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Solution of quadratic matrix equations for free vibration analysis of structures.An efficient digital computer procedure and the related numerical algorithm are presented herein for the solution of quadratic matrix equations associated with free vibration analysis of structures. Such a procedure enables accurate and economical analysis of natural frequencies and associated modes of discretized structures. The numerically stable algorithm is based on the Sturm sequence method, which fully exploits the banded form of associated stiffness and mass matrices. The related computer program written in FORTRAN V for the JPL UNIVAC 1108 computer proves to be substantially more accurate and economical than other existing procedures of such analysis. Numerical examples are presented for two structures - a cantilever beam and a semicircular arch.
Document ID
19730039497
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Gupta, K. K.
(California Institute of Technology Jet Propulsion Laboratory Pasadena, Calif., United States)
Date Acquired
August 7, 2013
Publication Date
January 1, 1973
Publication Information
Publication: International Journal for Numerical Methods in Engineering
Volume: 6
Issue: 1, 19
Subject Category
Structural Mechanics
Accession Number
73A24299
Funding Number(s)
CONTRACT_GRANT: NAS7-100
Distribution Limits
Public
Copyright
Other

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