Deshui Xu, Jingtao Du^*, Yuhao Zhao

Sound & Vibration, Vol.53, No.2, pp. 16-28, 2019, DOI:10.32604/sv.2019.04033

Abstract In this paper, an accurate series solution for the longitudinal vibration analysis of elastically coupled nanorods system is established, in which artificial springs are introduced to simulate such general coupling and boundary conditions. Energy formulation is derived for the description of axial dynamics of multiple coupled nanorods based on Eringen nonlocal elasticity. For each nanorod component, its longitudinal vibration displacement function is invariantly assumed as the superposition of Fourier series and boundary smoothed supplementary polynomials, with the aim to make all the spatial differential sufficiently continuous across each rod. All the unknown coefficients are determined… More >

Yanbin Wang¹, Deli Gao¹, Jun Fang¹

CMES-Computer Modeling in Engineering & Sciences, Vol.111, No.4, pp. 357-373, 2016, DOI:10.3970/cmes.2016.111.357

Abstract This paper is concerned with the problem of longitudinal vibration of a 3,000 m long disconnected drilling riser during installation and hangoff operation. The natural frequency, amplitude of vibration displacement and vibration force of longitudinal vibration have been determined with consideration of the damping effect of the sea water. Results show the natural frequency of riser under these two situations are both decrease with the increase of water depth. The natural frequency of riser in installation operation is bigger than that in hangoff operation. The vibration displacement in hangoff configuration is bigger than that in More >

V.G.Yakhno¹, D. Ozdek²

CMES-Computer Modeling in Engineering & Sciences, Vol.85, No.2, pp. 157-176, 2012, DOI:10.3970/cmes.2012.085.157

Abstract The present paper describes computation of the time-dependent Green's function for the equations of longitudinal vibration of a multi-step rod with a piecewise constant varying cross-section. This computation is based on generalization of the Fourier series expansion method. The time-dependent Green's function is derived in the form of the Fourier series. The basic functions of this series are eigenfunctions of an ordinary differential equation with boundary and matching conditions. Constructing the eigenvalues and eigenfunctions of this differential equation and then derivation of the Fourier coefficients of the Green's function are main steps of the method. More >