Title of article
Nonlinear Vibration of Functionally Graded Cylindrical Shells under Radial Harmonic Load
Author/Authors
Tavakolian, M. k.n.toosi university of technology - Centre of Excellence for Research in Advanced Materials and Structures, Faculty of Mechanical Engineering, تهران, ايران , Jafari, A.A. k.n.toosi university of technology - Centre of Excellence for Research in Advanced Materials and Structures, Faculty of Mechanical Engineering, تهران, ايران , Khalili, S.M.R. k.n.toosi university of technology - Centre of Excellence for Research in Advanced Materials and Structures, Faculty of Mechanical Engineering, تهران, ايران
From page
20
To page
34
Abstract
In this paper, the nonlinear vibration of functionally graded (FGM) cylindrical shells subjected to radial harmonic excitation is investigated. The nonlinear formulation is based on a Donnel s nonlinear shallow-shell theory, in which the geometric nonlinearity takes the form of von Karman strains. The Lagrange equations of motion were obtained by an energy approach. In order to reduce the system to finite dimensions, the middle surface displacements were expanded by using trial functions. These functions were expressed in terms of Fourier series containing linear mode shapes, which were obtained from free vibration analysis. The large amplitude response and amplitude frequency curves of shell were computed by using numerical method for both linear and nonlinear analysis.
Keywords
nonlinear vibration , functionally graded , harmonic load
Journal title
Iranian Journal of Mechanical Engineering Transactions of the ISME
Journal title
Iranian Journal of Mechanical Engineering Transactions of the ISME
Record number
2570779
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