基于小波有限元的悬臂梁裂纹遗传优化辨识

李 兵;陈雪峰;何正嘉

振动与冲击 ›› 2009, Vol. 28 ›› Issue (12) : 27-29.

PDF(843 KB)
PDF(843 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (12) : 27-29.
论文

基于小波有限元的悬臂梁裂纹遗传优化辨识

  • 李 兵;陈雪峰;何正嘉
作者信息 +

Identification of Crack for the Cantilever Beam Based on Wavelet Finite Element Methods and Genetic Algorithm

  • Li Bing;Chen Xuefeng;He Zhengjia
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摘要

利用小波有限元法求解了裂纹悬臂梁的前三阶固有频率,并将其拟合成以裂纹位置和深度作为变量的频响函数曲面。将裂纹识别中的匹配追踪问题转化为多维优化问题,以实测固有频率作为输入,利用遗传算法寻优求解出与输入值相差最小的样本点,进而预测出裂纹的位置和深度。试验研究表明,所提出的裂纹识别方法具有较好的精度和鲁棒性,且易于推广到诸如转子、叶片等复杂结构的裂纹监测诊断场合。

Abstract

The nature frequencies of the cantilever beams with various crack locations and depths are accurately obtained by means of wavelet finite element methods, and then surface-fitting technique is employed to approximate frequency response functions. Measured natural frequencies are used in a crack detection process and the crack location and size can be identified through using genetic algorithm. The experimental results verify the validity of the method, which provides a powerful evidence for practical application.

关键词

裂纹 / 识别 / 小波有限元 / 固有频率

Key words

Crack / Identification / Wavelet finite element methods / Nature frequenc

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李 兵;陈雪峰;何正嘉. 基于小波有限元的悬臂梁裂纹遗传优化辨识[J]. 振动与冲击, 2009, 28(12): 27-29
Li Bing;Chen Xuefeng;He Zhengjia. Identification of Crack for the Cantilever Beam Based on Wavelet Finite Element Methods and Genetic Algorithm[J]. Journal of Vibration and Shock, 2009, 28(12): 27-29

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