POD降阶方法在含局部非线性悬臂梁中的适应性分析

Subjects: Mechanics >> Basic Mechanics submitted time 2023-04-24 Cooperative journals: 《应用力学学报》

史江 江俊

Abstract：
In the vibration control design of nonlinear structures,the order of the structure model should not be too high.For this reason,this paper takes the cantilever beam with local nonlinearity as the research object to carry out the research on the low-order model accuracy obtained by the POD reduction method.The analysis focuses on the influence of factors such as the strength of nonlinearity,the order of the reduced-order model,the excitation type of the source signal obtained by the POD mode,the sampling frequency of the response signal and the sampling duration of the response signal and other factors on the response prediction accuracy of the reduced-order model.For strongly nonlinear local nonlinear cantilever beam systems,the POD method is also applicable.When selecting the excitation type of the source signal,it is necessary to avoid the conclusion that the sampling frequency and duration of the pulse excitation signal and response selected should not be too large.Finally,a solution for applying the POD method to noisy signals is proposed,which can provide a useful reference for engineering applications.

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