Frequency Domain Dynamic Analysis of Piles and Pile Groups
Publication: Journal of Engineering Mechanics
Volume 116, Issue 10
Abstract
In this paper a hybrid boundary element formulation (method I) is presented to evaluate the impedance and compliance functions of piles and inclined pile groups embedded in a homogeneous soil media. The piles are represented by compressible beam‐column elements and the soil as a hysteretic viscoelastic half‐space. A new Green function for semi‐infinite solids is used in the numerical formulation. A realistic lateral load calculation procedure for piles of circular and noncircular cross sections is proposed. Particular attention is given to incorporate accurately the inertia effects. Ah alternate axisymmetric rigorous boundary element formulation (method II) is used to analyze the same problem, where the boundary tractions and displacements are expressed in terms of Fourier series expansion. Extensive comparisons through a unified presentation of existing solutions are made. Finally, some representative results for inclined pile groups are presented.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Angelides, D., and Roesset, J. M. (1980). “Nonlinar dynamic stiffness of piles.” Research Report R80‐13, Civ. Engrg. Dept., Massachusetts Inst. of Tech., Apr.
2.
Apsel, R. (1979). “Dynamic Green's functions for layered media and application to boundary‐value prolems,” thesis presented to the University of California at San Diego, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Banerjee, P. K. (1978). “Analysis of axially and laterally loaded pile groups.” Developments in soil mechanics, C. R. Scott, ed., Applied Science Publishers, London, England, 317–346.
4.
Banerjee, P. K., Ahmad, S., and Chen, K. (1988). “Advanced application of BEM in wave barriers in multilayer soil media.” Earthq. Engrg. and Struct. Dynamics, 16(7), 1041–1060.
5.
Banerjee, P. K., and Driscoll, R. M. C. (1975). “A program for the analysis of pile groups of any geometry subjected to any loading conditions.” HECB/B/7, Dept. of the Envir., London, England.
6.
Banerjee, P. K., and Driscoll, R. M. C. (1976). “Three‐dimensional analysis of raked pile groups.” Proc. Inst. Civil Engrg., Part 2, 61, 653–671.
7.
Banerjee, P. K., and Mamoon, S. M. (1990). “A fundamental solution due to a periodic point force in the interior of an elastic half‐space.” Earthquake Engrg. and Struct. Dynamics, 19(1), 91–105.
8.
Banerjee, P. K., and Sen, R. (1987). “Dynamic behavior of axially and laterally loaded piles and pile groups.” Dynamic behavior of foundations and buried structures (Developments in soil mech. foundation engineering, vol. 3), P. K. Banerjee and R. Butterfield, eds., Elsevier Applied Science, London, England, 95–133.
9.
Banerjee, P. K., Sen, R., and Davis, T. G. (1987). “Static and dynamic analyses of axially and laterally loaded piles and pile groups.” Geotechnical modeling and applications, Dean Alexander Vesic Memorial Volume, S. M. Sayed, ed., Gulf Publishing Co., Houston, Tex., 322–354.
10.
Banerjee, P. K., and Butterfield, R. (1981). Boundary element methods in engineering science, The McGraw‐Hill Book Company, London and New York.
11.
Butterfield, R., and Banerjee, P. K. (1971). “Analysis of axially loaded compressible piles and pile groups.” Geotechnique, 21(1), London, England, 43–60.
12.
Davies, T. G., and Banerjee, P. K. (1979). “Analysis of some case histories of axially and laterally loaded pile groups.” Proc. Int. Symp. Numer. Methods Offshore Piling, Institute of Civil Engineers, London, 101–108.
13.
Kausel, E., and Roesset, J. M. (1974). “Soil‐structure interaction for nuclear containment structures.” Power Div. ASCE Specialty Conf., Boulder, Colo., 469–498.
14.
Kaynia, A. M. (1982). “Dynamic stiffness and seismic response of pile groups.” Research Report R82‐03, Massachusetts Inst. of Tech., Cambridge, Mass.
15.
Kaynia, A. M., and Kausel, E. (1982). “Dynamic behavior of pile groups.” 2nd Int. Conf. on Numer. Methods in Offshore Piling, Austin, Tex.
16.
Kelvin, (Lord). (1848). “Displacements due to a point load in an indefinitely extended solid.” Math. and phys. papers, London, England, 1, 97.
17.
Kobayashi, S., and Nishimura, N. (1980). “Green's tensors for elastic half‐space, an application of the boundary integral equation method,” Memoirs Fac. Engrg., Kyoto Univ., XLII, Part 2, Apr.
18.
Kuhlemeyer, R. L. (1979a). “Vertical vibration of piles.” J. Geotech. Eng. Div., ASCE, 105(2), 273–287.
19.
Kuhlemeyer, R. L. (1979b). “Static and dynamic laterally loaded floating piles.” J. Geotech. Eng. Div., ASCE105(2), 289–304.
20.
Love, A. E. H. (1952). A treatise on the mathematical theory of elasticity, 4th Ed., Cambridge University Press, London, England.
21.
Mamoon, S. M., Banerjee, P. K., and Ahmad, S. (1988). “Seismic response of pilefoundations.” Technical Report, NCEER‐88‐0034, Nat. Center for Earthquake Engrg. Res., State Univ. of New York at Buffalo.
22.
Matlock, H. (1970). “Correlations for design of laterally loaded piles in soft clay.” Paper No. OTC 1208, Offshore Tech. Conference, Houston, Tex.
23.
Matlock, H., and Foo, S. H. C. (1979). “Axial analysis of piles using a hysteretic degrading soil model.” Proc. Int. Symp. Numer. Methods Offshore Piling, Institute of Civil Engineers, London, England.
24.
Mindlin, R. D. (1936). “Force at a point in the interior of a semi‐infinite solid.” J. Appl. Phys., 7, 195–202.
25.
Nogami, T., and Novak, M. (1976). “Soil‐pile interaction in vertical vibration.” Earthq. Engrg. and Struct. Dynamics, 4(3), 277–293.
26.
Nogami, T. (1980). “Dynamic stiffness and damping of pile groups in inhomogeneous soil.” Proc. Session Dynamic Response Pile Foundation: Analytical Aspects, ASCE, 31–52.
27.
Nogami, T. (1985). “Flexural responses of grouped piles under dynamic loading.” Earthq. Engrg. and Struct. Dynamics, 13(3), 321–336.
28.
Novak, M. (1974). “Dynamic stiffness and damping of piles.” Can. Geotech. J., II(4), 574–598.
29.
Novak, M. (1977). “Vertical vibration of floating piles.” J. Eng. Mech. Div., ASCE103(1), 153–168.
30.
Novak, M., and Nogami, T. (1977). “Soil pile interaction in horizontal vibration.” Earthq. Engrg. Struct. Dynamics, 5(3), 263–282.
31.
Pak, R. Y., and Jennings, P. C. (1987). “Elastodynamic response of pile under transverse excitations.” J. Engrg. Mech. Div., ASCE113(7), 1101–1116.
32.
Penzien, J. (1970). “Soil‐pile foundation interaction.” Earthquake Engineering in R. L. Wiegel, ed., Prentice‐Hall, Englewood Cliffs, N.J.
33.
Penzien, J., Scheffley, C. F., and Parmelee, R. A. (1964). “Seismic analysis of bridges on long piles.” J. Engrg. Mech. Div., ASCE90(3), 223–254.
34.
Poulos, H. G. (1971a). “Laterally loaded piles—Single piles.” J. Soil Mech. Found. Div., ASCE97(5), 711–731.
35.
Poulos, H. G. (1971). “Laterally loaded piles—Pile groups.” J. Soil Mech. Found. Div., ASCE97(5), 733–751.
36.
Poulos, H. G., and Davis, E. H. (1980). Pile foundation analysis and design. John Wiley and Sons, New York, N.Y.
37.
Prakash, S. F., and Chandrasekaran, V. (1977). “Free vibration characteristics of piles.” Proc. 9th Int. Conference Soil Mech. and Foundation Engrg., Tokyo, 2, 333–336.
38.
Rajapakse, R. K., and Shah, A. H. (1987a). “On the longitudinal harmonic motion of an elastic bar embedded in an elastic half space.” Int. J. Solids Struct., 23(2), 267–285.
39.
Rajapakse, R. K., and Shah, A. H. (1987b). “On the lateral harmonic motion of an elastic bar embedded in an elastic half‐space.” Int. J. Solids Structures, 23(2), 287–303.
40.
Reese, L. C., Cox, W. R., and Koop, F. D. (1974). “Analysis of laterally loaded piles in sand.” Proc. of the 6th Offshore Tech. Conference, Houston, Tex.
41.
Sen, R., Davis, T. G., and Banerjee, P. K. (1985). “Dynamic analysis of piles and pile groups embedded in homogeneous soils.”Earthquake Engrg. Struct. Dynamics, 13 (1), 53–65.
42.
Sen, R., Kausel, E., and Banerjee, P. K. (1985). “Dynamic analysis of piles and pile groups in non‐homogeneous soils.” Int. J. Numerical and Analytical Methods in Geomechanics, 9, 507–524.
43.
Waas, G., and Hartmann, H. G. (1981). “Pile foundations subjected to dynamic horizontal loads.” Modeling Simulation Large Scale Structural System, Capri, Italy, 17.
44.
Wang, H. C. (1989). “A general purpose development of BEM for axisymmetric solids,” thesis presented to the State University of New York at Buffalo, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
45.
Wang, H. C., and Banerjee, P. K. (1990). “General axisymmetric elastodynamic analysis by boundary element method,” Int. J. for Num. Meth. in Engrg., vol. 30, 115–131.
46.
Wolf, J. P., and von Arx, G. A. (1978). “Impedance function of a group of vertical piles.” Proc. ASCE Specialty Conf., Earthquake Eng. Soil Dyn., ASCE, Pasadena, Calif., II, 1024–1041.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 116 • Issue 10 • October 1990
Pages: 2237 - 2257
Copyright
Copyright © 1990 ASCE.
History
Published online: Oct 1, 1990
Published in print: Oct 1990
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.