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ON THE RECONSTRUCTION OF A DAMPED VIBRATING SYSTEM FROM TWO COMPLEX SPECTRA, PART 2: EXPERIMENT

Authors
Journal
Journal of Sound and Vibration
0022-460X
Publisher
Elsevier
Publication Date
Volume
240
Issue
2
Identifiers
DOI: 10.1006/jsvi.2000.3214

Abstract

Abstract This experimental–theoretical paper discusses whether, and how accurately, the mass, damping and stiffness matrices for a purportedly two-degree-of-freedom (2-d.o.f.) system may be reconstructed from the measured complex eigenvalues and/or eigenvectors. The system consists of two parallel cantilevered beams with end masses connected by a third, curved beam. Three procedures are used to reconstruct the matrices: the modal (M) method using real natural frequencies, real modes and modal damping factors; Danek's (D) reconstruction from complex eigenvalues and eigenvectors; a reconstruction (E) from complex eigenvalues of the original and constrained system. It is shown that the damping matrix constructed via D is extremely sensitive to errors in the phases of the complex eigenvectors. The reconstruction via E uses only eigenvalues which can be measured much more reliably than eigenvectors.

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