基于同伦迭代算法的弱耦合梁的损伤识别

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (11) : 178-181.

论文

基于同伦迭代算法的弱耦合梁的损伤识别

雷晓光，吕中荣，刘济科

作者信息 +

Damage detection in weakly coupled beams with repeated natural frequencies based on homotopy iteration

X.G. Lei, Z. R. L and J. K. Liu

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文章历史 +

摘要

本文应用有限元方法将多跨连续梁结构简化为弱耦合的欧拉－伯努利梁模型，利用Newmark积分法直接积分法求出系统在外激励作用下的动态响应。在结构的损伤识别过程中以结构抗弯刚度的减少作为损伤识别参数进行损伤识别，通过最小二乘法来构造同伦方程。该方法的收敛不依赖于初始值的选择，并且可以对具有重频的多跨结构进行准确识别。讨论了模拟人工测量噪声对损伤识别结果的影响。数值模拟算例表明本方法能够快速有效地检测出弱耦合梁的局部损伤，并具有精度高，对测量噪声不敏感等特点。

Abstract

In this paper, multi-span continuous beam is modeled as a weakly coupled Euler-Bernoulli beam system by using the finite element method. The system dynamic response was obtained by using Newmark direct integration method under external excitation force. In the process of structural damage identification, the reduction in elemental flexural rigidity is used as the damage parameters. The homotopy equation is constructed by least squares method iteratively. Study shows that the convergence of the method does not depend on the choice of the initial value. And this method can be able to identify damage of multi-span structure with repeated natural frequencies accurately. The effect of artificial measurement noise on the identified results is also discussed. Numerical simulation shows that the proposed method can detect the damages quickly and effectively in the weak coupled beam system, and the proposed method is found to be insensitive to the measurement noise.

导出引用

雷晓光;吕中荣;刘济科. 基于同伦迭代算法的弱耦合梁的损伤识别[J]. 振动与冲击, 2013, 32(11): 178-181

X.G. Lei;Z. R. L and J. K. Liu. Damage detection in weakly coupled beams with repeated natural frequencies based on homotopy iteration [J]. Journal of Vibration and Shock, 2013, 32(11): 178-181