Calculation of the Stability Index in Parameter-Dependent Calculus of Variations Problems: Buckling of a Twisted Elastic Strut

DOI10.1137/S1111111101396622zbMath1008.49013OpenAlexW1973653280MaRDI QIDQ4785600

Robert S. Manning, Kathleen A. Hoffman, Randy C. Paffenroth

Publication date: 5 January 2003

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1111111101396622

zbMATH Keywords

elastic rodsconjugate pointsbucklinganisotropylocal minimaequilibriastability indexJacobi equationisoperimetric constraintsparameter continuationEuler-Lagrange ODE

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Parameter dependent boundary value problems for ordinary differential equations (34B08) Optimality conditions for problems involving ordinary differential equations (49K15) Numerical bifurcation problems (65P30)

Related Items (5)

Stability analysis of curvilinear configurations of an inextensible elastic rod with clamped ends ⋮ Stability of anisotropic, naturally straight, helical elastic thin rods ⋮ A generalized computational approach to stability of static equilibria of nonlinearly elastic rods in the presence of constraints ⋮ CLASSIFICATION OF THE SPATIAL EQUILIBRIA OF THE CLAMPED ELASTICA: NUMERICAL CONTINUATION OF THE SOLUTION SET ⋮ Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads

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