Post-buckling and nonlinear free vibration analysis of geometrically imperfect functionally graded beams resting on nonlinear elastic foundation

DOI10.1016/j.apm.2013.03.037zbMath1438.74083OpenAlexW1976260850MaRDI QIDQ1791476

Hessameddin Yaghoobi, Mohsen Torabi

Publication date: 10 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.apm.2013.03.037

zbMATH Keywords

post-bucklingnonlinear vibrationimperfectionfunctionally graded beamsquadratic and cubic nonlinearity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Explicit solutions, first integrals of ordinary differential equations (34A05) Numerical and other methods in solid mechanics (74S99)

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Cites Work

• Nonlinear free vibration and post-buckling analysis of functionally graded beams on nonlinear elastic foundation
• Large amplitudes free vibrations and post-buckling analysis of unsymmetrically laminated composite beams on nonlinear elastic foundation
• Exact solution and stability of postbuckling configurations of beams
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• An analytical study on the nonlinear vibration of functionally graded beams
• On the homotopy analysis method for non linear vibration of beams
• Non-linear vibration analysis of beams by a spline-based differential quadrature method

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