Adjoint-based Determination of Weaknesses in Structures

2023/03/27 by Facundo N. Airaudo, Rainald Löhner, Airaudo, Facundo N. +5
Computer Science · Engineering · #Advanced Measurement and Metrology Techniques #FOS: Mathematics #Numerical Analysis (math.NA) #Optical measurement and interference techniques #Optimization and Control (math.OC) #Structural Health Monitoring Techniques

paper · pdf · doi:10.48550/arxiv.2303.15329

openalex publication_date 2023/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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.

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