CAJ | 학술논문

考虑材料特性沿厚度按幂律梯度变化的非均匀地基，研究了在竖向和水平线荷载作用下，非均匀弹性地基与均匀弹性地基解答之间的转换关系。基于应变分量之间的变形协调条件，获得了非均匀弹性半空间在线荷载作用下的应力分量和应变分量的解析表达式，通过比较非均匀地基和均匀地基的解答，发现了它们之间的线性相关性，可将非均匀弹性地基在均布线荷载作用下的解答用相同条件下的均匀地基解答线性表示，得到了解答之间的相似转换系数的表达式，该系数集中反映了地基物理力学特性的非均匀程度。因此，借助于均匀地基的经典解答，可将非均匀地基问题的求解转化为对相似转换系数的计算，从而使得问题得以简化。为了方便应用，采用曲线图的形式给出了不同非均匀指数情形下的相似转换系数。
고필재료특성연후도안멱률제도변화적비균균지기，연구료재수향화수평선하재작용하，비균균탄성지기여균균탄성지기해답지간적전환관계。기우응변분량지간적변형협조조건，획득료비균균탄성반공간재선하재작용하적응력분량화응변분량적해석표체식，통과비교비균균지기화균균지기적해답，발현료타문지간적선성상관성，가장비균균탄성지기재균포선하재작용하적해답용상동조건하적균균지기해답선성표시，득도료해답지간적상사전환계수적표체식，해계수집중반영료지기물리역학특성적비균균정도。인차，차조우균균지기적경전해답，가장비균균지기문제적구해전화위대상사전환계수적계산，종이사득문제득이간화。위료방편응용，채용곡선도적형식급출료불동비균균지수정형하적상사전환계수。
The problem of half-space nonhomogeneous foundation subjected to vertical and horizontal linear loads is studied. The linear transformative relation between the solutions of the nonhomogeneous foundation and the corresponding homogeneous foundation is analyzed. Based on deformation compatibility condition, the analytical expressions of stress and strain component are obtained. Through comparing solutions of nonhomogeneous foundation and the corresponding homogenous foundation, linearly correlation relation between the both is found. The solution of the nonhomogeneous foundation can be linearly expressed by that of homogenous foundation with the same conditions. The transformation factors between the solutions of two kinds of soil are derived in analytic forms, witch reflect the nonhomogeneous properties of the foundation. Therefore, solutions of the non-homogenous foundation can be reduced to that of a homogenous one and the calculation of the transition parameters, which simplifies the solution procedure. For the convenience of engineering application, analogous transformation coefficient is given by graphic form with different nonhomogeneous indices.