Updating Mass and Stiffness Matrices Using Eigenstructure Assignment Methods

LIU Li-na, YUAN Yu-ying, YUAN Yong-xin

doi:10.13371/j.cnki.chin.q.j.m.2021.04.009

Chinese Quarterly Journal of Mathematics >

2021 , Vol. 36 >Issue 4: 419 - 429

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.04.009

Updating Mass and Stiffness Matrices Using Eigenstructure Assignment Methods

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1. School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China;
2. Library of Hubei Normal University, Huangshi 435002, China

LIU Li-na (1992-), female, native of Fuyang, Anhui, postgraduate student of Hubei Normal University, engages in basic mathematics; YUAN Yu-ying (1993-), female, native of Zhenjiang, Jiangsu, librarian of Library of Hubei Normal University, engages in reference service for readers; YUAN Yong-xin (1966-), male, native of Zhenjiang, Jiangsu, professor of Hubei Normal University, engages in computational mathematics.

Received date: 2021-08-25

Online published: 2021-12-30

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Abstract

A novel numerical method is presented to update mass and stiffness matrices simultaneously with measured vibration data by means of the combined acceleration and displacement output feedback. By the method, the required displacement and acceleration output feedback gain matrices are determined, and thus the optimal approximation mass matrix and stiffness matrix which satisfy the required orthogonality relation and eigenvalue equation are found. The proposed method is computationally efficient and the updated mass and stiffness matrices are also symmetric and have the compact expressions. The numerical example shows that the proposed method is reliable and attractive.

Key words： Model updating; Undamped vibration system; Eigenstructure assignment; Acceleration and displacement feedback; Optimal approximation

Cite this article

LIU Li-na, YUAN Yu-ying, YUAN Yong-xin . Updating Mass and Stiffness Matrices Using Eigenstructure Assignment Methods[J]. Chinese Quarterly Journal of Mathematics, 2021 , 36(4) : 419 -429 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.04.009

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