摘要
利用传递矩阵法，导出了层状弹性半空间轴对称静力问题在地层内作用轴对称力源，层间完全接触情况下奇异解的一般解析表达式。由于不必要引入应力函数，所以本方法概念清晰，易懂，便于实际应用。
Multilayered model, which can better simulate the realistic soil medium, has been studied in this paper. By using wavenumber integration method, theoretical analysis has been accomplished for the problem of statics of the multilayered medium. Starting from the basic equations of elasticity expressed in terms of displacements and employing integral transformation techniques, we transform the boundary value problem into a system of ordinary differential equations in the wavenumber domain. For the analysis of the static axisymmetric problem in the multilayered elastic halfspace, the Fourier transformation about the azimuthal angle and Hankel transformation about the radial direction have been used to turn the basic displacement equations under cylindrical coordinate system into a system of second order ordinary differential equations. The initial parameter method is applied to solve the differential equations. A transfer matrix of the layered medium is created and the analytical solution for arbitrary load acting on the earth surface in the multilayered elastic halfspace has been obtained.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
1997年第2期300-304,共5页
Journal of Northwestern Polytechnical University
关键词
奇异解
轴对称静力
层状弹性半空间
静力问题
layered media, singular solution, transfer method, integral transformation
