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- W2899003847 abstract "Abstract The nonlinear vibrations of functionally graded (FG) cantilevers is investigated. The FG system undergoes large-amplitude oscillations as one end is free to move both transversely and axially; this causes large vibrations due to inertial and curvature nonlinear terms in the equation of motion. The FG properties change gradually in the thickness direction according to the Mori-Tanaka method. The constitutive relations are built and Hamilton’s energy/work principle is used giving coupled continuous models. The centreline extensibility is neglected which gives an integro-nonlinear model of the FG system. A reduction version is obtained using Galerkin’s technique. Numerical integrations for frequency/displacement responses are performed using a continuation technique. A dynamic balance between the FG-system nonlinearities gives a vibration of weak softening-type." @default.
- W2899003847 created "2018-11-09" @default.
- W2899003847 creator A5065881892 @default.
- W2899003847 date "2019-02-01" @default.
- W2899003847 modified "2023-09-25" @default.
- W2899003847 title "Nonlinear oscillations of FG cantilevers" @default.
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- W2899003847 doi "https://doi.org/10.1016/j.apacoust.2018.08.014" @default.
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