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Vibration-based damage detection of planar and space trusses using differential evolution algorithm

机译：基于差分演化算法的基于振动的平面和空间桁架损伤检测

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In this study, an efficient damage detection technique using the differential evolution (DE) algorithm and vibration data is proposed to properly detect the locations and extents of multiple damages of truss structures. The general equilibrium equations in which the reaction forces at notes are taken into account are considered. The compatibility equations in terms of forces are presented using the singular value decomposition (SVD) technique and then the extended equations of motion are developed based on the force method. As an optimization algorithm, the differential evolution (DE) algorithm is utilized and the objective function for damage detection is based on vibration data such as natural frequencies and mode shapes. Three numerical examples for planar and space truss structures are considered to verify the effectiveness and practical applicability of the present study. The numerical results show that the proposed method based on DE and vibration data can provide a reliable tool on determining the locations and extents of multiple damages of truss structures when it compares with those obtained from the genetic algorithm. (C) 2018 Elsevier Ltd. All rights reserved.
机译：在这项研究中，提出了一种有效的利用微分演化（DE）算法和振动数据的损伤检测技术，以正确检测桁架结构多次损​​伤的位置和程度。考虑一般平衡方程，其中考虑了音符处的反作用力。利用奇异值分解（SVD）技术给出了力的相容性方程，然后基于力法建立了扩展的运动方程。作为一种优化算法，利用了差分进化（DE）算法，并且基于振动数据（例如固有频率和振型）的损伤检测目标函数。考虑了平面和空间桁架结构的三个数值示例，以验证本研究的有效性和实际适用性。数值结果表明，与基于遗传算法的结果相比，基于DE和振动数据的方法可以为确定桁架结构多次损​​伤的位置和程度提供可靠的工具。 （C）2018 Elsevier Ltd.保留所有权利。

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