# [1]廖聿宸,张坤,宗周红,等.基于S型函数的随机子空间模型定阶方法[J].东南大学学报(自然科学版),2020,50(3):440-446.[doi:10.3969/j.issn.1001-0505.2020.03.005] 　Liao Yuchen,Zhang Kun,Zong Zhouhong,et al.Model order determination method of stochastic subspace based on S-type function[J].Journal of Southeast University (Natural Science Edition),2020,50(3):440-446.[doi:10.3969/j.issn.1001-0505.2020.03.005] 点击复制 基于S型函数的随机子空间模型定阶方法() 分享到： var jiathis_config = { data_track_clickback: true };

50

2020年第3期

440-446

2020-05-20

## 文章信息/Info

Title:
Model order determination method of stochastic subspace based on S-type function

1东南大学土木工程学院, 南京 211189; 2中交第二公路勘察设计研究院有限公司, 武汉430056
Author(s):
1School of Civil Engineering, Southeast University, Nanjing 211189, China
2CCCC Second Highway consultants Co., Ltd., Wuhan 430056, China

Keywords:

TU317
DOI:
10.3969/j.issn.1001-0505.2020.03.005

Abstract:
A model order determination method based on function fitting was proposed to reasonably determine the model order during the application of the stochastic subspace identification method. Firstly, the singular value decomposition was performed on the projection matrix. Then, the S-type function was adopted to fit the normalized singular value. Finally, the model order was estimated according to the fitting function. The simulation of a spring-vibrator system was used to study the results of the order determination at different noise levels. Modal analysis of a cable-stayed bridge was used to verify the application effect of the method. The simulation results indicate that the recognized model orders at the noise levels of 0%, 5%, 10%, 15% and 20% are the same, showing the good stability of the proposed method. The relative errors between the modal frequencies based on the results of order determination and the ambient vibration test results of the real bridge are less than 5%, proving the effectiveness of the proposed method.

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