On the dynamics of drilling

Kaplunov, Julius; Khajiyeva, Lelya; Martyniuk, M.; Sergaliyev, Almaz

doi:10.1016/j.ijengsci.2019.103184

Cited by 5 publications

(6 citation statements)

References 23 publications

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“…Further increasing the forcing frequency ω, the system displays strong non-linear characteristics, the vibration amplitude significantly increases and periodic motion, quasi-periodic motion and chaotic motion appear at [66. 25,120]. The system again displays the phenomenon of period-doubling reverse bifurcation in the range of [70.55, 79.75].…”

Section: The Effect Of Perturbation Amplitude μ On Dynamic Characteristicsmentioning

confidence: 99%

“…Further increasing the forcing frequency ω, the system displays strong non-linear characteristics, the vibration amplitude significantly increases and periodic motion, quasi-periodic motion and chaotic motion appear at [66. 25,120] Figure 4b presents the bifurcation diagram of the forcing frequency ω at ka = 2.8 × 10 5 and kb = 2 × 10 3 in the range [40,60]. In the interval [40, 41.22], the dynamic response of the system mostly comprises quasi-periodic motion.…”

Section: The Effect Of Forcing Frequency ω On Dynamic Characteristicsmentioning

confidence: 99%

“…Modal analysis was carried out to determine the natural frequency and mode of vibration of the structure. Kapluno et al [25] proposed a multi-parameter drilling dynamics analysis method, established a free bending vibration classification, similar to the thin shell theory, and derived the related simplified equation. Liu et al [26] established the generalized lumped parameter model of the drill string system, and the causes of three coexisting states of bit sticking, stick-slip vibration and constant rotation are emphatically analyzed.…”

Section: Introductionmentioning

confidence: 99%

“…Figure5g1-g3 shows the dynamic response of the system when ω = 59.5, the observation shows that the system is in chaotic motion. Further increasing the forcing frequency ω, the system displays strong non-linear characteristics, the vibration amplitude significantly increases and periodic motion, quasi-periodic motion and chaotic motion appear at [66 25,. 120].…”

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confidence: 99%

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Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction

et al. 2021

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In this research, the non-linear dynamics of the drill string system model, considering the influence of fluid—structure coupling and the effect of support stiffness, are investigated. Using Galerkin’s method, the equation of motion is discretized into a second-order differential equation. On the basis of an improved mathematical model, numerical simulation is carried out using the Runge—Kutta integration method. The effects of parameters, such as forcing frequency, perturbation amplitude, mass ratio and flow velocity, on the dynamic characteristics of the drill string system are studied under different support stiffness coefficients, in which bifurcation diagrams, waveforms, phase diagrams and Poincaré maps of the system are provided. The results indicate that there are various dynamic model behaviors for different parameter excitations, such as periodic, quasi-periodic, chaotic motion and jump discontinuity. The system changes from chaotic motion to periodic motion through inverse period-doubling bifurcation, and the support stiffness has a significant influence on the dynamic response of the drill string system. Through in-depth study of this problem, the dynamic characteristics of the drill string can be better understood theoretically, so as to provide a necessary theoretical reference for prevention measures and a reduction in the number of drilling accidents, while facilitating the optimization of the drilling process, and provide basis for understanding the rich and complex nonlinear dynamic characteristics of the deep-hole drill string system. The study can provide further understanding of the vibration characteristics of the drill string system.

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Section: The Effect Of Perturbation Amplitude μ On Dynamic Characteristicsmentioning

confidence: 99%

“…Further increasing the forcing frequency ω, the system displays strong non-linear characteristics, the vibration amplitude significantly increases and periodic motion, quasi-periodic motion and chaotic motion appear at [66. 25,120] Figure 4b presents the bifurcation diagram of the forcing frequency ω at ka = 2.8 × 10 5 and kb = 2 × 10 3 in the range [40,60]. In the interval [40, 41.22], the dynamic response of the system mostly comprises quasi-periodic motion.…”

Section: The Effect Of Forcing Frequency ω On Dynamic Characteristicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction

et al. 2021

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“…For the convenience of subsequent calculation, order u � N u q u , v � N v q v , w � N w q w , θ z � N θz q θ . Substituting ( 22) into ( 9) by Hamiltonian principle [18,19], ignoring infinitesimal quantity, the mass matrix [M e ] of the UDS is obtained as (23).…”

Section: Finite Element Model With 6-dofmentioning

confidence: 99%

Analysis of the Longitudinal-Bending-Torsional Coupled Vibration Mechanism of the Drilling of a Roof Bolter for Mine Support System

Liu

et al. 2022

Mathematical Problems in Engineering

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The condition of the drilling of a roof bolter for mine support system is complex, and the existing analytical approaches for the vibration of the drilling for oil wells cannot be fully applicable to it. In order to reveal the vibration mechanism of bolt drilling, some models for longitudinal, bending, and torsional coupled vibration were established based on the energy method and finite element method. A global matrix was assembled in the order of units. Taking the drilling condition as the boundary conditions, a reduced-order model was constructed. The simulations for drilling mudstone show that the order of mode shape is positively correlated with the corresponding natural frequency, and the low-order mode shape plays a decisive role in the vibration characteristics of a drill string. The order of causing drill string displacement from large to small is as follows: longitudinal vibration, torsional vibration, and bending vibration. Compared with the bit, the displacements of longitudinal and torsional vibration of the tail of the drill string are decreased by 93.2% and 84.7%, respectively. The perturbed force and reaction torque are the main reasons for inducing the coupled vibration of it. This research provides a theoretical basis for analysing the vibration characteristics of the drilling of roof bolters for mine support systems and developing their absorbers.

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Highly nonlinear hyperelastic shells: Statics and dynamics

Khaniki

Ghayesh

2023

International Journal of Engineering Science

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On the dynamics of drilling

Cited by 5 publications

References 23 publications

Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction

Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction

Analysis of the Longitudinal-Bending-Torsional Coupled Vibration Mechanism of the Drilling of a Roof Bolter for Mine Support System

Highly nonlinear hyperelastic shells: Statics and dynamics

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