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A symmetric inverse vibration problem with overdamped modes

โœ Scribed by L. Starek; D.J. Inman

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
382 KB
Volume
181
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

Several previously published results have addressed the inverse eigenvalue problem for lumped parameter non-conservative systems. These inverse results give conditions which allow the construction of mass normalized, velocity and position coefficient matrices based on given eigenvalues and eigenvectors. Previous theories have examined the construction of symmetric coefficients given complex and zero eigenvalues (rigid bodies). Here, the theory of real symmetric inverse eigenvalue problems is extended to include the possibility of specifying real eigenvalues, corresponding to overdamped modes. Specifically, conditions are given that allow the construction of real, symmetric, mass normalized damping and stiffness matrices given specified eigenvalues and eigenvectors, some of which may correspond to overdamped modes.

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