Periodic and nonperiodic modes of postbuckling and nonlinear vibration of beams attached to nonlinear foundations

DOI10.1016/j.apm.2019.05.026zbMath1481.74249OpenAlexW2945624971WikidataQ127817769 ScholiaQ127817769MaRDI QIDQ1985116

Yanyan Li

Publication date: 7 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.05.026

zbMATH Keywords

closed form solutionnonlinear foundationdifferential-integral quadrature methodperiodic and nonperiodic imperfectionspostbuckling and nonlinear vibration

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Vibrations in dynamical problems in solid mechanics (74H45)

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Cites Work

• On a Moser-Steffensen type method for nonlinear systems of equations
• Free vibration characteristics of a functionally graded beam by finite element method
• Exact solution and stability of postbuckling configurations of beams
• Non-linear vibrations of doubly curved shallow shells
• A study of the nonlinear response of a resonant microbeam to an electric actuation
• An exact solution for vibrations of postbuckled microscale beams based on the modified couple stress theory
• Nonlinear modeling and analysis of electrically actuated viscoelastic microbeams based on the modified couple stress theory
• Imperfection sensitivity of thermal post-buckling behaviour of functionally graded carbon nanotube-reinforced composite beams
• Exact modes for post-buckling characteristics of nonlocal nanobeams in a longitudinal magnetic field
• Postbuckling instability of nonlinear nanobeam with geometric imperfection embedded in elastic foundation
• Nonlinear forced vibration analysis of postbuckled beams

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