Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/12301
Title: | Analysis of Non-Linear Non-Stationary Oscillations |
Authors: | Beshai, Elbahgouri Maged |
Advisor: | Gladwin, A.S. |
Department: | Electrical Engineering |
Keywords: | Electrical and Electronics;Electrical and Electronics |
Publication Date: | May-1973 |
Abstract: | <p>The behaviour of certain non-linear oscillatory systems are studied analytically. These systems are of the "separable" type i.e. they can be modelled using linear frequency-dependent networks, frequency independent non-linear resistive networks, and non-linear reactive networks.</p> <p>When the time-lags in an oscillatory system are negligibly small, the system may be described by a non-linear differential equation. If the time-lags cannot be ignored, the system may be described by a non-linear difference-differential equation.</p> <p>The exact analytical solutions of non-linear differential or difference-differential equations are not known, except in rare cases. However, with appropriate restrictions, analytical approximations may be found.</p> <p>In this work, analytical approximations are developed for treating second-order, forced or unforced weakly non-linear oscillatory systems, as well as a restricted class of unforced highly non-linear systems. These systems may be of the degenerative or regenerative type. Also, the case when time-lags exist in the system, has been studied analytically.</p> <p>The analytical results are verified either experimentally or by numerical simulation.</p> |
URI: | http://hdl.handle.net/11375/12301 |
Identifier: | opendissertations/72 1542 918114 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 3.38 MB | Adobe PDF | View/Open |
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