Application of R2PSO Algorithm in Crack Detection of Functionally Graded Beams

IF 0.8 4区工程技术 Q4 ACOUSTICS

International Journal of Acoustics and Vibration Pub Date : 2017-12-01 DOI:10.20855/ijav.2017.22.4488

Mojtaba Eftekhar, S. Kamyab, M. Eftekhari, M. Hosseini

引用次数: 0

Abstract

A fault diagnosis procedure based on r2PSO algorithm—a newly developed version of particle swarm optimization (PSO)—is presented for detecting crack depth and location in a functionally graded material (FGM) cantilever beam. The governing equation and boundary conditions are obtained by using the extended Hamilton’s principle, and the characteristic equation is obtained as a function of position ratio and depth ratio of crack. Identification of the crack is formulated as an optimization problem. The r2PSO algorithm is used to find the optimal solution of the cost function, which is based on the summation of the absolute value of the characteristic equation for three natural frequencies. The position ratio and depth ratio of crack are computed by algorithm, when three natural frequencies of FGM beam are entered to algorithm as inputs. The obtained results confirm the applicability and efficiency of r2PSO to calculate the parameters of crack with high accuracy and suitable convergence rate.

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R2PSO算法在功能梯度梁裂缝检测中的应用

提出了一种基于r2PSO算法（粒子群优化算法的新发展版本）的故障诊断程序，用于检测功能梯度材料（FGM）悬臂梁中的裂纹深度和位置。利用扩展的Hamilton原理得到了控制方程和边界条件，并得到了作为裂纹位置比和深度比函数的特征方程。裂纹的识别被公式化为一个优化问题。r2PSO算法用于寻找成本函数的最优解，该最优解基于三个固有频率的特征方程的绝对值之和。以FGM梁的三个固有频率为输入，用该算法计算了裂纹的位置比和深度比。所得结果证实了r2PSO算法在计算裂纹参数方面的适用性和有效性，具有较高的精度和适当的收敛速度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Acoustics and Vibration ACOUSTICS-ENGINEERING, MECHANICAL

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

12 months

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