RESEARCH PAPERS: Other Technical Papers

Optimum Boundaries for Elliptic Systems

[+] Author and Article Information
Y. Hari

Department of Aerospace and Mechanical Engineering, Indiana Institute of Technology, Fort Wayne, Ind.

J. Dyn. Sys., Meas., Control 94(2), 159-164 (Jun 01, 1972) (6 pages) doi:10.1115/1.3426563 History: Received March 17, 1972; Online July 13, 2010


In this paper a modification of the Ritz method is presented for finding optimum boundaries in which the Laplace or the Poisson equation is known to hold. The method developed utilized the classical calculus of variations to determine candidates for optimum boundaries. The method is applied to obtain the optimum tooth shape for maximum torque of a magnetic exciter used on a resonant stepping mechanism.

Copyright © 1972 by ASME
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