噪声与振动控制2017，Vol.37Issue(3)：72-77,106,7.DOI:10.3969/j.issn.1006-1355.2017.03.014
一种识别Duffing非线性系统刚度的新方法
A New Method for Stiffness Identification of Duffing Nonlinear Systems
摘要
Abstract
The frequency variation of vibration responses of nonlinear vibration systems is closely related to the displacement, velocity and amplitude of the vibration, which is the main feature of the nonlinear vibration systems. In this paper, a new method for identifying the stiffness of Duffing nonlinear systems is presented based on this feature. First of all, the relation between instantaneous frequency and instantaneous amplitude of the Duffing nonlinear systems is established by means of Lindestedt- Poincaré method. Then, the maximum gradient method and Hilbert transform are employed respectively to extract the instantaneous frequency and the instantaneous amplitude from the nonlinear response signals. On this basis, the least square optimization algorithm is employed to identify the linear and cubic stiffness of the Duffing nonlinear systems. The effectiveness of the proposed new method is validated via a numerical example of a nonlinear Duffing system. The results demonstrate that the new method can identify the stiffness effectively even if the response signals are contaminated by Gauss white noise.关键词
振动与波/Duffing非线性系统/最大坡度法/最小二乘法/瞬时频率/瞬时幅值Key words
vibration and wave/Duffing nonlinear system/maximum gradient method/least square optimization algorithm/instantaneous frequency/instantaneous amplitude分类
天文与地球科学引用本文复制引用
刘景良,郑文婷,黄文金,黄志伟..一种识别Duffing非线性系统刚度的新方法[J].噪声与振动控制,2017,37(3):72-77,106,7.基金项目
国家自然科学基金青年项目资助(51608122) （51608122）
福建省自然科学基金青年科技人才创新项目资助(2016J05111) （2016J05111）
福建农林大学青年教师科研基金项目资助(113-61201405104) （113-61201405104）
