Free vibrations and dynamic buckling of the extensible beam

DOI10.1016/0022-247X(70)90094-6zbMath0187.04803MaRDI QIDQ2536990

R. W. Dickey

Publication date: 1970

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

integral equations, integral transforms

Related Items (80)

Global existence of solutions for a class of thermoelastic plate systems ⋮ Existence, uniqueness and uniform decay for the nonlinear beam degenerate equation with weak damping ⋮ On a quasilinear wave equation with memory ⋮ Parameter identification problems for an extensible beam equation ⋮ Analysis of dynamic nonlinear thermoviscoelastic beam problems ⋮ Energy decay of solutions for an extensible beam equation with a weak nonlinear dissipation ⋮ STEADY STATES OF THE HINGED EXTENSIBLE BEAM WITH EXTERNAL LOAD ⋮ Stability and bifurcations on a finite time interval in variational inequalities ⋮ An existence and uniqueness theorem for wave equations with scalar nonlinearities ⋮ Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping ⋮ An orthotropic plate model for decks of suspension bridges ⋮ Regular solutions of a nonlinear model for vibrations of beams in unbounded domains ⋮ Existence, uniqueness and asymptotic behavior for solutions of the nonlinear beam equation ⋮ Long-term damped dynamics of the extensible suspension bridge ⋮ Regular global attractors of type III thermoelastic extensible beams ⋮ Low regularity global solutions for nonlinear evolution equations of Kirchhoff type ⋮ Energy transfer between modes in a nonlinear beam equation ⋮ Remarks on thin quasilinear plates with mixed boundary conditions ⋮ Existence results of positive solutions for Kirchhoff type biharmonic equationvia bifurcation methods ⋮ Blow-up of solutions to the fourth-order equation with variable-exponent nonlinear weak damping ⋮ Long-time dynamics of an extensible plate equation with thermal memory ⋮ On a beam model with degenerate nonlocal nonlinear damping ⋮ Dynamic Stability of Equilibrium States of the Extensible Beam ⋮ On a nonlinear boundary problem for thermoelastic coupled beam equations with memory term ⋮ One solution for nonlocal fourth order equations ⋮ Undamped nonlinear beam excited by additive \(L^{2}\)-regular noise ⋮ Existence results and numerical solutions for a beam equation with nonlinear boundary conditions. ⋮ Unique continuation for solutions of a timoshenko's equation ⋮ Exponential decay to the degenerate nonlinear coupled beams system with weak damping ⋮ Unnamed Item ⋮ Measure-dependent stochastic nonlinear beam equations driven by fractional Brownian motion ⋮ A control problem for clamped extensible beams ⋮ Attractors and their properties for a class of nonlocal extensible beams ⋮ On the stochastic beam equation driven by a non-Gaussian Lévy process ⋮ A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes ⋮ On the existence theory for nonlinear Schrödinger and wave equations without Lipschitz-estimates ⋮ Regular solutions of wave equations containing nonlinearities of the type L Φ L ⋮ Longtime behavior for an extensible beam equation with rotational inertia and structural nonlinear damping ⋮ Explosive solutions of stochastic nonlinear beam equations with damping ⋮ 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Cites Work

• Nonlinear vibration of beams and rectangular plates
• Infinite Systems of Nonlinear Oscillation Equations Related to the String
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Unnamed Item
• Unnamed Item

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