion method is presented. The bifurcation equations are obtained using a decomposition of the spaces by means of the theory of Lyapunov–Schmidt. To solve the bifurcation equations an asymptotic expansion method along the lines
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Bifurcation buckling eigenvector characteristics for structures exhibiting buckling mode interactions

Computer Methods in Applied Mechanics and Engineering, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Periodic Motions and Bifurcation Trees in a Buckled, Nonlinear Jeffcott Rotor System

International Journal of Bifurcation and Chaos, 2015
In this paper, analytical solutions for period-m motions in a buckled, nonlinear Jeffcott rotor system are obtained. This nonlinear Jeffcott rotor system with two-degrees of freedom is excited periodically from the rotor eccentricity. The analytical solutions of period-m solutions are developed, and the corresponding stability and bifurcation are also
Jianzhe Huang, Albert C. J. Luo
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Bifurcation theory applied to buckling states of a cylindrical shell

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1995
Inextensible elastic tubes are subjected to a uniform external pressure. Their stability is analysed on the basis of the Lyapunov-Schmidt decomposition and the bifurcation theorem of simple multiplicity. Nontrivial solutions have been found for the critical values of pressure.
J. Chaskalovic, S. Naili
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Bifurcation Criterion and Plastic Buckling of Plates and Columns

Journal of the Aeronautical Sciences, 1950
If a bifurcation of equilibrium paths occurs as the loading is varied on a conservative system, the preferred path is usually obtained by use of a stability criterion. However, even if the definition of stability is modified so as no longer to depend on the existence of a potential energy function, a stability criterion may not be useful if the system ...
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Bifurcation and Buckling in Structures

2021
Kiyohiro Ikeda, Kazuo Murota
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