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Extraction of fundamental mode shapes from superposition resonance of a plate

Kim, Byeong Hwa / Park, Taehyo

This work proposes a method that can extract a set of individual fundamental mode shapes from a set of measured superposition mode shapes, when a structure possesses two or more mode shapes with the same natural frequency. It is revealed that the number of nonzero singular values of a set of measured mode shapes indicates the geometric multiplicity resolved in measured mode shapes. Utilizing the sensitivity of singular values resolved in measured mode shapes, an updating algorithm is developed to extracta set of individual fundamental mode shapes. The performance of the proposed method is demonstrated using a numerical simulation for a selected class of structures.

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Extraction of fundamental mode shapes from superposition resonance of a plate

Kim, Byeong Hwa / Park, Taehyo

This work proposes a method that can extract a set of individual fundamental mode shapes from a set of measured superposition mode shapes, when a structure possesses two or more mode shapes with the same natural frequency. It is revealed that the number of nonzero singular values of a set of measured mode shapes indicates the geometric multiplicity resolved in measured mode shapes. Utilizing the sensitivity of singular values resolved in measured mode shapes, an updating algorithm is developed to extracta set of individual fundamental mode shapes. The performance of the proposed method is demonstrated using a numerical simulation for a selected class of structures.

Extraction of fundamental mode shapes from superposition resonance of a plate

Kim, Byeong Hwa / Park, Taehyo

This work proposes a method that can extract a set of individual fundamental mode shapes from a set of measured superposition mode shapes, when a structure possesses two or more mode shapes with the same natural frequency. It is revealed that the number of nonzero singular values of a set of measured mode shapes indicates the geometric multiplicity resolved in measured mode shapes. Utilizing the sensitivity of singular values resolved in measured mode shapes, an updating algorithm is developed to extracta set of individual fundamental mode shapes. The performance of the proposed method is demonstrated using a numerical simulation for a selected class of structures.

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Title:

Extraction of fundamental mode shapes from superposition resonance of a plate

Additional title:

KSCE J Civ Eng

Contributors:

Kim, Byeong Hwa (author) / Park, Taehyo (author)

Published in:

KSCE Journal of Civil Engineering ; 9 ; 523-528

Publication date:

2005-11-01

Size:

6 pages

ISSN:

1976-3808 , 1226-7988

DOI:

https://doi.org/10.1007/BF02831488

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

modal degeneracy , repeated eigenvalues , superposition mode shape , singular value decomposition , sensitivity-updating algorithm Engineering , Civil Engineering , Industrial Pollution Prevention , Geotechnical Engineering & Applied Earth Sciences

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