Research on Identification Method of Gap Nonlinear Vibration

Proceedings of the 2023 2nd Asia Conference on Algorithms, Computing and Machine Learning Pub Date : 2023-03-17 DOI:10.1145/3590003.3590138

Jialiang Sun, Jingying Liu

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Abstract

The research of linear vibration has been very mature, but the gap nonlinear element widely exists in the actual structure and vibration system. The general linear vibration theory can not meet the needs of solving the nonlinear dynamic problems of clearance, and the research on the nonlinear vibration of clearance is essential. Based on the description function method, the forced response calculation of linear and nonlinear systems and the nonlinear detection method of clearance systems are studied in this paper. The forced response calculation of linear and clearance nonlinear systems mainly depends on the digital filtering method to realize the corresponding simulation of the system with clearance nonlinear. Based on the definition of linear system, a concrete scheme for judging whether the system contains the nonlinear characteristics of clearance is given. The position identification of the clearance nonlinear system based on the description function and the polynomial fitting inversion of the description function is studied and verified by an example.

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间隙非线性振动辨识方法研究

线性振动的研究已经非常成熟，但间隙非线性元素广泛存在于实际结构和振动系统中。一般的线性振动理论已不能满足求解间隙非线性动力学问题的需要，对间隙非线性振动的研究是十分必要的。本文基于描述函数法，研究了线性和非线性系统的强迫响应计算以及间隙系统的非线性检测方法。线性和间隙非线性系统的强迫响应计算主要依靠数字滤波方法来实现间隙非线性系统的相应仿真。根据线性系统的定义，给出了判断系统是否包含间隙非线性特性的具体方案。研究了基于描述函数和描述函数的多项式拟合反演的间隙非线性系统的位置识别问题，并通过实例进行了验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Proceedings of the 2023 2nd Asia Conference on Algorithms, Computing and Machine Learning

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