Inverse problem of elastica of a variable-arc-length beam subjected to a concentrated load

DOI10.1007/s10409-005-0062-6zbMath1200.74068OpenAlexW1966719061MaRDI QIDQ608647

Xiaowei Zhang, Jia-ling Yang

Publication date: 25 November 2010

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-005-0062-6

zbMATH Keywords

inverse problemelasticaquasi-Newton methodvariable-arc-length beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Inverse problems in equilibrium solid mechanics (74G75)

Related Items (9)

Doubly periodic patterns of modulated hydrodynamic waves: exact solutions of the Davey-Stewartson system ⋮ Large deflection of flexible tapered functionally graded beam ⋮ Elastic-plastic behavior of a semicircular frame being pressed against a rigid plane ⋮ A bottom‐up optimization method for inverse design of two‐dimensional clamped‐free elastic rods ⋮ Elliptic integral solution of the extensible elastica with a variable length under a concentrated force ⋮ Sign problems in elliptic integral solution of planar elastica theory ⋮ Large deformation and stability of an extensible elastica with an unknown length ⋮ Effect of material nonlinearity on large deflection of variable-arc-length beams subjected to uniform self-weight ⋮ A local pseudo arc-length method for hyperbolic conservation laws

Cites Work

• Unnamed Item
• Large deflections of cantilever beams of non-linear elastic material under a combined loading
• Post-buckling analysis of slender elastic rods subjected to terminal forces
• Large deflections of an end supported beam subjected to a point load
• Postbuckling of bilaterally constrained rectangular thin plates.
• Second-order approximation solution of nonlinear large deflection problems of Yongjiang railway bridge in Ningbo
• Elliptic integral solutions of variable-arc-length elastica under an inclined follower force
• Large deflection of cantilever beams
• Behavior of variable length elastica with frictional support under follower force.

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