An adjoint-based procedure to determine weaknesses, or, more generally the material properties of structures is developed and tested. Given a series of force and deformation/strain measurements, the material properties are obtained by minimizing the weighted differences between the measured and computed values. Several examples with truss, plain strain and volume elements show the viability, accuracy and efficiency of the proposed methodology using both displacement and strain measurements. An important finding was that in order to obtain reliable, convergent results the gradient of the cost function has to be smoothed.
翻译:本文开发并测试了一种基于伴随的过程,用于确定结构的弱点,或更一般地,确定结构的材料属性。给定一系列力和变形/应变测量值,通过最小化测量值与计算值之间的加权差异来获得材料属性。桁架、平面应变和体积单元的多个算例展示了所提方法在使用位移和应变测量时的可行性、准确性和效率。一个重要发现是,为了获得可靠且收敛的结果,必须对代价函数的梯度进行平滑处理。