Extraction of real modes and physical matrices from modal testing

Tong Wang; Lingmi Zhang; Kong Fah Tee

doi:10.1007/s11803-011-0060-6

Extraction of real modes and physical matrices from modal testing

Tong Wang^*
, Lingmi Zhang
, Kong Fah Tee

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

A technique to extract real modes from the identified complex modes is presented in this paper, which enables the normalized real mode shapes, modal masses, and full or reduced mass and stiffness matrices to be obtained. The theoretical derivation of the method is provided in detail. An 11-DOF vibration system is used to validate the algorithm, and to analyze the effects of the number of modes utilized and measurement DOFs on the extraction results. Finally, the method is used to extract real modes from both experimental modal analysis and operational modal analysis.

Original language	English
Pages (from-to)	219-227
Number of pages	9
Journal	Earthquake Engineering and Engineering Vibration
Volume	10
Issue number	2
DOIs	https://doi.org/10.1007/s11803-011-0060-6
State	Published - Jun 2011
Externally published	Yes

Bibliographical note

Funding Information:
Correspondence to: Wang Tong, Institute of Vibration Engineering, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, China Tel (Fax): +86 25 8489 2103 E-mail: [email protected] †Assistant Professor; ‡Professor; §Associate Professor Supported by: NUAA Research Funding Under Grant No. V1022-013 Received October 28, 2010; Accepted March 28, 2011

Keywords

complex mode
modal analysis
modal mass
normalized mode shape
real mode

ASJC Scopus subject areas

Civil and Structural Engineering
Building and Construction
Geotechnical Engineering and Engineering Geology
Mechanical Engineering

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10.1007/s11803-011-0060-6

Cite this

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title = "Extraction of real modes and physical matrices from modal testing",

abstract = "A technique to extract real modes from the identified complex modes is presented in this paper, which enables the normalized real mode shapes, modal masses, and full or reduced mass and stiffness matrices to be obtained. The theoretical derivation of the method is provided in detail. An 11-DOF vibration system is used to validate the algorithm, and to analyze the effects of the number of modes utilized and measurement DOFs on the extraction results. Finally, the method is used to extract real modes from both experimental modal analysis and operational modal analysis.",

keywords = "complex mode, modal analysis, modal mass, normalized mode shape, real mode",

author = "Tong Wang and Lingmi Zhang and Tee, \{Kong Fah\}",

note = "Funding Information: Correspondence to: Wang Tong, Institute of Vibration Engineering, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, China Tel (Fax): +86 25 8489 2103 E-mail: [email protected] †Assistant Professor; ‡Professor; §Associate Professor Supported by: NUAA Research Funding Under Grant No. V1022-013 Received October 28, 2010; Accepted March 28, 2011",

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doi = "10.1007/s11803-011-0060-6",

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AU - Tee, Kong Fah

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N2 - A technique to extract real modes from the identified complex modes is presented in this paper, which enables the normalized real mode shapes, modal masses, and full or reduced mass and stiffness matrices to be obtained. The theoretical derivation of the method is provided in detail. An 11-DOF vibration system is used to validate the algorithm, and to analyze the effects of the number of modes utilized and measurement DOFs on the extraction results. Finally, the method is used to extract real modes from both experimental modal analysis and operational modal analysis.

AB - A technique to extract real modes from the identified complex modes is presented in this paper, which enables the normalized real mode shapes, modal masses, and full or reduced mass and stiffness matrices to be obtained. The theoretical derivation of the method is provided in detail. An 11-DOF vibration system is used to validate the algorithm, and to analyze the effects of the number of modes utilized and measurement DOFs on the extraction results. Finally, the method is used to extract real modes from both experimental modal analysis and operational modal analysis.

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KW - modal mass

KW - normalized mode shape

KW - real mode

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JF - Earthquake Engineering and Engineering Vibration

IS - 2

ER -

Extraction of real modes and physical matrices from modal testing

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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