频响函数曲线拟合与模态分析精细化

董 磊1,宋汉文2,郑铁生1

振动与冲击 ›› 2016, Vol. 35 ›› Issue (2) : 69-75.

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PDF(1643 KB)
振动与冲击 ›› 2016, Vol. 35 ›› Issue (2) : 69-75.
论文

频响函数曲线拟合与模态分析精细化

  • 董  磊1,宋汉文2,郑铁生1
作者信息 +

The Refinement of FRFs curve fitting and modal analysis

  • DONG Lei1,SONG Han-wen2,ZHENG Tie-sheng1
Author information +
文章历史 +

摘要

由于Vector Fitting (VF)将有理分式函数直接分解为部分分式和的叠加,极点(模态频率)获取顺序依模态贡献量由大到小排列,可保证拟合误差随拟合阶次增大迅速收敛,故对VF方法用于模态参数辨识的可行性进行论证,优化拟合精度与计算规模,并对曲线拟合算法误差、参数稳定性、模型定阶详细讨论,实现频响函数曲线拟合的精细化。利用已有文献数据进行考核,并与商业算法比较。

Abstract

Modal analysis and parameter identification are key technologies for structural dynamics. While the range of its applications is continuously expanding, the higher analysis challenges are increasing as well. A best model order is defined on the consideration of the existence of the noise modals in orthogonal polynomial algorithm, which is most widely used in modal analysis. Unfortunately, the minimum error could not be well satisfied simultaneously. Demand for dividing the frequency range into several sub-bands is due to numerical instabilities and calculation problem with the increase of the model order. The VF algorithm decomposed the rational function by using a common set of partial fractions as basis functions. The acquisition order of the modal is based on the modal energy, which ensures the fast convergence of VF algorithm. Stabilities both on parameters of the partial fractions and numerical are acquired with the increase of the model order. In this paper, a brief review of VF is presented and the feasibility of VF in modal analysis is demonstrated. The refinement of the FRFs curve fitting is achieved by a detailed description on deviation analysis stability of the parameters and order selection. An aerospace case study is discussed and compared with another algorithm.
 

关键词

模态分析 / 参数辨识 / 频率响应函数 / 曲线拟合 / 精细化

Key words

modal analysis / parameter identification / FRFs / curve fitting / refinement

引用本文

导出引用
董 磊1,宋汉文2,郑铁生1. 频响函数曲线拟合与模态分析精细化[J]. 振动与冲击, 2016, 35(2): 69-75
DONG Lei1,SONG Han-wen2,ZHENG Tie-sheng1. The Refinement of FRFs curve fitting and modal analysis[J]. Journal of Vibration and Shock, 2016, 35(2): 69-75

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