Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation

DOI10.3934/math.2021619OpenAlexW3185848007MaRDI QIDQ2671100

Sung Woo Choi

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021619

zbMATH Keywords

beameigenvaluedeflectionspectrumintegral operatorcharacteristic equationeigenfunctionelastic foundationblock-diagonal

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Integral operators (47G10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Existence and uniqueness of nonlinear deflections of an infinite beam resting on a non-uniform nonlinear elastic foundation
• Static analysis of an infinite beam resting on a tensionless Pasternak foundation
• Existence and uniqueness of finite beam deflection on nonlinear non-uniform elastic foundation with arbitrary well-posed boundary condition
• Spectral analysis of the integral operator arising from the beam deflection problem on elastic foundation. II: Eigenvalues
• ON POSITIVENESS AND CONTRACTIVENESS OF THE INTEGRAL OPERATOR ARISING FROM THE BEAM DEFLECTION PROBLEM ON ELASTIC FOUNDATION
• Deflection of nonuniform beams resting on a nonlinear elastic foundation
• Analysis of elastic beams on nonlinear foundations

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