Stability of General Hill’s Equation With Three Independent Parameters
- 1 March 1972
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 39 (1) , 276-278
- https://doi.org/10.1115/1.3422628
Abstract
The stability of Hill’s equation with three independent parameters, two of which are small, is analyzed using a perturbation method. It is shown that, except for periodic terms of a special type, existing methods of determining stability boundaries fail. A new method, which works successfully to the first order of approximation, is described.Keywords
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