一种基于新的正则化技术的冲击载荷识别法

马超,华宏星

振动与冲击 ›› 2015, Vol. 34 ›› Issue (12) : 164-168.

PDF(1787 KB)
PDF(1787 KB)
振动与冲击 ›› 2015, Vol. 34 ›› Issue (12) : 164-168.
论文

一种基于新的正则化技术的冲击载荷识别法

  • 马超 ,   华宏星
作者信息 +

An impact force identification method based on an improved regularization technique

  • Chao M,Hongxing H
Author information +
文章历史 +

摘要

针对冲击载荷和响应的卷积积分关系,本文将卷积积分离散化,从而把冲击载荷识别问题转为对简单代数方程的求解。由于冲击载荷识别问题往往是不适定的,为了获得稳定解,常采用Tikhonov正则化技术来处理,可识别出的载荷的精度不是很高,本文提出采用一种新的正则化技术对该问题进行了处理。数值结果表明,该方法相对于传统Tikhonov正则化方法具有更强的抗噪性和鲁棒性,为载荷识别的高精度提供参考。

Abstract

 According to the convolution integral relationship between the impact force and response, the paper discrete the convolution equation and change the integral equation to simple algebraic equation. Due to the force identification problem is a well-known ill-posed problem, and the solution is unstable. In order to obtain the stable solution, an improved regularization technique is used in this paper. Numerical tests are made to verify the proposed method, and the results are compared with the ones identified by the traditional Tikhonov regularization method, they show the proposed method gives better results than the traditional Tikhonov regularization method.

关键词

卷积积分 / 冲击载荷识别 / 病态问题 / 稳定解 / 正则化

Key words

convolution integral / impact force identification / ill-posed problem / stable solution / regularization

引用本文

导出引用
马超,华宏星. 一种基于新的正则化技术的冲击载荷识别法[J]. 振动与冲击, 2015, 34(12): 164-168
Chao M,Hongxing H. An impact force identification method based on an improved regularization technique[J]. Journal of Vibration and Shock, 2015, 34(12): 164-168

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