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对线弹性含损伤板的损伤识别问题进行了较深入的理论研究。首先将损伤识别问题转化为对板的抗弯刚度的识别问题来考虑,在构造识别抗弯刚度的迭代过程中,采用格林函数法对抗弯刚度增量表示的近似偏微分方程进行变换,得到Fredholm 第一类积分,离散化后可建立抗弯刚度增量与板的挠度的关系,实现用传感器埋设点的挠度实测值对损伤物性参数识别的目的
A more in-depth theoretical study has been carried out on the damage identification of linear elastic damaged plates. Firstly, the problem of damage identification is transformed into the identification of the bending stiffness of the plate. During the iterative process of identifying the bending stiffness, Green’s function method is used to transform the approximate partial differential equation which is expressed by the increment of bending rigidity. The first type of Fredholm integral, after discretization, establishes the relationship between the increment of flexural rigidity and the deflection of the slab, and realizes the purpose of identifying the physical property parameters of the damage by using the measured values of deflection at the buried point of the sensor