Existence and uniqueness of nonlinear deflections of an infinite beam resting on a non-uniform nonlinear elastic foundation

DOI10.1186/1687-2770-2012-5zbMath1275.34042OpenAlexW2155044110WikidataQ59271588 ScholiaQ59271588MaRDI QIDQ361194

Taek Soo Jang, Sung Woo Choi

Publication date: 28 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-5

zbMATH Keywords

contractionnonlinearelastic foundationfourth-order ordinary differential equationBanach fixed point theoremnon-uniforminfinite beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Other nonlinear integral equations (45G10) Applications of operator theory to differential and integral equations (47N20) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (7)

Existence and uniqueness of finite beam deflection on nonlinear non-uniform elastic foundation with arbitrary well-posed boundary condition ⋮ An integral equation formalism for solving the nonlinear Klein-Gordon equation ⋮ A numerical approach to static deflection analysis of an infinite beam on a nonlinear elastic foundation: one-way spring model ⋮ Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation ⋮ A general method for analyzing moderately large deflections of a non-uniform beam: an infinite Bernoulli-Euler-von Kármán beam on a nonlinear elastic foundation ⋮ Unnamed Item ⋮ Spectral analysis of the integral operator arising from the beam deflection problem on elastic foundation. II: Eigenvalues

Cites Work

• Static analysis of an infinite beam resting on a tensionless Pasternak foundation
• Postbuckling behavior of infinite beams on elastic foundations using Koiter's improved theory
• Dynamic behavior of a semi-infinite elastic-hardening-softening beam
• Deflection of nonuniform beams resting on a nonlinear elastic foundation
• Analysis of elastic beams on nonlinear foundations

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