几种常见荷载作用下横观各向同性地基轴对称问题的解析解  

ANALYTICAL SOLUTION FOR AXIAL SYMMETRIC PROBLEMS OF TRANSVERSELY ISOTROPIC FOUNDATION UNDER SEVERAL COMMON LOADS

作　　者：顿志林[1] 刘干斌[2] 

机构地区：[1]焦作工学院土木建筑工程系,河南焦作454000 [2]浙江大学土木系,浙江杭州310027

出　　处：《工程力学》2003年第6期187-194,181,共9页Engineering Mechanics

基　　金：河南省自然科学基金资助项目(974040900)

摘　　要：通过对各向同性弹性体力学中拉甫位移函数重新修正,应用位移解法,利用Hankel积分变换理论,在象域内得到横观各向同性地基的通解,运用汉克尔积分反演变换得到了半无限地基在几种常见荷载(圆形均布、集中力、刚性承载板)作用下的应力和位移解析解,并给出了数值计算结果。A general solution for transversely isotropic foundation in the image field is obtained. The Love抯 displacement function is modified and the Hankel integration transform is employed in the solution. With the inverse Hankel integration transform, the solution of stress and displacement for half-space foundation under several common loads, such as circular uniformly distributed load, concentrated load and rigid plate load, is obtained. Numerical results are provided.

关 键 词：工程力学 横观各向同性地基 轴对称问题:积分变换 

分 类 号：TB12[理学—工程力学] TU4[理学—力学]