Abstract
AbstractA four parameter unfolding of the von Karman plate equations is used to study sudden qualitative changes (jumps) in the buckled deflection surface of a rectangular plate if parameters are varied. For the mode jumping to occur the linearized unperturbed problem has to have a double eigenvalue which leads to secondary bifurcations if small parameter perturbations are performed in the neighbourhood of the critical parameter value. As parameters we have the thrust p, the variation of the length of the plate and two types of transversal loads. Furthermore a detailed discussion is given whether the Liapunov‐Schmidt method has to be used to obtain the two dimensional algebraic system of bifurcation equations or whether a Galerkin approximation will also yield qualitatively correct bifurcation equations.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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