结构识别计算中基于L曲线的模型确认方法研究

张立涛;李兆霞;张宇峰;费庆国

振动与冲击 ›› 2011, Vol. 30 ›› Issue (11) : 36-41.

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PDF(1015 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (11) : 36-41.
论文

结构识别计算中基于L曲线的模型确认方法研究

  • 张立涛1; 李兆霞2; 张宇峰1; 费庆国2
作者信息 +

Methodology of L-curve based model validation in structural identification

  • Zhang Li-tao1; Li Zhao-xia2; Zhang Yu-feng1; Fei Qing-guo2
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摘要

模型确认方法的判断标准是考察包含识别参数的模型对待识别结构进行描述的精确程度。但由于对待识别结构系统的认识不足以及计算效率的考虑,通常会产生识别参数的不当选取问题,导致模型对待识别结构的描述总是存在不完善之处;当这种不完善较显著时,传统的模型确认方法通常会失效。为此,本文结合结构识别问题的求解可采用正则化技术来改善其不适定性的特点,引入不同识别结果 所对应目标函数与 的范数之间的对应规律作为先验条件,提出了一种基于L曲线的模型确认方法,有望弥补传统模型确认方法的上述不足。以一弹簧-质量系统、BENCHMARK结构分别作为仿真算例、试验算例,对所得模型进行了确认;结果表明:传统确认方法不能准确指出试验算例的合理模型,而基于L曲线的模型确认方法对仿真算例与试验算例均可指出合理模型;从而证明了本文研究的基于L曲线的模型确认方法的有效性。

Abstract

A method of model validation is carried out according to accuracy of the model with identification parameters describing the structure to be identified. Identification parameters are usually not selected appropriately, however, due to the absent knowledge of the structure and to the improvements on calculation efficiency. Therefore, there is always inconsistency between the model and the structure and, when it is rather obvious, the traditional method of model validation often fails. In order to deal with the problem, a L-curve based method of model validation was proposed. The method not only exploited the condition that regularization techniques may be adopted to improve the ill-posedness of solutions of structural identification, but also applied the correlation between objective functions of identification results and norms of as a priori knowledge. As it was carried out according to the rules summarized in numerical calculations, the proposed method was expected to improve the above disadvantage of the traditional one. Validation of the given models was carried out using the L-curve based method with one spring-mass system and BENCHMARK structure as numerical and experimental examples respectively. The results showed that the traditional method could not find the best model among the obtained ones in the experimental example while the proposed method could pick out the best one in both the numerical and experimental example, which proved the validity of the proposed L-curve based method of model validation.

关键词

结构识别计算 / 模型确认 / L曲线

Key words

structural identification / model validation / L-curve

引用本文

导出引用
张立涛;李兆霞;张宇峰;费庆国. 结构识别计算中基于L曲线的模型确认方法研究[J]. 振动与冲击, 2011, 30(11): 36-41
Zhang Li-tao;Li Zhao-xia;Zhang Yu-feng;Fei Qing-guo. Methodology of L-curve based model validation in structural identification[J]. Journal of Vibration and Shock, 2011, 30(11): 36-41

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