Simulation of flexural waves in drill pipes including the effects of the gravitational field

Carcione, José M.; Poletto, Flávio; Pinna, Giorgia

doi:10.1016/j.wavemoti.2012.09.003

Cited by 8 publications

(2 citation statements)

References 7 publications

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“…In the above wavelet transform procedure, the approximation coefficients of a given signal are first obtained by using a numerical version of Eqn. (6). The vector of approximation coefficients, which has the same length as the original signal, is multiplied by the inverse of the eigenvector matrix Φ in order to obtain the corresponding values in the defined wavelet-domain.…”

Section: Spectrally-uncoupled Wavelet Transformmentioning

confidence: 99%

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Alternating wavelet-time finite element method: Modeling and analysis of nonlinear wave propagation in one and two-dimensional waveguides

Dick

2016

Journal of Sound and Vibration

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In this paper, a novel method named the alternating wavelet-time finite element method (AWT-FEM) is proposed for studying elastic wave propagation in nonlinear structures. An alternating iterative procedure between the time-domain and a wavelet-domain combined with the spectral finite element method (SFEM) is employed to solve wave equations with general nonlinearities. The advantages of the proposed method are (1) the potential to provide high fidelity results for impacts with high frequency content through the use of the spectral finite element method; (2) nonlinear structures with physically realistic boundary conditions can easily be studied by circumventing wrap-around issues associated with Fourier-based methods;(3) the parallel computing compatible framework and the semi-analytical nature of SFEM make it more computationally efficient for nonlinear systems modeled with structural components. Simulations using the proposed method are conducted to demonstrate its applicability to study nonlinear wave propagation in one-dimensional and two-dimensional systems.

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Section: Spectrally-uncoupled Wavelet Transformmentioning

confidence: 99%

“…Drill strings can be modeled as long geometrically nonlinear beams with various cross sections and material properties [5]. Elastic waves caused by impacts with the wellbore and stress waves in the mud flow can be used to control the stability [6]. A third example is in the dynamics of high-speed and high-precision parallel robots [7].…”

Section: Introductionmentioning

confidence: 99%