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基于位移原形观测资料,采用修正的高斯-牛顿算法求解最小二乘问题识别混凝土和岩石介质的弹性模量。建 立了考虑先验信息的修正高斯-牛顿算法的迭代格式和迭代步长的确定方法。结合数值算例,研究了参数识别中需要 解决的反问题的唯一性和稳定性问题。最后介绍了此方法在工程中的实际应用情况。
Based on the displacement prototype observation data, the modified Gauss-Newton algorithm is used to solve the least squares problem to identify the elastic modulus of concrete and rock media. The iterative format and the iterative step size of the modified Gauss-Newton algorithm considering prior information are established. With numerical examples, the uniqueness and stability of inverse problems need to be solved in parameter identification. Finally, the practical application of this method in engineering is introduced.