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Bifurcation Criterion and Plastic Buckling of Plates and Columns
Journal of the Aeronautical Sciences, 1950If 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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Response Variability of Structures Subjected to Bifurcation Buckling
Journal of Engineering Mechanics, 1992The 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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Stability, Bifurcation and Postbuckling Analysis
1998Liapunov theory is first presented and discrete mechanical systems are in particular analysed. Then buckling and postbuckling analysis of continuous mechanical systems due to Koiter are discussed in some detail following Budiansky presentation. Finally, the influence of multiple interactive buckling modes on postbuckling behaviour is analysed in some ...
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An Introduction to Compound and Coupled Buckling and Dynamic Bifurcations
1998This Part I is a general introduction to the subject matter of the Volume, spanning over some of the main « theoretical aspects ».
G. Augusti, V. Sepe, A. Paolone
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Bifurcation of locally buckled channel columns
2012The report derives the governing equations for the fundamental and bifurcated states of members with singly symmetric cross-sections that locally buckle in the fundamental state. The members are subject to pure compression and assumed to be geometrically perfect in the overall sense. The method of analysis uses elastic and inelastic geometric nonlinear
Young, B, Rasmussen, KJR
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Secondary bifurcations and localisation in a three-dimensional buckling model
Zeitschrift f�r angewandte Mathematik und Physik, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bifurcation buckling for general shells
13th Structures, Structural Dynamics, and Materials Conference, 1972B. ALMROTH, F. BROGAN
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A lower bound on bifurcation buckling of viscoplastic structures
1992The buckling of structures of elastic-viscoplastic materials is a stability problem that does not admit a realistic bifurcation formulation in the classical manner. In the absence of imperfections and inertial effects, the standard bifurcation criterion leads only to elastic buckling since an instantaneous jump in strain rate would develop at the ...
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