用变分法解群桩-承台(筏)系统

VARIATIONAL SOLUTION FOR PILE GROUP-PILE CAP(RAFT)

分别将群桩、承台 (筏 )选用各自合适的位移模式 ,并将能量变分方法应用于群桩 承台 (筏 )系统 ,用最小势能原理求解各参数。应用本文方法 ,可以很方便地得到群桩 承台 (筏 )系统中各桩所受荷载及沉降 ,承台各任意位置的弯矩、扭矩、正应力和剪应力。本文方法极大地减少了计算量 。

A variational method is proposed to study the behavior of a pile group in the paper. It is vertically loaded and embedded in homogeneous soil with a pile cap (raft)not in contact with the ground. The pile group and the pile cap (raft)are considered as a system, and the influence of structural rigidity on the behavior of such a system is taken into account. With the use of a variational method, the settlements of the pile group and pile cap (raft)are each represented by an appropriate mode. The principle of minimum potential energy is used to determine all parameters and the response of such a system. It is convenient to get the stress and settlement of each pile, also the bending moment, twisting moment, normal stress of pile cap(raft)by the proposed method. It is shown that the results of the method are in agreement with that of the other reported.