A Simplified Variation of Parameters Approach to Euler’s Equations

[+] Author and Article Information
D. L. Richardson, J. W. Mitchell

Department of Aerospace Engineering and Engineering Mechanics, University of Cincinnati, Cincinnati, OH 45221-0070

J. Appl. Mech 66(1), 273-276 (Mar 01, 1999) (4 pages) doi:10.1115/1.2789161 History: Received August 04, 1997; Revised July 08, 1998; Online October 25, 2007


A normalized form of Euler’s equations is rewritten in a variation of parameters approach using amplitudes and angular displacement as parameters. This new form is compact and yields a more accurate numerically integrated solution over longer simulation times than does a conventional integration of the Euler equations.

Copyright © 1999 by The American Society of Mechanical Engineers
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