A perturbation method for nonlinear vibrations of imperfect structures: application to cylindrical shell vibrations

DOI10.1016/j.ijsolstr.2007.07.007zbMath1167.74442OpenAlexW2075126714MaRDI QIDQ833989

Eelco L. Jansen

Publication date: 14 August 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2007.07.007

zbMATH Keywords

perturbation methodnonlinear vibrationshell structures

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) Shells (74K25)

Related Items (8)

A FINITE ELEMENT-BASED PERTURBATION METHOD FOR NONLINEAR FREE VIBRATION ANALYSIS OF COMPOSITE CYLINDRICAL SHELLS ⋮ Large amplitude vibration of FG-CNTRC laminated cylindrical shells with negative Poisson's ratio ⋮ A nonlinear reduced order model with parametrized shape defects ⋮ Internal resonances in nonlinear vibrations of a laminated circular cylindrical shell ⋮ L-P perturbation solution of nonlinear free vibration of prestressed orthotropic membrane in large amplitude ⋮ Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments ⋮ Nonlinear vibrations and stability of laminated shells using a modified first-order shear deformation theory ⋮ Nonlinear vibration of functionally graded fiber-reinforced composite laminated cylindrical shells in hygrothermal environments

Cites Work

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• Koiter's stability theory in a computer-aided engineering (CAE) environment
• Non-stationary flexural vibration behaviour of a cylindrical shell
• Effect of the geometry on the non-linear vibration of circular cylindrical shells
• Nonlinear free vibrations of elastic structures
• Nonlinear Vibration of Cylindrical Shells
• Buckling of Imperfect Anisotropic Circular Cylinders under Combined Loading
• Effect of a nonlinear prebuckling state on the postbuckling behaviorand imperfect on sensitivity of elastic structures.

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