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针对求解泊松沉降分析模型参数由于迭代矩阵病态导致的迭代不收敛问题,基于矩阵变换理论,导出了经典Landweber迭代公式,提出了一种软土路基沉降泊松模型的多项式Landweber迭代法,给出了计算公式。基于非线性最小二乘原理,给出了公式中参数因子的确定方法和计算公式。以某高速公路的软土路基断面观测数据对算法进行了验证和分析,结果表明,所提方法有效避免了迭代矩阵病态导致的迭代不收敛情形,选择合适的参数因子后可获得理想的路基沉降分析结果。
Aiming at solving the problem of nonconvergence of iterative parameters caused by illogical parameters of iterative matrix in solving Poisson settlement model parameters, a classical Landweber iterative formula is derived based on matrix transformation theory. A polynomial Landweber iterative method is presented for the settlement of Poisson subsidence model. The calculation formula. Based on the principle of nonlinear least squares, the method of determining the parameters and the formula of the parameters in the formula are given. The algorithm is validated and analyzed based on the observation data of a section of soft soil subgrade on a highway. The results show that the proposed method can effectively avoid the non-convergence of the iteration caused by ill-conditioned iterative matrix. The optimal subgrade settlement Analysis results.