A new efficient method to evaluate exact stiffness and mass matrices of non-uniform beams resting on an elastic foundation

DOI10.1007/s00419-014-0820-7zbMath1341.74156OpenAlexW2055999908MaRDI QIDQ2511637

George C. Tsiatas

Publication date: 6 August 2014

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-014-0820-7

zbMATH Keywords

bendingWinkler foundationaxial deformationnon-uniformBernoulli-Euler beamanalog equation concept

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05)

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Cites Work

• Nonlinear analysis of non-uniform beams on nonlinear elastic foundation
• Exact analysis of beams on two-parameter elastic foundations
• Deflection of nonuniform beams resting on a nonlinear elastic foundation
• Exact static deflection of a non-uniform bernoulli-euler beam with general elastic end restraints
• Exact stiffness matrix of a nonuniform beam—I. Extension, torsion, and bending of a bernoulli-euler beam
• Influence lines for bending moments in beams on elastic foundations
• The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies

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