Nonlinear vibration of beams and rectangular plates
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Publication:2395725
DOI10.1007/BF01602658zbMath0133.19101MaRDI QIDQ2395725
Publication date: 1964
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Related Items (68)
Effect of nonlinear constitutive equation on vibrations of beams ⋮ On stability of axisymmetric forced vibration of imperfect cylindrical shells ⋮ Existence, uniqueness and uniform decay for the nonlinear beam degenerate equation with weak damping ⋮ On the whole spectrum of Timoshenko beams. 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II: Modeling and analysis ⋮ Nonlinear responses of a magnetoelastic beam in a step-pulsed magnetic field ⋮ Kirchhoff elliptic problems with asymptotically linear or superlinear nonlinearities ⋮ Exponential decay to the degenerate nonlinear coupled beams system with weak damping ⋮ Unnamed Item ⋮ Multiple solutions for a critical Kirchhoff system ⋮ Attractors and their properties for a class of nonlocal extensible beams ⋮ On the stochastic beam equation driven by a non-Gaussian Lévy process ⋮ Infinite Systems of Nonlinear Oscillation Equations Related to the String ⋮ Attractor for a model of extensible beam with damping on time-dependent space ⋮ Multiple solutions for a Kirchhoff equation with critical growth ⋮ Explosive solutions of stochastic nonlinear beam equations with damping ⋮ Energy decay for the strongly damped nonlinear beam equation and its applications in moving boundary ⋮ Oscillations of a nonlinearly damped extensible beam ⋮ Global attractor for a model of extensible beam with nonlinear damping and source terms ⋮ GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION ⋮ Stochastic nonlinear beam equations ⋮ Long-time behavior of a model of extensible beams with nonlinear boundary dissipations ⋮ Decay estimate for a viscoelastic plate equation with strong time-varying delay ⋮ Nonlinear stochastic partial differential equations of hyperbolic type driven by Lévy-type noises ⋮ The global attractor for a class of extensible beams with nonlocal weak damping ⋮ Global solution and asymptotic behavior for the variable coefficient beam equation with nonlinear damping ⋮ Existence and multiplicity of solutions for a Kirchhoff system with critical growth ⋮ Time-dependent global attractor for extensible Berger equation ⋮ Decay estimates for the Cauchy problem for the damped extensible beam equation ⋮ Remarks on the beam evolution equations in noncylindrical domains ⋮ On the solutions for an extensible beam equation with internal damping and source terms ⋮ On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models ⋮ On a new class of nonlinear wave equations ⋮ Attractors and their stability with respect to rotational inertia for nonlocal extensible beam equations ⋮ Free vibrations and dynamic buckling of the extensible beam ⋮ Infinite systems of nonlinear oscillation equations ⋮ Initial-boundary value problems for an extensible beam ⋮ Existence, uniqueness and stabilization for a nonlinear plate system with nonlinear damping ⋮ Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models ⋮ COMPARISON OF VIBRATION CHARACTERISTICS FOR POSTBUCKLED FGM PLATES WITH PIEZOELECTRIC FIBER REINFORCED COMPOSITE ACTUATORS ⋮ Unnamed Item ⋮ Ground state solutions for asymptotically periodic nonlinearities for Kirchhoff problems ⋮ General decay for a nonlinear beam equation with weak dissipation ⋮ AN H1 -GALERKIN MIXED FINITE ELEMENT APPROXIMATION OF A NONLOCAL HYPERBOLIC EQUATION ⋮ Singular limits in the Cauchy problem for the damped extensible beam equation ⋮ Decay rate estimates for a weak viscoelastic beam equation with time-varying delay ⋮ Similarity reductions of a nonlinear model for vibrations of beams
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