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RESEARCH PAPERS

The Riccati Transfer Matrix Method

[+] Author and Article Information
G. C. Horner

Mechanical Technology Incorporated, Latham, N. Y.

W. D. Pilkey

Department of Mechanical Engineering, University of Virginia, Charlottesville, Va.

J. Mech. Des 100(2), 297-302 (Apr 01, 1978) (6 pages) doi:10.1115/1.3453915 History: Received June 01, 1977; Online October 21, 2010

Abstract

The Riccati transfer matrix method is a new technique for analyzing structural members. This new technique makes use of an existing large catalog of transfer matrices for various structural members such as rotating shafts. The numerical instability encountered when calculating high resonant frequencies, static response of a flexible member on a stiff foundation, or the response of a long member by the transfer matrix method is eliminated by the Riccati transfer matrix method. The computational time and storage requirements of the Riccati transfer matrix method are about half the values for the transfer matrix method. A rotating shaft analysis demonstrates the numerical accuracy of the method.

Copyright © 1978 by ASME
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