Abstract
The propagation of stress waves in a large-diameter pipe pile for low strain dynamic testing cannot be explained properly by traditional 1D wave theories. A new computational model is established to obtain a wave equation that can describe the dynamic response of a large-diameter thin-walled pipe pile to a transient point load during a low strain integrity test. An analytical solution in the time domain is deduced using the separation of variables and variation of constant methods. The validity of this new solution is verified by an existing analytical solution under free boundary conditions. The results of this time domain solution are also compared with the results of a frequency domain solution and field test data. The comparisons indicate that the new solution agrees well with the results of previous solutions. Parametric studies using the new solution with reference to a case study are also carried out. The results show that the mode number affects the accuracy of the dynamic response. A mode number greater than 10 is required to enable the calculated dynamic responses to be independent of the mode number. The dynamic response is also greatly affected by soil properties. The larger the side resistance, the smaller the displacement response and the smaller the reflected velocity wave crest. The displacement increases as the stress waves propagate along the pile when the pile shaft is free. The incident waves of displacement and velocity responses of the pile are not the same among different points in the circumferential direction on the pile top. However, the arrival time and peak value of the pile tip reflected waves are almost the same among different points on the pile top.
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References
Chen F and Luo WZ (2004), “Dimension Effect on Low Strain Integrity Testing o f Prestressed Pipe Piles,” Chinese Journal Geotechnical Engineering, 26(3): 353–356. (in Chinese)
Chow YK, Phoon KK, Chow WF and Wong KY (2003), “Low Strain Integrity Testing of Piles: Threedimensional Effects,” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 129(11): 1057–1062.
Ding XM, Liu HL, Liu JY and Chen YM (2011), “Wave Propagation in a Pipe Pile for Low Strain Integrity Testing,” Journal of Engineering Mechanics, ASCE, 137(9): 598–609.
Ding XM, Liu HL and Zhang B (2011), “High-frequency Interference in Low Strain Integrity Testing of Largediameter Pipe Piles,” Science China Technological Sciences, 54(2): 420–430.
Ding XM and Tan HM (2011), “Study on the Velocity Responses of Large-diameter Pipe Pile with Variable Wave Impedance in Low Strain Integrity Testing,” Journal of Sichuan University (Engineering Science Edition), 43(3):18–25. (in Chinese)
Gazis DC (1959), “Three-dimensional Investigation of the Propagation of Waves in Hollow Circular Cylinders: I. Analytical Foundation,” Journal of the Acoustical Society of America, 31(5): 568–573.
Gazis DC (1959), “Three-dimensional Investigation of the Propagation of Waves in Hollow Circular Cylinders, II. Numerical Results,” Journal of the Acoustical Society of America, 31(5): 573–578.
Goit CS and Saitoh M (2013), “Model Tests and Numerical Analyses on Horizontal Impedance Functions of Iinclined Single Piles Embedded in Cohesionless Soil,” Earthquake Engineering and Engineering Vibration, 12(1): 143–154. DOI: 10.1007/s11803-013-0158-0.
Han YC (1997), “Dynamic Vertical Response of Piles in Nonlinear Soil,” Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 123(8): 710–716.
Lee SL, Chow YK, Karunaratne GP and Wong KY (1988), “Rational Wave Equation Model for Pile-driving Analysis,” Journal of Geotechnical Engineering, ASCE, 114(3): 306–325.
Likins GE and Rausche F (2000), “Recent Advances and Proper Use of PDI Low Strain Pile Integrity Testing,” Sixth International Conference on the Application of Stress-wave Theory to Piles, St.Paul, Brazil, 211–218.
Liu EYF (2008), “Prevention of Cracking for Large Diameter Concrete Pipe Piles,” 8th International Conference on the Application of Stress-wave Theory to Piles, Lisbon, Portugal 277–281.
Liu HL, Chu J and Deng A (2009), “Use of Largediameter, Cast–in Situ Concrete Pipe Piles for Embankment over Soft Clay,” Canadian Geotechnical Journal, 46(8): 915–927.
Liu HL and Ding XM (2007), “Analytical Solution of Dynamic Response of Cast-in-situ Concrete Thin-wall Pipe Piles under Transient Concentrated Load with Low Strain,” Chinese Journal of Geotechnical Engineering, 29(11): 1611–1617. (in Chinese)
Liu HL and Ding XM (2009), “Propagation Characteristics of Transient Waves in Low Strain Integrity Testing on Cast-in-situ Concrete Thinwall Pipe Piles,” Frontiers of Architecture and Civil Engineering in China, 3(2):180–186.
Liu HL, Fei K and Xu XT (2005), “Development and Application of the Large-diameter Driven Cast-in-place Concrete Thin-wall Pipe Pile,” Proceedings of the 16th International Conference on Soil Mechchanics and Geotechnical Engineering, Osaka, Japan, 2137–2140.
Liu HL, Ma XH and Gong NH (2004), Construction Method of Large Diameter Cast-in-place Pipe Pile Composite Foundation for Soft foundation Treatment, ZL02112538.4. (in Chinese)
Massoudi N and Teffera W (2004), “Non-destructive Testing of Piles Using the Low Strain Integrity Method,” Proceedings of the Fifth International Conference on Case Histories in Geotechnical Engineering, New York, 13–17.
Militano G and Rajapakse RKND (1999), “Dynamic Response of a Pile in a Multi-layered Soil to Transient Torsional and Axial Loading,” Geotechnique, 49(1): 91–109.
Morgano CM (1996), “Determining Embedment Depths of Deep Foundations Using Non-destructive Methods,” Fifth Inte rnational Conference on the Application of Stress-wave Theory to Piles, Orlando, FL, 734–747.
Novak M (1977), “Vertical Vibration of Floating Piles,” Journal of the Engineering Mechanics Division, ASCE, 103(EM1): 153–168.
Novak M and Aboul-Ella F (1978), “Impedance Functions of Piles in Layered Media, ” Journal of the Engineering Mechanics Division, ASCE, 104(EM6): 643–661.
Novak M and Beredugo YO (1972), “Vertical Vibration of Embedded Footings,” Journal of the Soil Mechanics and Foundations Division, ASCE, 12: 1291–1310.
Novak M, Nogami T and Aboul-Ella F (1978), “Dynamics Soil Reactions for Plane Strain Case,” Journal of the Engineering Mechanics Division, ASCE, 104(EM4): 953–959.
Rausche F (1970), “Soil Response from Dynamic Analysis and Measurement on Piles,” Ph.D. Dissertation, Division of Solid Mechanics, Structures and Mechanical Design, Case Western Reserve University, Cleveland Ohio.
Rausche F (1972), “Soil Resistance Prediction from Pile Dynamics,” Journal of Soil Mechanics & Foundations Division, ASCE, 98(SM9): 917–937.
Rausche F, Goble GG and Likins GE (1992), “Investigation of Dynamic Soil Resistance on Piles Using GRLWEAP,” Proceedings of the Fourth International Conference on the Application of Stress-wave Theory to Piles, The Netherlands, 137–142.
Smith EAL (1960), “Pile Driving Analysis by the Wave Equation,” Journal of Soil Mechanics & Foundations Division, ASCE, 86: 35–61.
Tang L, Maula BH, Ling XZ and Su L (2014), “Numerical Simulations of Shake-table Experiment for Dynamic Soil-pile-structure Interaction in Liquefiable Soils,” Earthquake Engineering and Engineering Vibration, 13(1): 171–180. DOI: 10.1007/s11803-014-0221-5.
The Industry Standard of the People’s Republic of China (2010), Technical Specification for Composite Foundation of Cast-in-place (JGJ/T213-2010), Beijing: China Building Industry Press.
Xu XT, Liu HL and Lehane BM (2006), “Pipe Pile Installation Effects in Soft Clay,” Geotechnical Engineering, (GE4): 285–296.
Yang DY, Wang KH, Zhang ZQ and Leo CJ (2009), “Vertical Dynamic Response of Pile in a Radially Heterogeneous Soil Layer,” International Journal for Numerical and Analytical Methods in Geomechanics, 33: 1039–1054.
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Supported by: The 111 Project under Grant No. B13024, the National Natural Science Foundation of China under Grant No. 51378177, the Program for New Century Excellent Talents in University under Grant No. NCET-12-0843 and the Fundamental Research Funds for the Central Universities under Grant No. 106112014CDJZR200007
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Ding, X., Liu, H., Chu, J. et al. Time-domain solution for transient dynamic response of a large-diameter thin-walled pipe pile. Earthq. Eng. Eng. Vib. 14, 239–251 (2015). https://doi.org/10.1007/s11803-015-0020-7
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DOI: https://doi.org/10.1007/s11803-015-0020-7