基于线调频小波积分的时变系统物理参数识别

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摘要基于短时线性变化假设推导了线调频小波积分计算方法。借助此方法仅利用时变结构的加速度响应信号，就可重构出速度响应和位移响应信号，并在质量参数已知的情况下构造最小二乘算法识别结构的时变刚度和时变阻尼。由于引入了调频斜率参数刻画信号的短时调频特征，该方法相比传统识别方法能更好地追踪快速时变参数且计算效率大大提高。仿真算例中，构造了一个3自由度时变结构模型，针对各种时变情况进行物理参数的识别，验证了方法的正确性、适用性和抗噪声能力。

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	张杰
	史治宇
	赵宗爽

关键词 ：时变系统, 参数识别, 线调频小波积分, 加速度响应, 信号重构

Abstract：A method of chirp wavelet integration was derived based on the short-time linear change assumption.Applying this method, velocity and displacement response signals of a time-varying structure were reconstructed only with its acceleration response signal.Then, time-varying stiffness and damping of the structure were identified by constructing a least squares algorithm when the structure’s mass parameters were known in advance.It was shown that due to introducing frequency modulation slope parameter to characterize the short-term frequency modulation characteristics of a signal, compared with the traditional identification method, this method can better track fast time-varying parameters and greatly improve computational efficiency.In a simulation example, a 3-DOF time-varying structure model was constructed, and its physical parameters were identified under various time-varying conditions to verify the correctness, applicability and anti-noise ability of the proposed method.

Key words： time-varying system parametric identification chirp wavelet integration acceleration response signal reconstruction

收稿日期: 2019-07-11 出版日期: 2020-10-28

引用本文:

张杰，史治宇，赵宗爽. 基于线调频小波积分的时变系统物理参数识别[J]. 振动与冲击, 2020, 39(21): 267-273.
ZHANG Jie, SHI Zhiyu, ZHAO Zongshuang. Physical parametric identification of time-varying system based onchirp wavelet integration. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(21): 267-273.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2020/V39/I21/267

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