Transient dynamic response of pile to vertical load in saturated soil. (English) Zbl 1258.74151
Summary: This investigation is concerned with the dynamic response of a pile embedded in a saturated half-space subjected to transient vertical loading. The pile is represented by a beam element, and the saturated medium uses Biot’s three-dimensional elastodynamic theory. The governing equation, which is formulated under the approximation that the strain of the fictitious pile is equal to the corresponding average over a circular area in the extended half-space, is found to be a Fredholm integral equation, and solved by an appropriate numerical method. Time domain solutions are obtained by using numerical Fourier inversion transformation. Some numerical results are given.
MSC:
| 74L10 | Soil and rock mechanics |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
References:
| [1] | Banerjee, P. K.; Ahmad, S.; Manolis, G. D.: Transient elastodynamic analysis of three-dimensional problems by boundary element method, J. Earth eng. Struc. dyn. 14, No. 4, 933-949 (1986) |
| [2] | Baranov, V. A.: On the calculation of excited vibrations of an embedded foundation, (1967) |
| [3] | Biot, M. A.: Mechanics of deformation and acoustic propagation in porous media, J. appl. Phys. 33, No. 4, 1482-1498 (1962) · Zbl 0104.21401 · doi:10.1063/1.1728759 |
| [4] | Cheung, Y. K.; Tham, L. G.: Transient response of single piles under horizontal excitations, J. Earth eng. Struc. dyn. 24, 1017-1038 (1995) |
| [5] | Cole, D. M.; Kosloff, D. D.; Minster, J. B.: A numerical boundary integral equation method for elastodynamics, Bull. seism. Soc. am. 68, 1331-1357 (1978) |
| [6] | El Naggar, M. H.; Novak, M.: Nonlinear analysis for dynamic lateral pile response, Soil dyn. Earth eng. 15, 233-244 (1996) |
| [7] | Jin, B.; Zhou, D.; Zhong, Z.: Lateral dynamic compliance of pile embedded in poroelastic-half-space, Soil dyn. Earth eng. 21, 519-525 (2001) |
| [8] | Karabalis, D. L.; Beskos, D. E.: Dynamic response of 3-D rigid surface foundations by time domain boundary element method, J. Earth eng. Struc. dyn. 12, 73-93 (1984) |
| [9] | Küçükarslan, S.: Time domain dynamic analysis of piles under impact loading, Soil dyn. Earth eng. 22, 97-104 (2002) |
| [10] | Lei, Z. X.; Cheung, Y. K.; Tham, L. G.: Vertical response of single piles: transient analysis by time-domain BEM, Soil dyn. Earth eng. 12, 37-49 (1993) |
| [11] | Maeso, O.; Aznárez, J. J.; García, F.: Dynamic impedances of piles and groups of piles in saturated soil, Comput. geotech. 83, 769-782 (2005) |
| [12] | Mamoon, S. M.; Banerjee, P. K.: Time-domain analysis of dynamically loaded single piles, J. eng. Mech. ASCE 118, No. 1, 140-160 (1992) |
| [13] | Manolis, G.: A comparative study on three boundary element method approaches to problems in elastodynamics, Int. J. Numer. meth. Eng. 19, 73-91 (1983) · Zbl 0497.73085 · doi:10.1002/nme.1620190109 |
| [14] | Militano, G.; Rajapakse, K. N. D.: Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading, Geotechnique 49, No. 1, 91-109 (1999) |
| [15] | Muki, R.; Sternberg, E.: Elastostatic load-transfer to a half-space from a partially embedded axially loaded rod, Int. J. Solids struc. 6, 69-90 (1970) · Zbl 0184.50303 · doi:10.1016/0020-7683(70)90082-X |
| [16] | Nogami, T.; Konagai, K.: Time domain axial response of dynamically loaded single piles, J. eng. Mech. ASCE 112, 1241-1252 (1986) |
| [17] | Nogami, T.; Konagai, K.: Time domain flexural response of dynamically loaded pile groups, J. eng. Mech. ASCE 114, 1512-1525 (1988) |
| [18] | Spyrakos, C. C.; Beskos, D. E.: Dynamic response of rigid strip-foundations by a time-domain boundary element method, Int. J. Numer. meth. Eng. 23, 1547-1565 (1986) · Zbl 0593.73086 · doi:10.1002/nme.1620230810 |
| [19] | Tham, L. G.; Chu, C. K.; Lei, Z. X.: Analysis of the transient response of vertically loaded single piles by time-domain BEM, Comput. geotech. 19, 117-136 (1996) |
| [20] | Wang, J. H.; Zhou, X. L.; Lu, J. F.: Dynamic response of pile groups embedded in a poroelastic medium, Soil dyn. Earth eng. 23, 235-242 (2003) |
| [21] | Zeng, X.; Rajapakse, R. K. N.D.: Dynamic axial load transfer from elastic bar to poroelastic medium, J. eng. Mech. 125, No. 9, 1048-1055 (1999) |
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