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Modal curvature-based damage localization in weakly damaged continuous beams

机译：弱损伤连续梁中基于模态曲率的损伤定位

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Modal curvatures have been claimed to contain local information on damage and to be less sensitive to environmental variables than natural frequencies. However, simply using the difference between modal curvatures in the undamaged and damaged states can result into localization errors, due to the complex pattern that this quantity presents when considering broad damages or higher order modes. In this paper, we consider weakly damaged continuous beam and we exploit a perturbative solution of the beam equation of motion to obtain an analytical expression of the modal curvature variations in terms of damage distribution. The solution is then used to introduce a filtering technique of the modal curvature variation and to set up the inverse problem of damage localization based on modal curvatures only. Using numerical examples and experimental tests, we show that modal curvatures can be used for precise damage localization, once properly filtered. (C) 2018 The Authors. Published by Elsevier Ltd.
机译：据称模态曲率包含有关损伤的局部信息，并且对环境变量的敏感性低于自然频率。但是，简单地使用未损坏状态和损坏状态下的模态曲率之间的差异会导致定位误差，这是因为考虑到广泛的损坏或更高阶的模式时，此量会呈现出复杂的模式。在本文中，我们考虑了弱损伤的连续梁，并利用梁运动方程的摄动解来获得关于损伤分布的模态曲率变化的解析表达式。然后将该解决方案用于引入模态曲率变化的滤波技术，并建立仅基于模态曲率的损伤定位反问题。使用数值示例和实验测试，我们表明，模态曲率一旦经过适当过滤，便可以用于精确的损伤定位。 （C）2018作者。由Elsevier Ltd.发布

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