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Parameter identification in distributed systemsThis paper describes a method for the identification of the parameters entering into the equations of motion of distributed systems. Because the motion of distributed systems is described in terms of partial differential equations, these parameters are in general continuous functions of the spatial variables. For vibrating systems, these parameters ordinarily represent the mass, stiffness and damping distributions. In this paper, these distributions are expanded in terms of finite series of known functions of the spatial variables multiplied by undetermined coefficients. It is assumed that the nature of the equations of motion is known and that a limited number of eigenvalues and eigenfunctions is identified in advance. Use is then made of the least squares method, in conjunction with the eigenfunctions' orthogonality, to compute the undetermined coefficients, thus identifying the system distributed parameters. A method for the identification of the eigensolution is also presented. The procedure for the identification of the eigensolution and of the system parameters is demonstrated via a numerical example.
Document ID
19860030680
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Baruh, H.
(Rutgers University New Brunswick, NJ, United States)
Meirovitch, L.
(Virginia Polytechnic Institute and State University Blacksburg, United States)
Date Acquired
August 12, 2013
Publication Date
August 22, 1985
Publication Information
Publication: Journal of Sound and Vibration
Volume: 101
ISSN: 0022-460X
Subject Category
Structural Mechanics
Accession Number
86A15418
Funding Number(s)
CONTRACT_GRANT: NAG1-225
Distribution Limits
Public
Copyright
Other

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