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http://dx.doi.org/10.12652/Ksce.2021.41.1.0039

Natural Frequency Characteristics of Vertically Loaded Barrettes  

Lee, Joon Kyu (University of Seoul)
Ko, Jun Young (Chungnam National University)
Choi, Yong Hyuk ((Seoul Facilities Corporation)
Park, Ku Byoung (Korea Institute of Educational Facility Safety)
Kim, Jae Young (Korea Institute of Educational Facility Safety)
Publication Information
KSCE Journal of Civil and Environmental Engineering Research / v.41, no.1, 2021 , pp. 39-48 More about this Journal
Abstract
In this paper, an analytical model is proposed for assessing the natural frequency of barrettes subjected to vertical loading. The differential equation governing the free vibration of rectangular friction piles embedded in inhomogeneous soil is derived. The governing equation is numerically integrated by Runge-Kutta technique and the eigenvalue of natural frequency is computed by Regula-Falsi method. The numerical solutions for the natural frequency of barrettes compare well with those obtained from finite element analysis. Illustrated examples show that the natural frequencies increase with an increase of the cross-sectional aspect ratio, the friction resistance ratio and the soil stiffness ratio, and decrease with an increase of the friction aspect ratio, the slenderness ratio and the load factor, respectively.
Keywords
Barrettes; Natural frequency; Mode shape; Numerical analysis;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 Maciejewska, B., Labedzki, P. A., Piasecki, A. and Piasecka, M. (2017). "Comparison of FEM calculated heat transfer coefficient in a minichannel using two approaches: Trefftz base functions and ADINA software." EPJ Web of Conferences, Vol. 143, No. 12, 02070.
2 Ng, C. W. W. and Lei, G. H. (2003). "Performance of long rectangular barrettes in granitic saprolites." Journal of Geotechnical and Geoenvironmental Engineering, Vol. 129, No. 8, pp. 685-696.   DOI
3 Ng, C. W. W., Rigby, D. B., Ng, S. W. L. and Lei, G. H. (2000). "Field studies of well-instrumented barrette in Hong Kong." Journal of Geotechnical and Geoenvironmental Engineering, Vol. 126, No. 1, pp. 60-73.   DOI
4 Poulos, H. G., Chow, H. S. W. and Small, J. C. (2019). "The use of equivalent circular piles to model the behaviour of rectangular barrette foundations." Geotechnical Engineering Journal of the SEAGE and AGSSEA, Vol. 50, No. 3, pp. 106-109.
5 Prakash, S. and Chandrasekaran, V. (1977). "Free vibration characteristics of piles." Proceedings Ninth International Conference on Soil Mechanics and Foundation Engineering, pp. 333-336.
6 Prakash, S. and Sharma, H. D. (1990). Pile foundation in engineering practice, John Wiley and Sons, New York, USA.
7 Rabaiotti, C. and Malecki, C. (2018). "In situ testing of barrette foundations for a high retaining wall in molasse rock." Geotechnique, Vol. 68, No. 12, pp. 1056-1070.   DOI
8 Ragab, A. M. and Aggour, M. S. (1986). "Free vibration of a soil pile system subjected to static loading." Computers and Geotechnics, Vol. 2, No. 3, pp. 153-165.   DOI
9 Ukritchon, B. and Keawsawasvong, S. (2018). "Undrained lateral capacity of rectangular piles under a general loading direction and full flow mechanism." KSCE Journal of Civil Engineering, KSCE, Vol. 22, No. 7, pp. 2256-2265.   DOI
10 Yan, W. and Chen, W. Q. (2012). "Dynamic analysis of semirigidly connected and partially embedded piles via the method of reverberation-ray matrix." Structural Engineering and Mechanics, Vol. 42, No. 2, pp. 269-289.   DOI
11 Yesilce, Y. and Catal, H. H. (2008). "Free vibration of piles embedded in soil having different modulus of subgrade reaction." Applied Mathematical Modelling, Vol. 32, No. 5, pp. 889-900.   DOI
12 Zhang, C., Deng, P. and Ke, W. (2018). "Kinematic response of rectangular piles under S waves." Computers and Geotechnics, Vol. 102, pp. 229-237.   DOI
13 Al-Gahtani, H. and Mukhtar, F. M. (2014). "RBF-based meshless method for the vibration of beams on elastic foundations." Applied Mathematics and Computation, Vol. 249, pp. 198-208.   DOI
14 Zhang, L. M. (2003). "Behavior of laterally loaded large-section barrettes." Journal of Geotechnical and Geoenvironmental Engineering, Vol. 129, No. 7, pp. 639-648.   DOI
15 Valsangkar, A. J. and Pradhanang, R. B. (1988). "Vibration of beam-columns on two-parameter elastic foundations." Earthquake Engineering and Structural Dynamics, Vol. 16. No. 2, pp. 217-225.   DOI
16 ADINA (2017). ADINA Release Notes Version 9.3.4, ADINA R & D, Inc., MA, USA.
17 Cheng, Q., Wu, J., Song, Z. and Wen, H. (2012). "The behavior of a rectangular closed diaphragm wall when used as a bridge foundation." Frontiers of Structural and Civil Engineering, Vol. 6, No. 4, pp. 398-420.
18 Baker, C. N., Azam, T. and Joseph, L. S. (1994). "Settlement analysis for 450 meter tall KLCC towers." Vertical And Horizontal Deformations of Foundations and Embankments: Proceedings Settlement '94, Geotechnical Special Publication, No. 40, pp. 1650-1671.
19 Basu, D., Prezzi, M., Salgado, R. and Chakraborty, T. (2008). "Settlement analysis of piles with rectangular cross sections in multi-layered soils." Computers and Geotechnics, Vol. 35, No. 4, pp. 563-575.   DOI
20 Carpinteri, A., Malvano, R., Manuello, A. and Piana, G. (2014). "Fundamental frequency evolution in slender beams subjected to imposed axial displacements." Journal of Sound and Vibration, Vol. 333, No. 11, pp. 2390-2403.   DOI
21 Choi, Y. S., Basu, D., Salgado, R. and Prezzi, M. (2014). "Response of laterally loaded rectangular and circular piles in soils with properties varying with depth." Journal of Geotechnical and Geoenvironmental Engineering, Vol. 140, No. 4, 04013049.   DOI
22 Fellenius, B. H., Altaee, A., Kulesza, R. and Hayes, J. (1999). "O-cell testing and FE analysis of 28-m-deep barrette in Manila, Philippines." Journal of Geotechnical and Geoenvironmental Engineering, Vol. 125, No. 7, pp. 566-575.   DOI
23 Gillat, A. and Subramaniam, V. (2013). Numerical methods for engineers and scientists, 3rd edition, John Wiley and Sons, New York, USA.
24 Halabe, U. B. and Jain, S. K. (1996). "Lateral free vibration of a single pile with or without an axial load." Journal of Sound and Vibration, Vol. 195, No. 3, pp. 531-544.   DOI
25 Hirai, H. (2015). "Analysis of rectangular piles subjected to lateral loads in nonhomogeneous soil using a Winkler model approach." International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 39, No. 9, pp. 937-968.   DOI
26 Hamza, M. and Ibrahim, M. H. (2000). "Base and shaft grouted large diameter pile and barrettes load tests." Proceedings GeotechYear 2000: Developments in Geotechnical Engineering, pp. 219-228.
27 Heelis, M. E., Pavlovic, M. N. and West, R. P. (2004). "The analytical prediction of the buckling loads of fully and partically embedded piles." Geotechnique, Vol. 54, No. 6, pp. 363-373.   DOI
28 Hirai, H. (2014). "Settlement analysis of rectangular piles in nonhomogeneous soil using a Winkler model approach." International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 38, No. 12, pp. 1298-1320.   DOI
29 Ho, C. E. and Lim, C. H. (1998). "Barrettes designed as friction foundations: A case history." Proceedings 4th International Conference on Case Histories in Geotechnical Engineering, pp. 236-241.
30 Hong, Y. S., Yoo, J. W., Kang, S. K., Chou, M. B. and Lee, K. I. (2019). "A numerical study on the estimation method of the results of static pile load test using the results of Bi-directional pile load test of Barrette piles." Journal of Korean Geosynthetics Society, KGSS, Vol. 18, No. 1, pp. 39-53 (in Korean).   DOI
31 Hu, C., Cheng, C. and Chen, Z. (2008). "Nonlinear transverse free vibrations of piles." Journal of Sound and Vibration, Vol. 317, No. 3-5, pp. 937-954.   DOI
32 Lee, J. K. and Jeong, S. S. (2016). "Flexural and torsional free vibrations of horizontally curved beams on Pasternak foundations." Applied Mathematical Modelling, Vol. 40, No. 3, pp. 2242-2256.   DOI
33 Ma, J., Liu, F., Gao, X. and Nie, M. (2018). "Buckling and free vibration of a single pile considering the effect of soil-structure interaction." International Journal of Structural Stability and Dynamics, Vol. 18, No. 4, 1850061.   DOI