南昌大学学报（理科版）
南昌大學學報（理科版）
남창대학학보（이과판）
JOURNAL OF NANCHANG UNIVERSITY(NATURAL SCIENCE)
2014年
5期
438-445
,共8页
弹性半空间%弯曲理论%数值积分%最小二乘法%位移场%应力场
彈性半空間%彎麯理論%數值積分%最小二乘法%位移場%應力場
탄성반공간%만곡이론%수치적분%최소이승법%위이장%응력장
the elastic half space%bending theory%numerical integration%the least square method%displace-ment field%stress field
针对弹性半空间地基上圆形基础底板的弯曲问题，根据地基土壤的受力特性和已有实验研究成果，假设圆形基础底板底部与地基土壤之间是由竖向集中荷载引起的接触应力分布形式，采用板的弯曲理论和通过数值积分及最小二乘法拟合的方法，推导出完全满足边界条件的弹性半空间地基上圆形基础底板上部受集中力作用、下部受幂函数形式连续分布荷载作用时的位移场、径向和环向应力场的表达式。尽管圆形基础板属于中厚度板，但是该表达式的计算精度和可靠性得到了有限元分析软件 ANSYS验证。
針對彈性半空間地基上圓形基礎底闆的彎麯問題，根據地基土壤的受力特性和已有實驗研究成果，假設圓形基礎底闆底部與地基土壤之間是由豎嚮集中荷載引起的接觸應力分佈形式，採用闆的彎麯理論和通過數值積分及最小二乘法擬閤的方法，推導齣完全滿足邊界條件的彈性半空間地基上圓形基礎底闆上部受集中力作用、下部受冪函數形式連續分佈荷載作用時的位移場、徑嚮和環嚮應力場的錶達式。儘管圓形基礎闆屬于中厚度闆，但是該錶達式的計算精度和可靠性得到瞭有限元分析軟件 ANSYS驗證。
침대탄성반공간지기상원형기출저판적만곡문제，근거지기토양적수력특성화이유실험연구성과，가설원형기출저판저부여지기토양지간시유수향집중하재인기적접촉응력분포형식，채용판적만곡이론화통과수치적분급최소이승법의합적방법，추도출완전만족변계조건적탄성반공간지기상원형기출저판상부수집중력작용、하부수멱함수형식련속분포하재작용시적위이장、경향화배향응력장적표체식。진관원형기출판속우중후도판，단시해표체식적계산정도화가고성득도료유한원분석연건 ANSYS험증。
In order to solve the bending problem of the circular base plate which is pushed on the half-space elastic foundation,we introduced a significant equation.It’s theoretical verification of the issue was also presented.According to the forced characteristics of foundation soil and currently existing research achieve-ments,we assumed that the contact force distribution between the bottom of the circular base plate and the foundation soil is was loaded by the vertical concentrated force.As a result,the expressions,which com-pletely satisfied the boundary conditions of the multiple-forced circular base plate,were obtained by adop-ting the method of the numerical integration and the generalized least squares.Although circular base plates belong to middle thickness plates,the precision and reliability of the expressions were verified by ANSYS.
