基于多元正交函数的风洞天平校准建模方法

闫万方; 魏巍; 蒋坤; 魏忠武; 张江

doi:10.7638/kqdlxxb-2024.0078

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基于多元正交函数的风洞天平校准建模方法

研究论文 | 更新时间：2026-05-28

- 基于多元正交函数的风洞天平校准建模方法
- Calibration modeling of wind tunnel balance based on multivariate orthogonal functions
- 空气动力学学报 2026年44卷第1期页码：39-47
- 作者机构：
  
  中国航天空气动力技术研究院,北京,100074
- 作者简介：
  
  闫万方*，（1990—），男，甘肃张掖人，高级工程师，研究方向：实验空气动力学，风洞试验技术. E-mail：yanwanfangs@163.com
- 基金信息：
  
  省部级项目（80000900199C1825021）
- DOI：10.7638/kqdlxxb-2024.0078
  中图分类号： V221.7
- 纸质出版：2026
- 稿件说明：
移动端阅览
闫万方, 魏巍, 蒋坤, 等. 基于多元正交函数的风洞天平校准建模方法[J]. 空气动力学学报, 2026, 44(1): 39−47.

Yan Wanfang, Wei Wei, Jiang Kun, et al. Calibration modeling of wind tunnel balance based on multivariate orthogonal functions[J]. 2026, 44(1): 39-47.
闫万方, 魏巍, 蒋坤, 等. 基于多元正交函数的风洞天平校准建模方法[J]. 空气动力学学报, 2026, 44(1): 39−47. DOI： 10.7638/kqdlxxb-2024.0078

Yan Wanfang, Wei Wei, Jiang Kun, et al. Calibration modeling of wind tunnel balance based on multivariate orthogonal functions[J]. 2026, 44(1): 39-47. DOI： 10.7638/kqdlxxb-2024.0078.

摘要

针对载荷极不匹配天平校准建模时，因模型结构确定困难、参数估计不准而导致建模误差较大的问题，发展了基于多元正交函数的风洞天平校准建模方法。采用多元正交函数建模，并利用预测均方误差准则对模型项进行筛选，使模型结构选取与参数估计过程解耦。为验证模型的有效性，针对某载荷极不匹配“多体式”焊接天平，开展了滚转力矩

的高精度测量建模。结果表明，相比于传统全回归和逐步回归方法，采用正交函数法建模可获得拟合适用性更优的回归模型，拟合误差带内较大误差点的误差抑制效果较好；验证集均方误差与之相比分别降低28.6%和16.2%。针对焊接型天平的“双向特性”测量问题，利用本文建模方法引入绝对值项后，验证集均方误差进一步降低，建模效果显著。

Abstract

The performance of wind tunnel balance

which largely depends on the calibration modeling

plays a decisive role in the wind tunnel test capabilities and force measurement accuracy. However

there are still challenges for the calibration modeling in extreme conditions

two of which are inaccurate model feature selection and parameter estimation. This paper proposes a novel wind tunnel balance modeling method based on multivariate orthogonal functions coupled with the predicted squared error criterion for selecting model terms so that the model feature selection and parameter estimation processes are decoupled. This innovative method has been rigorously

validated by its application to a multi-piece welding balance. The measured high-precision

demonstrates that the regression model with better fitting applicability can be obtained using the orthogonal functions method

and the mean square error of the verification set can be reduced by 28.6% and 16.2%

respectively

when compared with the traditional total regression and stepwise regression methods. Moreover

for bidirectional welded balance

introducing the absolute value into the model can further reduce the mean squared error of the verification set

yielding a remarkably accurate model.

关键词

Keywords

references

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