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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 26
ADVANCES IN COMPUTATIONAL MECHANICS Edited by: M. Papadrakakis and B.H.V. Topping
Paper II.3
Location of Bifurcation Points and Branching Analysis in Generalized Coordinates K.A. Lazopoulos
Engineering Sciences Department, Section of Mechanics, National Technical University of Athens, Athens, Greece K.A. Lazopoulos, "Location of Bifurcation Points and Branching Analysis in Generalized Coordinates", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Computational Mechanics", Civil-Comp Press, Edinburgh, UK, pp 41-44, 1994. doi:10.4203/ccp.26.2.3
Abstract
In this paper branching analysis of elastic
systems expressed in generalized coordinates
will be discussed. The critical points
and the post-critical paths will be
described for simple but especially for
double branching problems without requiring
elimination of passive coordinates or
orthogonalization of the energy function.
The method is an indispensable tool for
studies of stability problems through the
finite element technique.
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