基于改进Jaya算法和组合相关函数的结构损伤识别

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摘要针对Jaya算法计算精度差、收敛速度慢、易陷入局部最优而提前收敛等问题，为提高算法的性能，引入Hammersley序列初始化、Lévy飞行搜索、经验学习策略得到改进Jaya算法。计算加速度响应互相关函数的所有组合，得到组合相关函数，在此基础上提出基于改进Jaya算法和组合相关函数的结构损伤识别方法。利用随机激励下多自由度体系模型验证该识别方法的有效性，并讨论不同的优化算法、噪声等级、采样频率、采样时间、数据点数、传感器数量、模型误差等因素对识别结果的影响。研究结果表明，与遗传算法和Jaya算法相比，改进Jaya算法可以更好平衡全局搜索和局部搜索，加快收敛速度，提高识别精度；改进Jaya算法和组合相关函数的损伤识别方法在20%噪声下仍然可以准确识别结构刚度损伤位置和程度。

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	张广才
	赵文龙
	万春风

关键词 ：结构损伤识别；Jaya算法；组合相关函数；Hammersley序列；Lé, vy飞行；经验学习

Abstract：Since the traditional Jaya algorithm may have the disadvantages of poor computational accuracy, slow convergence speed, easy to be trapped into local optimum and premature convergence. To enhance the performance of Jaya algorithm, an improved Jaya algorithm is proposed by introducing Hammersley sequence initialization, Lévy flight search and experience-based learning strategy. In addition, the combined correlation function is obtained by calculating all cross-correlation functions of acceleration responses. On this basis, a structural damage identification method based on improved Jaya algorithm and combined correlation function is proposed, and its effectiveness is verified by multiple degree-of-freedom shear-type structure under random excitation. Besides, the effects of optimization algorithms, noise levels, sampling frequencies, sampling duration, data points, number of sensors and modelling error on damage identification results are discussed. The computational results demonstrate that compared with genetic algorithm and Jaya algorithm, the improved Jaya algorithm can better achieve the balance between global search and local search, accelerate convergence speed and improve identification accuracy; the proposed identification method based on improved Jaya algorithm and combined correlation function can still accurately identify the location and extent of structural damages even with 20% noise contaminated responses.

Key words： structure damage identification Jaya algorithm combined correlation function Hammersley sequence Lévy flight experience-based learning

收稿日期: 2022-06-27 出版日期: 2023-10-28

引用本文:

张广才，赵文龙，万春风. 基于改进Jaya算法和组合相关函数的结构损伤识别[J]. 振动与冲击, 2023, 42(20): 300-308.
ZHANG Guangcai, ZHAO Wenlong, WAN Chunfeng . Structural damage identification based on an improved Jaya algorithm and a combined correlation function. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(20): 300-308.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I20/300

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