Lateral Vibration and Internal Forces of Grouped Piles in Layered Soil
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 125, Issue 1
Abstract
Simplified analytical models are developed for the lateral harmonic response of single piles and pile groups in layered soil. Pile-to-soil interplay is represented by a dynamic Winkler formulation based on frequency-dependent springs and dashpots. For pile-to-pile interaction, the wave field originating from each oscillating (“source”) pile and the diffraction of this field by the adjacent (“receiver”) piles are considered. The response of single piles and pile pairs is evaluated both numerically (through a transfer-matrix formulation) and analytically (introducing an efficient virtual-work approximation). Closed-form solutions are obtained: (1) for the impedance of single piles; (2) for the dynamic interaction factors between two piles; and (3) for the “additional” internal forces (“distress”) developing in grouped piles because of pile-to-pile interaction, a phenomenon frequently ignored in current methods of analysis. Both swaying and rocking vibrational modes are considered. The effect of pile length and soil layering on the impedances and interaction factors is studied. The predictions of the model are in agreement with earlier results, while its simplicity offers a versatile alternative to rigorous solutions.
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References
1.
ATC-3. ( 1978). Tentative provisions for the development of seismic regulations of buildings: A cooperative effort with the design profession, building code interests, and the research community. National Bureau of Standards, Supt. of Docs., Washington, D.C.
2.
Banerjee. ( 1994). The boundary element methods in engineering . McGraw-Hill, New York.
3.
Blaney, G. W., Kausel, E., and Roesset, J. M. ( 1976). “Dynamic stiffness of piles.” Proc., 2nd Int. Conf. Num. Methods Geomech., Virginia Polytechnic Institute and State University, Blacksburg, Va., 1010–1012.
4.
Clough, R. W., and Penzien, J. ( 1993). Dynamics of structures. McGraw-Hill, New York.
5.
Dobry, R., and Gazetas, G. ( 1988). “Simple method for dynamic stiffness and damping of floating pile groups.” Géotechnique, London, 38(4), 557–574.
6.
Dobry, R., Vicente, E., O'Rourke, M. J., and Roesset, J. M. (1982). “Horizontal stiffness and damping of single piles.”J. Geotech. Engrg. Div., ASCE, 108(3), 439–459.
7.
El-Marsafawi, H., Kaynia, A., and Novak, M. ( 1992). “Interaction factors and the superposition method for pile group dynamic analysis.” Rep. No. GEOT-1-92, Geotechnical Research Center, Department of Civil Engineering, University of Western Ontario, Canada.
8.
Franklin, J. N., and Scott, R. F. (1979). “Beam equation with variable foundation coefficient.”J. Engrg. Mech., ASCE, 105(5), 811–827.
9.
Gazetas, G. ( 1991). “Foundation vibrations.” Foundation engineering handbook, 2nd Ed., Van Nostrand Reinhold, New York, 553–593.
10.
Gazetas, G. ( 1987). “Chapter 2: Simple physical models in foundation impedances.” Dynamic behavior of foundations and buried structures, (developments in Soil Mech. Found. Engrg., Vol. 3), P. K. Banerjee and R. Butterfield, eds., Elsevier Applied Science, London, 45–93.
11.
Gazetas, G., and Dobry, R. (1984). “Horizontal response of piles in layered soil.”J. Geotech. Engrg. Div., ASCE, 110(1), 20–40.
12.
Gazetas, G., and Mylonakis, G. ( 1998). “Seismic soil-structure interaction: New evidence and emerging issues.” Geotech. Spec. Publ. No. 75, ASCE, Reston, Va., 1119–1174.
13.
Hetenyi, M. ( 1946). Beams on elastic foundation . University of Michigan Press, Ann Arbor, Mich.
14.
Kagawa, T., and Kraft, L. M. ( 1980). “Lateral load-deflection relationships of piles subjected to dynamic loads.” Soils and Found., Tokyo, 20(4), 19–36.
15.
Kaynia, A. M., and Kausel, E. ( 1982). “Dynamic stiffness and seismic response of pile groups.” Res. Rep. No. R82-03, Massachusetts Institute of Technology, Cambridge, Mass.
16.
Kuhlemeyer, R. L. (1979). “Static and dynamic laterally loaded floating piles.”J. Geotech. Engrg., ASCE, 105(2), 289–304.
17.
Lam, I., and Martin, G. ( 1986). “Seismic design of highway bridge foundations.” Rep. No. FHWA/RD-86/102, Federal Highway Administration, Washington, D.C.
18.
Makris, N., and Gazetas, G. ( 1992). “Dynamic pile-soil-pile interaction. Part II: Lateral and seismic response.” Earthquake Engrg. and Struct. Dynamics, 21(2), 145–162.
19.
Michaelides, O., Gazetas, G., Bouckovalas, G., and Chrysikou, E. ( 1998). “Approximate nonlinear dynamic axial response of piles.” Géotechnique, London, 48(1), 33–54.
20.
Mylonakis, G. ( 1995). “Contributions to static and seismic analysis of piles and pile-supported bridge piers,” PhD thesis, State University of New York at Buffalo, Buffalo.
21.
Mylonakis, G., and Gazetas, G. ( 1998a). “Settlement and additional internal forces of grouped piles in layered soil.” Géotechnique, London, 48(1), 55–72.
22.
Mylonakis, G., and Gazetas, G. ( 1998b). “Vertical vibrations and additional distress of grouped piles in layered soil.” Soils and Found., Tokyo, 38(1), 1–14.
23.
National Earthquake Hazard Reduction Program. ( 1997). Recommended provisions for the development of seismic regulations for new buildings. FEMA publication 274, Building Seismic Safety Council, Washington, D.C.
24.
Nikolaou, A., Mylonakis, G., and Gazetas, G. ( 1995). “Kinematic bending moments in seismically stressed piles.” Rep. No. NCEER-95-0022, National Center for Earthquake Engineering Research, State University of New York at Buffalo, Buffalo.
25.
Nogami, T. ( 1985). “Flexural responses of grouped piles under dynamic loading.” Earthquake Engrg. and Struct. Dynamics, 13, 321–336.
26.
Norris, G. M. ( 1994). “Seismic bridge pile foundation behavior.” Int. Conf. on Design and Constr. of Deep Found., Federal Highway Administration, Washington, D.C.
27.
Novak, M. ( 1974). “Dynamic stiffness and damping of piles.” Can. Geotech. J., Ottawa, 11(4), 574–598.
28.
Novak, M. ( 1991). “Piles under dynamic loads: State of the art.” Proc., 2nd Int. Conf. on Rec. Adv. in Geotech. Earthquake Engrg. and Soil Dyn., Vol. 3, 2433–2456.
29.
Novak, M., Nogami, T., and Aboul-Ella, F. (1978). “Dynamic soil reaction for plane-strain case.”J. Engrg. Mech. Div., ASCE, 104(4), 953–959.
30.
Pender, M. ( 1993). “Aseismic pile foundation design analysis.” Bull. New Zealand Nat. Soc. for Earthquake Engrg., 26(1), 49–160.
31.
Pise, P. J. (1982). “Laterally loaded piles in a two-layer soil system.”J. Geotech. Engrg., ASCE, 108(9), 1177–1181.
32.
Poulos, H. G., and Davis, E. ( 1980). Pile foundation analysis and design. Wiley, New York.
33.
Randolph, M. F. ( 1981). “The response of flexible piles to lateral loading.” Géotechnique, London, 39(3), 365–415.
34.
Randolph, M. F., and Wroth, C. P. ( 1979). “Analysis of vertical deformation of pile groups.” Géotechnique, London, 29(4), 423–439.
35.
Reese, L. C. ( 1986). “Behavior of piles and pile groups under lateral load.” Rep. No. FHWA/RD-85/106. Federal Highway Administration, Washington, D.C.
36.
Roesset, J. M. ( 1984). “Dynamic stiffness of pile groups.” Pile Found., Spec. Publ. No. 10, ASCE, Reston, Va., 263–286.
37.
Sen, R., Davies, G., and Banerjee, P. K. ( 1985). “Dynamic analysis of piles and pile groups embedded in homogeneous soils.” Earthquake Engrg. and Struct. Dynamics, 13, 53–65.
38.
Veletsos, A. S., and Dotson, K. W. (1986). “Impedances of soil layer with disturbed boundary zone.”J. Geotech. Engrg., ASCE, 112(3), 363–368.
39.
Velez, A., Gazetas, G., and Khrishnan, R. (1983). “Lateral dynamic response of constrained-head piles.”J. Geotech. Engrg. Div., ASCE, 109(8), 1063–1081.
40.
Wolf, J. P. ( 1985). Dynamic soil-structure interaction. Prentice-Hall, Englewood Cliffs, N.J.
41.
Wolf, J. P., Meek, J. W., and Song, C. ( 1992). “Cone models for a pile foundation.” Piles Under Dynamic Loads, Geotech. Spec. Publ. No. 34, ASCE, Reston, Va., 94–113.
42.
Wolf, J. P., and Von Arx, G. A. ( 1978). “Impedance function of a group of vertical piles.” Proc., Spec. Conf. on Soil Dyn. and Earthquake Engrg., Vol. 2, ASCE, Reston, Va., 1024–1041.
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Received: Feb 10, 1998
Published online: Jan 1, 1999
Published in print: Jan 1999
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