Results 141 to 150 of about 884 (181)

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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Buckling Paradox And Anisotropic Plastic Plate Bifurcation [PDF]

Progress in Canadian Mechanical Engineering, 2018
Anisotropic elastic/plastic plate bifurcation is investigated. The pre-bifurcation loading consists of biaxial stresses along ξν axes parallel to the sides of a simply supported rectangular plate: ννξξσασ=,11α−≤≤. The ξν axes are at an angle βwith the xy principal axes of anisotropy.
exaly   +3 more sources

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
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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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Response Variability of Structures Subjected to Bifurcation Buckling

Journal of Engineering Mechanics, 1992
The paper presents a new analytical method for the investigation of the response variability of structures subjected to bifurcation buckling. The method is applied to the buckling of the axialy compressed thin cylindrical shell. The study demonstrates the conceptual simplicity of the method, its numerical efficiency, and its capability to account for ...
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Introduction to Buckling and Bifurcation

2021
Kiyohiro Ikeda, Kazuo Murota
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