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Simplified Analytical Solution For Horizontal Seismic Response Of Single Piles To Vertically Incident S Waves, Chang-Jie Zheng, Yi-Qin Cui, Chen Wu, Tong Luo, Lu-Bao Luan

Rock and Soil Mechanics

Based on the continuous medium model and the pile-soil interaction, the horizontal seismic response of a single pile subjected to vertically propagating S waves was investigated by regarding the single pile as a one-dimensional linearly elastic beam. The time-harmonic displacement of bedrock was introduced as the vertically propagating S waves, and the horizontal dynamic impedance function of the soil was derived by the governing equations of the plane strain model. Analytical solutions for the seismic response of the single pile subjected to vertically propagating S waves were obtained by subsuming soil impedance into the governing equation of the single pile …