Analytical and numerical techniques for damage localization of rectangular plates using higher-order moments of inertia

作     者：Teimoori, Hossein Faal, Reza T. Bagheri, M. 

作者机构：Allameh Tabatabai Univ Dept Math & Comp Sci Tehran Iran Univ Zanjan Fac Engn POB 45195-313 Zanjan Iran 

出 版 物：《ACTA MECHANICA》 (力学学报)

年 卷 期：2024年第235卷第2期

页      面：851-889页

核心收录：

学科分类：08[工学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Damage detection 

摘      要：A new analytical technique for damage shape/location detection of rectangular plates weakened by some holes using a suitable number of higher-order inertia depending on the number and the shape of the holes is presented. The technique is examined for three cases, namely a plate with a triangular hole, a plate with two triangular holes and a plate with a quadrilateral hole. It is shown that the higher-order moments of inertia evaluated by strain/stress fields of the plate can capture the geometrical specifications of the holes. The results, notably, show that seven moments of inertia for one triangular hole and thirteen moments of inertia for two triangular holes are needed to locate them inside a rectangular plate. A benchmark is developed to distinguish whether the plate weakened by one triangular cavity or more. Zero-order and first-order moments of inertia give us an initial estimate of how big the shape is and where it is located. Depending on how much and in which direction the cavity is spread, we may need higher-order moments of inertia to specify the cavity shape. For a general cavity shape, an infinite number of moments of inertia are required to characterize it uniquely. The final results show that by increasing the number/size of defects, the increase in the variation percentage for higher-order moments is more than that of lower ones.