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A Note on the Improved Displaced Frequency Method Applied to Dynamical Systems Having a Pair of Equal Frequencies

Published online by Cambridge University Press:  04 July 2016

A. Simpson
A. Simpson*
Affiliation:
University of Bristol
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Extract

In applying the numerical correction method to the case where two natural frequencies of the system under test are equal, it is necessary to ensure that the matrix

is diagonal in order to eliminate singularities. (In this equation δA is the displaced mass matrix; is the partitioned matrix containing the two modal columns appropriate to the equal frequencies and β is a transformation matrix (2 x 2), chosen to ensure that δαb is diagonal.)

Type
Technical Notes
Information
The Aeronautical Journal , Volume 70 , Issue 672 , December 1966 , pp. 1095
Copyright
Copyright © Royal Aeronautical Society 1966

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References

1.Simpson, A.An Improved Displaced Frequency Method for Estimation of Dynamical Characteristics of Mechanical Systems. Journal of the Royal Aeronautical Society, Vol. 70, No. 666, pp 661–665, June 1966.CrossRefGoogle Scholar