分层土中变截面桩振动问题半解析解的研究

摘要

Assuming that pile is an elastic member and soil represented by a series of vertical springs and dashpots,the mathematical model of vibration of pile with several various sections is established taking account of pile and layered-soil interaction.Using the method of integral transform,semi-analytical solution for a pile response under exciting force in the head of pile is gained.The expression of the pile top reponse when subjected to transient force is given,and the effects of exciting force and degree of variable section on the pile top velocity response are studied respectively.%本文首先考虑桩端的弹性阻尼支承，建立了具有多个变截面的桩与分层土相互作用的数学模型。其次，采用积分变换法对该模型进行了求解，得到了在桩顶任意荷载激振下桩顶振动响应的半解析解。最后，获得了瞬态半个正弦波荷载作用下桩顶速度响应的半解析解，并且研究了激振力的持续时间、变截面程度对桩顶速度时域响应的影响。