Modal Participation Estimated from the Response Correlation Matrix

Joint Authors

Amador, Sandro D. R.
Aenlle, Manuel L.
Brincker, Rune
Juul, Martin

Source

Shock and Vibration

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-08-28

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Civil Engineering

Abstract EN

In this paper, we are considering the case of estimating the modal participation vectors from the operating response of a structure.

Normally, this is done using a fitting technique either in the time domain using the correlation function matrix or in the frequency domain using the spectral density matrix.

In this paper, a more simple approach is proposed based on estimating the modal participation from the correlation matrix of the operating responses.

For the case of general damping, it is shown how the response correlation matrix is formed by the mode shape matrix and two transformation matrices T1 and T1 that contain information about the modal parameters, the generalized modal masses, and the input load spectral density matrix Gx.

For the case of real mode shapes, it is shown how the response correlation matrix can be given a simple analytical form where the corresponding real modal participation vectors can be obtained in a simple way.

Finally, it is shown how the real version of the modal participation vectors can be used to synthesize empirical spectral density functions.

American Psychological Association (APA)

Brincker, Rune& Amador, Sandro D. R.& Juul, Martin& Aenlle, Manuel L.. 2019. Modal Participation Estimated from the Response Correlation Matrix. Shock and Vibration،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1211699

Modern Language Association (MLA)

Brincker, Rune…[et al.]. Modal Participation Estimated from the Response Correlation Matrix. Shock and Vibration No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1211699

American Medical Association (AMA)

Brincker, Rune& Amador, Sandro D. R.& Juul, Martin& Aenlle, Manuel L.. Modal Participation Estimated from the Response Correlation Matrix. Shock and Vibration. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1211699

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1211699