STEADY STATES OF THE HINGED EXTENSIBLE BEAM WITH EXTERNAL LOAD

DOI10.1142/S0218202510004143zbMath1220.34035OpenAlexW2155346563MaRDI QIDQ5305539

Claudio Giorgi, Vittorino Pata, Michele Coti Zelati

Publication date: 22 March 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202510004143

zbMATH Keywords

bucklingsteady state solutionshinged extensible beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation and buckling (74G60)

Related Items (16)

LONG-TERM DYNAMICS OF THE COUPLED SUSPENSION BRIDGE SYSTEM ⋮ Long-term damped dynamics of the extensible suspension bridge ⋮ Regular global attractors of type III thermoelastic extensible beams ⋮ Steady states and nonlinear buckling of cable-suspended beam systems ⋮ Large displacements and rotations of a local linear elastic rod ⋮ One solution for nonlocal fourth order equations ⋮ On the viscoelastic coupled suspension bridge ⋮ A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes ⋮ Finite element discretization of a nonlinear thermoelastic beam model with penalized unilateral contact ⋮ Steady-state solutions for a suspension bridge with intermediate supports ⋮ Modeling and steady state analysis of the extensible thermoelastic beam ⋮ Buckling and longterm dynamics of a nonlinear model for the extensible beam ⋮ Global attractors for the coupled suspension bridge system with temperature ⋮ Global attractors for the extensible thermoelastic beam system ⋮ A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling ⋮ Steady states of elastically-coupled extensible double-beam systems

Cites Work

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• From the classical to the generalized von Kármán and Marguerre--von Kármán equations
• A geometrical nonlinear correction to the Timoshenko beam equation.
• Free vibrations and dynamic buckling of the extensible beam
• Stability theory for an extensible beam
• Dynamic Buckling of a Nonlinear Timoshenko Beam
• Linear and Nonlinear Structural Mechanics
• Exponential attractors for extensible beam equations
• On the extensible viscoelastic beam

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