Damage Identification method of Beam Structures Based on 
Frequency Variation and Genetic Algorithm

doi:10.3969/j.issn.1674-0696.2014.04.02

Abstract

Abstract: A damage identification method of simply-supported beam structures containing a crack was presented. The damaged section was simulated by a bending spring with varying stiffness, and the equation of free vibration of simply supported beam containing a crack was established and solved. The optimization problem was proposed on the basis of frequency variation and was solved by genetic algorithm. A numerical example was studied. The results show that the location and depth of the crack can be accurately identified when random error is not considered. In the case that the random error is considered, the damage can be well identified when the crack is deep and can’t be identified when the crack is shallow.

Key words: bridge engineering;simply supported beam, frequency variation, damage identification, crack, genetic algorithm

摘要： 提出了一种含裂缝简支梁式结构的损伤识别方法。以一个变刚度的弯曲弹簧模拟损伤截面从而建立含裂缝的简支梁自由振动方程并进行求解，基于频率变化建立优化问题并采用遗传算法进行求解。对一个数值算例进行了研究，结果表明：在不考虑随机误差时，可以精确识别裂缝位置和深度；考虑随机误差时，裂缝深度较大时仍可准确识别损伤，裂缝深度较小时识别方法失效。

关键词: 桥梁工程, 简支梁, 频率变化, 损伤识别, 裂缝, 遗传算法

CLC Number:

TU311

Zhang Xiaodong. Damage Identification method of Beam Structures Based on Frequency Variation and Genetic Algorithm[J]. Journal of Chongqing Jiaotong University(Natural Science), 2014, 33(4): 7-11.

张晓东. 一种基于频率变化和遗传算法的梁式结构损伤识别方法[J]. 重庆交通大学学报（自然科学版）, 2014, 33(4): 7-11.

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Damage Identification method of Beam Structures Based on Frequency Variation and Genetic Algorithm

一种基于频率变化和遗传算法的梁式结构损伤识别方法

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