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- W2360329112 abstract "The sub-harmonic resonance of an axially accelerating nonlinear viscoelastic Rayleigh beam was investigated via an approximate analytical method and verified via the differential quadrature method.The mathematical model of transverse vibration of an infinitesimal beam was established with variation calculus.The axial speed was characterized as a simple harmonic variation about the constant mean speed.The solvable conditions of parametric vibration for sub-harmonic resonance were established via the method of multiple scales.Therefore,the steady state periodic response was presented for an accelerating viscoelastic Rayleigh beam with simple supports boundary conditions.With numerical examples the effects of the nonlinear coefficient and the viscoelastic coefficient on the steady state response were studied individually.The differential governing equation for transverse vibration of an axially moving slender Rayleigh beam was numerically solved via the differential quadrature method.The numerical calculations confirmed the analytical results.Numerical examples demonstrated that the approximate analytical results have rather high precision." @default.
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- W2360329112 date "2012-01-01" @default.
- W2360329112 modified "2023-09-23" @default.
- W2360329112 title "Steady state response of nonlinear vibration of an axially accelerating viscoelastic Rayleigh beam" @default.
- W2360329112 hasPublicationYear "2012" @default.
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