论文部分内容阅读
针对含损伤的二维线弹性板的损伤识别问题展开研究 ,用变分原理对无自由边的线弹性薄板建立了含损伤的挠度函数表达式。以损伤物性参数为识别变量 ,建立泛函并取极值 ,得到识别向量的迭代公式 ,为避免非线性带来的病态问题 ,在迭代过程中 ,加入正则化技巧 ,讨论了最优解的特性 ,并给出了迭代算法的计算步骤
Aiming at the damage identification of two-dimensional linear elastic plates with damage, a variational principle is used to establish the expression of the deflection function with damage for the linear elastic plates without free edges. In order to avoid the pathological problems caused by nonlinearity, we establish the iterative formula of functional identification by taking the physical property parameter of damage as the identification variable, and establish the functional and take the extreme value. By adding the regularization technique in the iterative process, the properties of the optimal solution are discussed , And gives the calculation steps of iterative algorithm