双参数地基推力长桩的水平位移解析解

Analytical Solutions About Horizontal Displacement of Laterally Loaded Long-piles Under Double-parameter Foundation

基于双参数地基理论,获得了双参数地基-桩系统的总势能泛函;采用能量变分原理推导了双参数地基推力长桩平衡微分方程及相应的边界条件;根据桩的抗弯刚度与地基参数相对大小的不同情况,求得了双参数地基推力长桩的水平位移解析解。结果表明:双参数地基模型可以模拟从离散介质到连续介质的各种地基土,性能优于传统单参数地基,考虑侧向连续性的双参数地基模型较好地模拟了桩周土体对推力长桩支承、约束及水平位移的影响;推力和弯矩对推力长桩水平位移的影响同等重要,在推力长桩受力分析中,桩端推力和弯矩应同时考虑。

Based on the theory of double-parameter foundation,total potential energy fonctionelle of double-parameter foundation and pile system was obtained.The equilibrium differential equation and corresponding boundary condition of laterally loaded long-piles under double-parameter foundation were deduced by means of energy variation principle.The analytical solutions about deflection of laterally loaded long-piles were obtained according to different relative values of pile flexural rigidity and foundation parameters.The results show that the double-parameter foundation model can simulate the different soils from discrete medium to continuous medium,whose performance excels the traditional single-parameter foundation model,which preferably simulate the influence of supporting,restraint and horizontal displacement of laterally loaded long-piles from surround soil.Moreover,the lateral force influencing to pile displacement was the same important as moment,and the lateral force and moment at the top end of piles should be considered simultaneously in the analysis of long-piles.