CAJ | 학술논문

基于Biot动力固结方程，应用Novak薄层方法研究了饱和土中单桩在水平冲击荷载作用下的动力响应问题。首先引入势函数对方程解耦，再通过算子分解和分离变量法，结合初始边界条件，并联立桩基振动微分方程，推导了Laplace变换域内桩身位移函数及内力表达式。采用Laplace逆变换的优化模型求得了时域内瞬态响应的封闭解。将该解退化到单相介质条件下的桩顶位移-时间曲线与已有的边界元方法的结果基本吻合，验证了解答的正确性。参数分析结果表明：桩-土模量比、长径比、渗透系数对桩身位移均影响显著，而同条件下长径比超过一特定值后则影响较小，且桩土模量比是影响桩身弯矩大小及其分布的重要参数。
기우Biot동력고결방정，응용Novak박층방법연구료포화토중단장재수평충격하재작용하적동력향응문제。수선인입세함수대방정해우，재통과산자분해화분리변량법，결합초시변계조건，병련립장기진동미분방정，추도료Laplace변환역내장신위이함수급내력표체식。채용Laplace역변환적우화모형구득료시역내순태향응적봉폐해。장해해퇴화도단상개질조건하적장정위이-시간곡선여이유적변계원방법적결과기본문합，험증료해답적정학성。삼수분석결과표명：장-토모량비、장경비、삼투계수대장신위이균영향현저，이동조건하장경비초과일특정치후칙영향교소，차장토모량비시영향장신만구대소급기분포적중요삼수。
Based on the Biot's consolidation equation, transient response of single pile embedded in isotropic saturated soil under horizontal loading is investigated by applying Novak's thin layer method. The potential function is introduced to decouple the governing differential equation, then by means of differential operator splitting and variable separation method coupled with lateral vibration differential equation of pile foundation, the expression of the horizontal displacement and the internal force of the pile in Laplace space is obtained. The closed solution of displacement of the pile is calculated by using an optimal model of numerical inverse Laplace transforms. When the soil is reduced to the single medium, the good agreement is found in the comparison between the calculated data and that of previous made by boundary element method, so as to verify the correctness of the method. Parametric studies have been carried out;and it is found that the influences of pile-soil modulus ratio, pile slenderness ratio and permeability are significant, but the effect is limited when the slenderness exceed a certain value. Besides, pile-soil stiffness ratio pays a critical role in bending moment and its distribution.