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计算重根特征向量灵敏度的正则完备法

李成立 王彤

机械制造与自动化2024,Vol.53Issue(3):123-126,145,5.
机械制造与自动化2024,Vol.53Issue(3):123-126,145,5.DOI:10.19344/j.cnki.issn1671-5276.2024.03.026

计算重根特征向量灵敏度的正则完备法

Regular Complete Method for Computing Sensitivity of Repeated Root Eigenvectors

李成立 1王彤1

作者信息

  • 1. 南京航空航天大学航空学院,江苏南京 210016
  • 折叠

摘要

Abstract

In the sensitivity-based model updating of the axisymmetric structure,the sensitivity of the repeated root eigenvectors is a crucial parameter to determine the optimization direction of structural parameters.Based on the method of calculating eigenvector sensitivity proposed by YANG Qiuwei,regular complete method is proposed by adding an adjustable regular term on both sides of the governing equation to eliminate the singularity of the dynamic stiffness matrix and combining with the complete modal method to calculate the modal participation factor.Although the method is derived by calculating the sensitivity of the repeated root eigenvectors,it can also be used for the calculation of the sensitivity of the single root eigenvector.Experimental examples verify the feasibility of the proposed method in axisymmetric model updating.

关键词

轴对称模型修正/重根特征向量/特征向量灵敏度

Key words

axisymmetric model updating/repeated root eigenvectors/eigenvector sensitivity

分类

信息技术与安全科学

引用本文复制引用

李成立,王彤..计算重根特征向量灵敏度的正则完备法[J].机械制造与自动化,2024,53(3):123-126,145,5.

基金项目

国家自然科学基金资助项目(12272172) (12272172)

江苏高校优势学科建设工程资助项目 ()

机械制造与自动化

OACSTPCD

1671-5276

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