On the use of a segmental shooting technique for multiple solutions of planar elastica problems

DOI10.1016/0045-7825(93)90162-QzbMath0847.73073OpenAlexW1995861539MaRDI QIDQ1912152

Yanyan Li

Publication date: 20 October 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90162-q

zbMATH Keywords

convergenceboundary value problemcantileverssemi-circular archessequence of initial value problems

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Related Items (5)

Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach ⋮ Large deformations of Timoshenko and Euler beams under distributed load ⋮ Finite difference scheme for large-deflection analysis of non-prismatic cantilever beams subjected to different types of continuous and discontinuous loadings ⋮ A simple method for determining large deflection states of arbitrarily curved planar elastica ⋮ Equilibria of a clamped Euler beam (Elastica) with distributed load: Large deformations

Cites Work

• A unilateral contact problem with the heavy elastica
• Stability and equilibrium of the straight and curved elastica-finite element computation
• Generalized shooting method for elastic stability analysis and optimization of structural members
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