Dynamic impedance of piles in visco-elastic material considering axial loads

Abstract

The dynamic impedance function of pile in visco-elastic material considering axial loads under lateral dynamic force was analyzed, and the beam dynamic differential equation was used to induce the dynamic impedance function. After analyzing the edge conditions, the dynamic impedance functions were deduced. Contrasted with the result that does not consider axial loads, the axial loads have obvious influence on the dynamic impedance function. And the results show that the dimensionless parameter of the dynamic impedance will change from 6% to 9% when considering axial loads, and dimensionless parameter of the dynamic impedance of the coupling horizontal-sway will increase by 31%.

Keywords

impedance function / dynamic analysis / axial loads

References

[1] NovakMilos. Dynamic Stiffness and Damping of Piles. Canadian Geotechnical Journal, 1974, 11(4): 574-598

[2] NogamiT., NovakM.. Resistance of soil to a horizontally vibrating pile. Earthquake Engineering & Structural Dynamics, 1977, 5(3): 249-261

[3] NovakM, SharnoubyB E. Stiffness constant of single piles[J]. Journal of Geotechnical Engineering, 1983, 109(7): 961-974

[4] DobryR, GazetasG. Simple method for dynamic stiffness and damping of floating pile groups[J]. Getechnique, 1988, 38(4): 557-574

[5] Dou H, Byrne P M. Dynamic response of single piles and soil-pile interaction[J]. Canada Geotechnique Journal, 1996(33): 80–96.

[6] MindlinRaymond D.. Force at a Point in the Interior of a Semi‐Infinite Solid. Physics, 1936, 7(5): 195-202

[7] Penzien J, Scheffly C F, Parmelee R A. Seismic analysis of bridges on long piles[J]. Journal Engineering Mechanic Division of ASCE, 1964(90): 223–254.

[8] MarkrisN, GazetasG. Dynamic pile-soil-pile interaction(part II)—lateral and seismic response[J]. Earthquake Engineering and Structural Dynamics, 1992, 21(2): 145-162

[9] JiangJiang-guo, ZouYing-sheng, ZhouXuhong, et al.. Dynamic interaction factor under lateral seismic excitation considering the effect of axial load[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(6): 764-768(in Chinese)

[10] LiYao-zhuangDynamic Interaction of Visco-Elastic Foundation-Pile Raft Base-Super Structure [D], 1999, Changsha, Hunan University(in Chinese)

[11] MakrisN. Soil-pile interaction during the passage of rayleigh waves: an analytical solution[J]. Earthquake Engineering and Structural Dynamics, 1994, 23(2): 647-664