Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique

DOI10.1007/s00707-021-03027-zzbMath1492.74047OpenAlexW3184292597MaRDI QIDQ2234917

Yaser Kiani, M. Reza Eslami, Hadi Babaei

Publication date: 19 October 2021

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-021-03027-z

zbMATH Keywords

functionally graded materialuniform temperature fieldcarbon nanotube-reinforced composite beammodified mixture rule

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) 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) Composite and mixture properties (74E30) Thermal effects in solid mechanics (74F05)

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Cites Work

• Nonlinear free vibration of temperature-dependent sandwich beams with carbon nanotube-reinforced face sheets
• An efficient standard plate theory
• Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories
• Free vibration of carbon nanotube reinforced composite plate on point supports using Lagrangian multipliers
• Rigorous amendment of Vlasov's theory for thin elastic plates on elastic Winkler foundations, based on the principle of virtual power
• Buckling and postbuckling of beams, plates, and shells
• Imperfection sensitivity of thermal post-buckling behaviour of functionally graded carbon nanotube-reinforced composite beams
• Thermal buckling and post-buckling analysis of functionally graded beams based on a general higher-order shear deformation theory
• A principle of virtual power-based beam model reveals discontinuities in elastic support as potential sources of stress peaks in tramway rails
• A Two‐Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells
• NUMERICAL ANALYSIS ON NONLINEAR FREE VIBRATION OF CARBON NANOTUBE REINFORCED COMPOSITE BEAMS

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