Modal Identification Method Following Locally Linear Embedding

doi:10.7652/xjtuxb201301017

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Modal Identification Method Following Locally Linear Embedding

更新时间：2025-07-09

- Modal Identification Method Following Locally Linear Embedding
- Vol. 47, Issue 1, Pages: 85-89+100(2013)
- 作者机构：
  
  1. 西安交通大学航天航空学院,西安,710049
  2. 西安交通大学机械结构强度与振动国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201301017
  CLC： O235
- Online First：10 January 2013，
  
  Published：2013
- 稿件说明：
移动端阅览
Modal Identification Method Following Locally Linear Embedding[J]. 2013, 47(1): 85-89+100.
DOI：

Modal Identification Method Following Locally Linear Embedding[J]. 2013, 47(1): 85-89+100. DOI： 10.7652/xjtuxb201301017.

摘要

提出了一种新的利用局部线性嵌入的模态识别方法。该方法以流形学习为理论基础

从提取结构的几何或固有特征出发

以系统结构的响应数据为分析对象

可识别出结构的模态参数。该方法的基本思想是

将结构的响应看作一个高维数据集

将系统的模态看作高维数据集的本质结构与固有特征

然后通过求解数据的低维嵌入进行模态参数识别。圆柱壳仿真结果表明:提出的利用局部线性嵌入的模态识别方法能够有效地进行模态参数识别; 随着阻尼系数的增加

对于贡献量较大的模态

利用局部线性嵌入的识别效果优于基于主成分分析的识别效果。

Abstract

A novel modal identification for dynamic system following locally linear embedding is proposed. Regarding manifold learning as the theory foundation

and starting from the structural geometry or inherent characteristics extraction

the modal parameters of the system structure can be identified only by analyzing the response data. The principal idea is to consider the response data as a high-dimensional data set and the modals of the structure as the essential structure and the inherent characteristics of the high-dimensional data set. Then the modal parameter identification problem is transformed into a low dimensional embedding problem of the data set. The numerical simulation results of a cylindrical shell show that this locally linear embedding based method is effective in modal identification

and with the increase of the damping coefficient

it gets superior to the principal component analysis based method in identification of the modals with larger contribution.

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references

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