Bifurcation analyses in the parametrically excited vibrations of cylindrical panels

DOI10.1023/A:1008396603655zbMath0933.74030MaRDI QIDQ1288712

K. Appert

Publication date: 29 March 2000

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

zbMATH Keywords

computer algebrabifurcation diagramsBubnov-Galerkin methoddynamical system theorymodal interactionlow-dimensional modelsshallow cylindrical panelsDonnell equationsnumerical continuation techniques

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (6)

Periodic, quasi-periodic, and chaotic geometrically nonlinear forced vibrations of a shallow cantilever shell ⋮ Nonlinear modes of cylindrical panels with complex boundaries. \(R\)-function method ⋮ SHILNIKOV-TYPE MULTIPULSE ORBITS AND CHAOTIC DYNAMICS OF A PARAMETRICALLY AND EXTERNALLY EXCITED RECTANGULAR THIN PLATE ⋮ Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond ⋮ Local and global nonlinear dynamics of a parametrically excited rectangular symmetric cross-ply laminated composite plate ⋮ FURTHER STUDIES ON NONLINEAR OSCILLATIONS AND CHAOS OF A SYMMETRIC CROSS-PLY LAMINATED THIN PLATE UNDER PARAMETRIC EXCITATION

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