Characteristic Exponents and Stability of Hill’s Equation

[+] Author and Article Information
Ali Hasan Nayfeh

Department of Engineering Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Va.

J. Appl. Mech 39(4), 1156-1158 (Dec 01, 1972) (3 pages) doi:10.1115/1.3422856 History: Received May 01, 1972; Revised August 01, 1972; Online July 12, 2010


The methods of strained parameters and multiple scales are used to determine a second-order uniform expansion for the solutions of Hill’s equation near the transition curves. Second-order explicit expansions are presented for the characteristic exponents and the transition curves.

Copyright © 1972 by ASME
Topics: Stability , Equations
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