Asymptotic analysis of nonlinear dynamics of simply supported cylindrical shells

DOI10.1007/s11071-006-9032-1zbMath1180.74022OpenAlexW2074769947MaRDI QIDQ842071

N. E. Zubov

Publication date: 22 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-9032-1

zbMATH Keywords

stability analysiscontinuation algorithmmultiple scales methodconjugate modesnonlinear normal vibrations mode

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Shells (74K25)

Related Items (10)

Nonlinear dynamic response of a fractionally damped cylindrical shell with a three-to-one internal resonance ⋮ Nonlinear modes of vibrations for simply supported cylindrical shell with geometrical nonlinearity ⋮ Nonlinear modes of cylindrical panels with complex boundaries. \(R\)-function method ⋮ Free nonlinear oscillations of cantilever circular cylindrical shells ⋮ Nonlinear vibrations of rotating thin circular cylindrical shell ⋮ Nonlinear dynamics of one disk asymmetrical rotor supported by two journal bearings ⋮ Modeling of Nonlinear Waves in Two Coaxial Physically Nonlinear Shells with a Viscous Incompressible Fluid Between Them, Taking into Account the Inertia of its Motion ⋮ Simplified non-linear dynamical equations of circular cylindrical shells ⋮ The generalized Schamel equation in nonlinear wave dynamics of cylindrical shells ⋮ A New Approach for Studying Nonlinear Dynamic Response of a Thin Fractionally Damped Cylindrical Shell with Internal Resonances of the Order of $$\varepsilon $$

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