Nonlinear vibration of a beam

DOI10.1016/0362-546X(89)90002-3zbMath0698.35040OpenAlexW2060270873MaRDI QIDQ3475656

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Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90002-3

zbMATH Keywords

nonlinear vibrationbeam equationdual variational methodmountain pass Lemma

Mathematics Subject Classification ID

Related Items (10)

Nonlinear dynamic analysis of Timoshenko beams by BEM. I: Theory and numerical implementation ⋮ Existence of infinitely many solutions of a beam equation with non-monotone nonlinearity ⋮ Periodic solutions for an asymptotically linear wave equation with resonance ⋮ Free vibrations for an asymmetric beam equation. II. ⋮ Nontrivial critical points for asymptotically quadratic functions ⋮ The periodic boundary value problem for semilinear elastic beam equations: the resonance case ⋮ Free vibrations for an asymmetric beam equation ⋮ Periodic solutions of superlinear beam and membrane equations with perturbations from symmetry ⋮ Computations of critical groups and applications to asymptotically linear wave equation and beam equation ⋮ Existence of periodic solution for a class of beam equation via variational methods

Cites Work

• Dual variational methods in critical point theory and applications
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Nontrivial periodic solutions of a nonlinear beam equation
• Periodic solutions of hamiltonian systems
• Unnamed Item

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