基于随机激励响应的参数识别相关函数法

doi:10.3969/j.issn.1674-0696.2021.04.11

重庆交通大学学报（自然科学版） ›› 2021, Vol. 40 ›› Issue (04): 70-75.DOI: 10.3969/j.issn.1674-0696.2021.04.11

基于随机激励响应的参数识别相关函数法

傅立磊

(厦门市市政建设开发有限公司，福建厦门 361000)

收稿日期:2019-11-21 修回日期:2020-05-02 出版日期:2021-04-16 发布日期:2021-04-19
作者简介:傅立磊(1985—)，男，安徽滁州人，博士研究生，主要从事风工程试验研究方面的研究。E-mail：fulilei1985@163.com
基金资助:
国家自科基金面上项目（51778551）

Correlation Function Method for Parameter Identification Based on Random Excitation Response

FU Lilei

(Xiamen Municipal Construction and Development Co., Ltd., Xiamen 361000, Fujian, China)

Received:2019-11-21 Revised:2020-05-02 Online:2021-04-16 Published:2021-04-19
Supported by:

摘要/Abstract

摘要： 以桥梁节段模型风洞试验为工程背景，建立桥梁节段模型的竖向和扭转耦合振动微分方程。风荷载对桥梁的作用可以考虑为气弹阻尼力、气弹刚度以及高斯随机激励力；利用随机振动理论，推导了随机激励下两自由度振动响应的相关函数方程，利用最小二乘法构造参数识别方程。提出了基于随机激励响应的参数识别相关函数法，并用数值模拟方法验证了该方法的有效性，最后将该方法应用于识别风洞试验系统中的刚度矩阵和阻尼矩阵。研究结果表明：在低风速条件下，方法所得结果与自由振动时域识别法获得的结果接近。

关键词: 桥梁工程, 随机激励, 相关函数, 参数识别, 风洞试验

Abstract: Based on the wind tunnel test of bridge sectional model, the differential equations of vertical and torsional coupling vibration of bridge segment model were established. The effect of wind load on bridge could be considered as aero-elastic damping force, aero-elastic stiffness and Gaussian random excitation force. By use of the theory of random vibration, the correlation function equation of two-degree-of-freedom vibration response under random excitation was derived, and the parameter identification equation was constructed by the least square method. The correlation function method for parameter identification based on random excitation response was proposed, and the validity of the proposed method was verified by numerical simulation. Finally, the proposed method was applied to identify the stiffness matrix and damping matrix in wind tunnel test system. The research shows that the results obtained by the proposed method are close to those obtained by the free vibration time domain identification method under low wind speed conditions.

Key words: bridge engineering, random excitation, correlation function, parameter identification, wind tunnel test

中图分类号:

U446.1

傅立磊. 基于随机激励响应的参数识别相关函数法[J]. 重庆交通大学学报（自然科学版）, 2021, 40(04): 70-75.

FU Lilei. Correlation Function Method for Parameter Identification Based on Random Excitation Response[J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(04): 70-75.

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基于随机激励响应的参数识别相关函数法

Correlation Function Method for Parameter Identification Based on Random Excitation Response

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