Kinematic response of single piles to vertically incident P‐waves

Abstract

SUMMARYDynamic response of single piles to seismic waves is fundamentally different from the free‐field motion because of the interaction between the pile and the surrounding soil. Considering soil–pile interaction, this paper presents a new displacement model for the steady‐state kinematic response of single piles to vertically incident P‐waves on the basis of a continuum model. The governing equations and boundary conditions of the two undetermined functions in the model are obtained to be coupled by using Hamilton's principle. Then, the two unknown functions are decoupled and solved by an iterative algorithm numerically. A parametric study is performed to investigate the effects of the properties of the soil–pile system on the kinematic response of single piles. It is shown that the effects of the pile–soil modulus ratio, the slenderness ratio of the pile, and the frequency of the incident excitations are very significant. By contrast, the influence of soil damping on the kinematics of the system is slight and can be neglected. Copyright © 2013 John Wiley & Sons, Ltd.

Transverse seismic response of end‐bearing pipe piles to S‐waves

“…and substituting Equations ( 43) and (44) into Equations ( 37) and (38) results in the following equations:…”

“…[29][30][31][32][33][34][35][36][37][38][39][40][41] The main challenge with using analysis methods based on the BDWF concept is determining the parameters of springs and dashpots, as this often requires calibration of approximate, empirical formulas on detailed simulations. Rigorous modelling of kinematic soil-pile interaction is in fact possible by means of continuum analytical models, such as ones proposed by Anoyatis et al 42 and Dai et al 43 for piles subjected to P-waves or the model of Liu et al 44,45 for piles subjected to P-and S-waves, which employs the modified Vlasov model to quantify soil-pile interaction. The abovementioned studies concern solid piles.…”

“…and Dai et al 43 . for piles subjected to P‐waves or the model of Liu et al 44,45 . for piles subjected to P‐ and S‐waves, which employs the modified Vlasov model to quantify soil‐pile interaction.…”

Research on Longitudinal Seismic Response of Continuous Welded Rail on Bridge with High-Pier and Long-Span

“…In recent years, with the rapid development of China's railway construction, more and more railway bridges need to be constructed at the mountain areas. Bridges with high-piers and long-spans represented by concrete rigid frame bridges and continuous beam bridgs become the preferred bridges where lines cross the valleys or river areas [1][2].…”