Numerical investigation of the core eccentricity effect on wave propagation in embedded waveguide
Beata Zima 1  
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Gdańsk University of Technology
CORRESPONDING AUTHOR
Beata Zima   

Gdańsk University of Technology
Online publish date: 2019-02-11
Publish date: 2019-02-11
Submission date: 2018-09-30
Final revision date: 2018-12-08
Acceptance date: 2019-02-05
 
Diagnostyka 2019;20(2):11–18
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ABSTRACT
The paper presents results of theoretical and numerical investigation of guided wave propagation in two-layer bars with geometric imperfections in the form of eccentric location of steel core. Steel rod of diameter equal to 1 cm embedded in composite mortar-type cover with external diameter equal to 5 cm has been taken into consideration. Several different rods with variable size of eccentricity are analysed. Results for rods with misalignment of the cover and the core are presented as dispersion curves which were calculated using SAFE method (semi-analytical finite element) and compared with results obtained for perfect axisymmetric rod. Moreover, numerical calculation for several cases of imperfect rods were conducted and results given in the form of displacements and accelerations maps and time-domain signals.
 
REFERENCES (26)
1.
Firestone FA, Ling DS Jr. Method and means for generating and utilizing vibrational waves in plates, US Patent 2,536,126, 1951.
 
2.
Palacz M, Krawczuk M, Ostachowicz W. Detection of additional mass in rods: Experimental and numerical investigation, Archives of Applied Mechanics, 74(11–12), 820–826, 2005. https://doi.org/10.1007/s00419....
 
3.
Lucena RL, Dos Santos JMC. Structural health monitoring using time reversal and cracked rod spectral element, Mechanical Systems and Signal Processing, 79, 86–98, 2016. https://doi.org/10.1016/j.ymss....
 
4.
Tse P, Wang X. Semi–quantitative analysis of defect in pipelines through the use of technique of ultrasonic guided waves, Key Engineering Materials, 413–414, 109–116, 2009. 10.4028/www.scientific.net/KEM.413-414....
 
5.
Sanderson RM, Hutchins DA, Billson DR, Mudge PJ. The investigation of guided wave propagation around a pipe bend using an analytical modelling approach, The Journal Acoustical Society of America, 133(3), 1404–1414, 2013. https://doi.org/10.1121/1.4790....
 
6.
Lowe MJS. Alleyne DN, Cawley P. Defect detection in pipes using guided waves, Ultrasonics, 36, 147–154, 1998. https://doi.org/10.1016/S0041-....
 
7.
Zumpano G, Meo M. A new damage detection technique based on wave propagation for rails, International Journal of Solids and Structures, 43(5), 1023–1046, 2006. https://doi.org/10.1016/j.ijso....
 
8.
Mariani S, Nguyen T, Phillips RR, Kijanka P, Lanza di Scalea F, Staszewski WJ, Fateh M, Carr G. Noncontact ultrasonic guided wave inspection of rails, Structural Health Monitoring, 12(5–6), 539–548, 2013. https://doi.org/10.1177/147592....
 
9.
Armenákas AE. Propagation of harmonic waves in composite circular-cylindrical rods. The Journal of Acoustical Society of America 1970; 47: 822–837. https://doi.org/10.1121/1.1911....
 
10.
Baltrukonis JH, Gottenberg WG, Schreiner RN. Axial-shear vibrations of an infinitely-long composite circular cylinder. The Journal of Acoustical Society of America 1961; 33(11): 1447–1457. https://doi.org/10.1121/1.1908....
 
11.
Thurston RN. Elastic waves in rods and clad rods. The Journal of Acoustical Society of America 1978; 64(1): 1–37. https://doi.org/10.1121/1.3819....
 
12.
Pavlakovic BN. Leaky guided ultrasonic waves in NDT. PhD thesis, Imperial College of Science, Technology and Medicine, 1998. https://doi.org/10.1111/mice.1....
 
13.
Beard MD, Lowe MJS, Cawley P. Ultrasonic Guided Waves for Inspection of Grouted Tendons and Bolts. Journal of Materials in Civil Engineering 2003; 15(3): 212–218. https://doi.org/10.1061/(ASCE)....
 
14.
Beard MD, Lowe MJS. Non-destructive testing of rock bolts using guided ultrasonic waves. International Journal of Rock Mechanics and Mining Sciences 2003; 40(4): 527–536. https://doi.org/10.1016/S1365-....
 
15.
Zou DH, Cheng J, Yue R, Sun X. Grout quality and its impact on guided ultrasonic waves in grouted rock bolts. Journal of Applied Geophysics 2010; 72(2): 102–106. https://doi.org/10.1016/j.japp....
 
16.
Madenga V, Zou DH, Zhang C. Effects of curing time and frequency on ultrasonic wave velocity in grouted rock bolts. Journal of Applied Geophysics 2006; 59(1): 79-87. https://doi.org/10.1016/j.japp....
 
17.
Zou DH, Cui Y, Madenga V, Zhang C. Effects of frequency and grouted length on the behaviour of guided ultrasonic waves in rock bolts. International journal of Rock mechanics and Mining Sciences 2007; 44(6): 813–819. https://doi.org/10.1016/j.ijrm....
 
18.
Cui Y, Zou DH. Assessing the effect of insufficient rebar and missing grout in grouted rock bolts using guided ultrasonic waves. Journal of Applied Geophysics 2012; 79: 64–70. https://doi.org/10.1016/j.japp....
 
19.
Zima B, Rucka M. Guided ultrasonic waves for detection of debonding in bars partially embedded in grout. Construction and Building Materials 2018; 168: 124–142. https://doi.org/10.1016/j.conb....
 
20.
Zima B, Rucka M. Detection of debonding in steel bars embedded in concrete using guided wave propagation. Diagnostyka 2016; 17(3): 27–34.
 
21.
Knopoff L. A matrix method for elastic wave problems. Bulletin of Seisomological Society of America 1964; 54(1): 431–438.
 
22.
Randall MJ. Fast programs for layered half–spaced problems. Bulletin of Seismological Society of America, 1967; 57(6): 1299–1316.
 
23.
Treyssède F. Numerical investigation of elastic modes of propagation in helical waveguides. Journal of Acoustic Society of America 2007; 121(6): 3398–3408. https://doi.org/10.1121/1.2730....
 
24.
Søe-Knudsen A, Sorokin S. On accuracy of the wave finite element predictions of wavenumbers and power flow: a benchmark problem. Journal of Sound and Vibration 2011; 330(12): 2694–2700. https://doi.org/10.1016/j.jsv.....
 
25.
Liu YJ, Han Q, Li CL, Huang HW. Numerical investigation of dispersion relations for helical waveguides using the scaled boundary finite element method. Journal of Sound and Vibration 2014; 333(7): 1991–2002. https://doi.org/10.1016/j.jsv.....
 
26.
Zima B, Rucka M. Non-destructive inspection of ground anchors using guided wave propagation. International Journal of Rock Mechanics and Mining Sciences 2017; 4(1): 90-102. https://doi.org/10.1016/j.ijrm....
 
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