Analysis of post‐buckling branches at multiple symmetric bifurcations
Copyright policy )Analysis of post‐buckling branches at multiple symmetric bifurcations
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 of Koiter is applied. The expansion is presented in a form suited for implementation in a finite element context. The present paper is focused on the treatment of symmetric multiple bifurcations where new forms of the bifurcation equations are established. The accuracy of the method is verified with three examples. Copyright © 2001 John Wiley & Sons, Ltd.
- Lund University Sweden
Koiter lines, asymptotic expansion method, Finite element methods applied to problems in solid mechanics, Bifurcation and buckling, finite element, Lyapunov-Schmidt theory, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, symmetric multiple bifurcations, bifurcation equations
Koiter lines, asymptotic expansion method, Finite element methods applied to problems in solid mechanics, Bifurcation and buckling, finite element, Lyapunov-Schmidt theory, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, symmetric multiple bifurcations, bifurcation equations
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