Influence of geometry and material properties on the axial vibration of a rock bolt

Ivanović, Ana; Neilson, Richard David

doi:10.1016/j.ijrmms.2007.10.003

Cited by 27 publications

(13 citation statements)

References 10 publications

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“…Displacement components u rm ; u hm ; u zm and stress components s rrm ; s rhm ; s rzm in each layer can then be obtained by substituting the modified displacement potentials (5), (6), and (7) into the displacement-potential and stress-deformation equations, 10 respectively. Continuous boundary conditions for the displacement and stress components at each of the M À 1 interfaces are applied.…”

Section: B Modified Dispersion Equationmentioning

confidence: 99%

“…(17). Substituting coefficients (18) and displacement potentials (5), (6), and (7) into the displacement potential equation …”

Section: Displacement Component Expressionsmentioning

confidence: 99%

“…One important application is ultrasonic non-destructive evaluation (NDE) of rockbolts. [1][2][3][4][5][6] Rockbolts are steel rods of 1-3 m length and about 20 mm diameter. They are installed to reinforce the ground in mining and civil engineering structures.…”

Section: Introductionmentioning

confidence: 99%

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Excitation mechanisms and dispersion characteristics of guided waves in multilayered cylindrical solid media

Cui

Zhang

Johnstone

et al. 2012

The Journal of the Acoustical Society of America

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This paper first reviews a method of simulating the propagation characteristics of guided waves in multilayered coaxial cylindrical elastic solid media. Secondly, this method is used to investigate the properties of the guided waves for the ultrasonic long-range non-destructive evaluation techniques for rockbolts. To do so, the special case of non-leaky guided modes in open waveguides is considered. The method explains how the complex dispersion function is converted into a real function: hence the bisection technique can be employed to search for all the real roots. The model is used to (i) characterize the low dispersion range and anomalous dispersion of normal and Stoneley modes and (ii) analyze the excitation mechanisms of guided waves from axisymmetric and non-axisymmetric acoustic sources. The results are used to select suitable excitation frequency ranges associated with dominant modes with large amplitudes, low dispersion, and distinguishable propagation velocities to reduce signal distortion. The results suggest the lowest order flexural mode, excited by a radial force source, has potential to be used in practice. Also, the highly dispersive Stoneley mode propagating along a cylindrical interface is defined and distinguished from the normal mode using two properties, velocity high-frequency asymptotes and amplitude distributions along the radial direction.

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Section: B Modified Dispersion Equationmentioning

confidence: 99%

“…(17). Substituting coefficients (18) and displacement potentials (5), (6), and (7) into the displacement potential equation …”

Section: Displacement Component Expressionsmentioning

confidence: 99%

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Excitation mechanisms and dispersion characteristics of guided waves in multilayered cylindrical solid media

Cui

Zhang

Johnstone

et al. 2012

The Journal of the Acoustical Society of America

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“…Vibro-acoustic method for evaluating the state of the "mine roof -rock bolt" system is used only in some isolated cases [9,10]. Criteria for a comprehensive assessment of the rock bolt efficiency, based on overall data, are presented in [11].…”

Section: Introductionmentioning

confidence: 99%

Physical modeling of the rock bolt interaction with the rock massif

et al. 2019

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The results of the physical modeling of the “rock bolt – rock massif” system are presented. The characteristics of rock bolt free oscillations depending on the degree of its clamping and tension were studied on special test benches. Oscillations were caused by a single hit to the rock bolt end. It has been established, that the relaxation time of rock bolt free oscillations is the most informative parameter for non-destructive testing. Experimental dependences, that connect the informative parameter with the characteristics of the rock bolt fastening quality, have been determined. An optimal scheme for registering the oscillations in the “rock bolt – rock massif” system is proposed. The basic data has been obtained to substantiate the method of non-destructive testing the quality of rock bolt fastening.

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“…For example, it is urgent to apply Non-destructive evaluation (NDE) for the rock bolts in the mixture of rock and concrete, which are inserted to ensure the stability of the groundwork. One key issue in the above mentioned NDE process is how to evaluate bonding state between rock bolt and concrete by guided ultrasonic waves [1][2][3][4] .…”

Section: Introductionmentioning

confidence: 99%

Guided Waves in a Solid Rod Embedded in Infinite Medium with Weak Interface

Tong

Han

Yin

et al. 2016

MATEC Web of Conferences

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Abstract. The dispersion relation of the infinite long rod model with a weak interface has been deduced via wave equation of the guided waves and boundary spring interface model. The dispersion characteristics of the rigid interface and the slip interface are calculated, while the effect of different axial stiffness coefficient is also discussed.The results suggest that the phase velocity of the slip interface decreases slowly with increasing frequency at the low frequency of the L (0,1) mode. As for the weak interface, when the axial coefficient Kt is in the particular range of [10 10 ,10 14 ]pa/m, the interface turns from the slip interface to the rigid interface. That shows the value of axial coefficient Kt is an essential prerequisite for the non-destructive evaluation to evaluate the interface cementation degree.

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Influence of geometry and material properties on the axial vibration of a rock bolt

Cited by 27 publications

References 10 publications

Excitation mechanisms and dispersion characteristics of guided waves in multilayered cylindrical solid media

Excitation mechanisms and dispersion characteristics of guided waves in multilayered cylindrical solid media

Physical modeling of the rock bolt interaction with the rock massif

Guided Waves in a Solid Rod Embedded in Infinite Medium with Weak Interface

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