成层地基位移反分析的数值计算

Numerical Calculation of a Displacement Inverse Analysis for the Straticulate Bedding

承压板变形试验被用来测量地基表面和深孔的位移，进而利用反分析估计成层地基的弹性模量，评价大坝的安全性．研究了非均匀弹性问题中奇异积分的收敛性和算法．在分析反问题中误差函数的拟凸性质的基础上，利用非线性变换改善误差函数的拟凸性质。

The safety of a dam is one of the most important problems in the irrigation works. Deformation tests on the bearing board are used to measure the displacement of the surface of bedding and the deep hole, and the modulus of elasticity of the straticulate bedding is estimated with the inverse analysis method so that the safety of the dam can be evaluated. The convergence and algorithm of the singular integral in the elasticity problem are studied. Some quasi convex properties of the error function are analyzed and nonlinear transform is used to improve the convex property of the error function. An improved variable metric method with restart strategy is used to handle the measured data.