Uncertainty analysis of mechanical dynamics by combining response surface method with signal decomposition technique

Jiang Cui; Zhi-Hua Zhao; Jia-Wei Liu; Peng-Xiang Hu; Ru-Neng Zhou; Ge-Xue Ren

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Uncertainty analysis of mechanical dynamics by combining response surface method with signal decomposition technique

机译：用信号分解技术结合响应面法的机械动力学不确定性分析

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Studying multibody dynamic systems, a common way to evaluate the effects of uncertainty parameters is the response surface method, which works by building a polynomial surrogate model at each time instant through a set of input and corresponding output responses. However, a dynamic response always becomes a more and more complicated function of uncertainty parameters with the increase of time; as a result, the fitted surrogate model often fails to provide an accurate approximation at later time instants. This paper suggests that a dynamic response is composed of several vibration components and one trend component. Therefore, it is better to decompose the response into its multiple components, and then fit the amplitude and phase of each vibration component, as well as the trend component, using polynomial functions. By combining the response surface method with signal decomposition techniques, such as Hilbert-Huang transform and local mean decomposition, this study proposes a novel methodology to develop a high-accuracy surrogate model for interval uncertainty analysis. The proposed methodology will degenerate to the conventional response surface method when the dynamic response is a trend component. Three mechanical systems - a Duffing oscillator, a single pendulum and a slider-crank model - are used to confirm the effectiveness of the proposed methodology. This methodology provides a new technical pathway to improve the accuracy of dynamical uncertainty analysis.

机译：研究多体动态系统，评估不确定参数的效果的常用方法是响应面方法，其通过在每次通过一组输入和相应的输出响应时建立多项式代理模型。然而，随着时间的增加，动态响应总是成为不确定性参数的越来越复杂的功能;结果，拟合的代理模型通常不能在以后的时间瞬间提供准确的近似。本文表明动态响应由多个振动分量和一个趋势分量组成。因此，最好将响应分解为其多个组件，然后使用多项式函数拟合每个振动分量的幅度和相位，以及趋势分量。通过将响应表面方法与信号分解技术相结合，例如希尔伯特 - 黄变换和局部均值，本研究提出了一种新的方法，用于开发用于间隔不确定性分析的高精度替代模型。当动态响应是趋势分量时，所提出的方法将退化到传统的响应表面方法。三种机械系统 - 戴齿轮振荡器，单个摆锤和滑块 - 曲柄模型 - 用于确认所提出的方法的有效性。该方法提供了一种新的技术途径，以提高动态不确定性分析的准确性。

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来源
《Mechanical systems and signal processing》 |2021年第9期|107570.1-107570.30|共30页
作者
Jiang Cui; Zhi-Hua Zhao; Jia-Wei Liu; Peng-Xiang Hu; Ru-Neng Zhou; Ge-Xue Ren;
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作者单位

School of Aerospace Engineering Tsinghua University Beijing 100084 China;

School of Aerospace Engineering Tsinghua University Beijing 100084 China;

School of Aerospace Engineering Tsinghua University Beijing 100084 China;

Beijing Institute of Astronautical System Engineering Beijing 100076 China;

Department of Energy and Power Engineering Tsinghua University Beijing 100084 China;

School of Aerospace Engineering Tsinghua University Beijing 100084 China;

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正文语种 eng
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关键词
Uncertainty analysis; Interval parameters; Surrogate model; Hilbert-Huang transform (HHT); Local mean decomposition (LMD); Multibody dynamics;

机译：不确定性分析;间隔参数;代理模型;Hilbert-Huang变换（HHT）;局部平均分解（LMD）;多体动力学;

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Uncertainty analysis of mechanical dynamics by combining response surface method with signal decomposition technique

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