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https://open.uns.ac.rs/handle/123456789/1753
Title: | Mathieu's equation and its generalizations: Overview of stability charts and their features | Authors: | Kovačić, Ivana Rand R. Sah S. |
Issue Date: | 1-Mar-2018 | Journal: | Applied Mechanics Reviews | Abstract: | Copyright © 2018 by ASME. This work is concerned with Mathieu's equation-a classical differential equation, which has the form of a linear second-order ordinary differential equation (ODE) with Cosinetype periodic forcing of the stiffness coefficient, and its different generalizations/extensions. These extensions include: the effects of linear viscous damping, geometric nonlinearity, damping nonlinearity, fractional derivative terms, delay terms, quasiperiodic excitation, or elliptic-type excitation. The aim is to provide a systematic overview of the methods to determine the corresponding stability chart, its structure and features, and how it differs from that of the classical Mathieu's equation. | URI: | https://open.uns.ac.rs/handle/123456789/1753 | ISSN: | 36900 | DOI: | 10.1115/1.4039144 |
Appears in Collections: | FTN Publikacije/Publications |
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