Identification of Nonlinear Multi-Degree-of-Freedom Systems : Presentation of an Identification Technique

Identification of Nonlinear Multi-Degree-of-Freedom Systems : Presentation of an Identification Technique
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非线性多自由度系统的辨识:辨识技术的介绍

DOI:
10.1299/jsmec1988.31.8
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发表时间:
1988
期刊:
Jsme International Journal Series C-mechanical Systems Machine Elements and Manufacturing
影响因子:
--
通讯作者:
Koutaro Watanabe
Koutaro Watanabe
中科院分区:
--
文献类型:
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作者:
K. Yasuda;S. Kawamura;Koutaro Watanabe

文献摘要

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提出了一种非线性多自由度系统辨识的新方法。该方法的基本步骤是:(1)获得系统所受周期外力及其引起的周期稳态响应的数据,(2)将系统的非线性项表示为未知系数的多项式形式,(3)求出系统的周期稳态响应。(3)用傅里叶级数表示所需量,应用谐波平衡原理确定未知系数。给出了一些例子,以显示所提出的技术的适用性。
A new technique of identifying nonlinear multi-degree-of-freedom systems has been presented. The basic procedures of this technique are : (1) obtaining the data of a periodic external force applied to the system and of the periodic steady-state response induced by it ; (2) expressing the nonlinear terms of the system in the form of polynomials with unknown coefficients ; and (3) determining the unknown coefficients by expressing the necessary quantities in Fourier series and applying the principle of harmonic balance. Some examples are given to show the applicability of the technique presented.