- Title
- Analyses of the simple harmonic oscillator and its variations
- Creator
- Bambiso, Noludwe Patience
- Subject
- Harmonic analysis Vibration -- Mathematical models Oscillations
- Date Issued
- 2017
- Date
- 2017
- Type
- Thesis
- Type
- Masters
- Type
- MSc
- Identifier
- http://hdl.handle.net/10353/8132
- Identifier
- vital:31530
- Description
- Vibratory motion is fundamental to all natural phenomena. It occurs everywhere in nature, from fundamental particles to the complexity of the life of the smallest cell, to the properties of the cosmos. Its frequency ranges from those of gammarays down the spectrum of X-rays, microwave, optical and radio waves. These are common concepts in everyday life, but their origin and nature are seldom comprehended. In this thesis we look at the mathematical fundamentals and how to apply them. We start with fundamental concepts and extend them to more complicated systems. We consider methods of analysis and applications. In Chapter 2 we consider simple harmonic oscillators and their mathematical analyses and in Chapter 3 we look at applications. Chapter 4 discusses the general form of simple harmonic motion, i.e. damped and forced harmonic motion. We consider simple coupled systems and their analysis. In Chapter 5 we introduce the method of complex functions and its application to complicated compound systems. Chapter 6 introduces a novel application, that of how SHM can be used as a model for advanced effects, or acausality. Chapter 7 presents a summary and conclusion.
- Format
- 45 leaves
- Format
- Publisher
- University of Fort Hare
- Publisher
- Faculty of Science and Agriculture
- Language
- English
- Rights
- University of Fort Hare
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UFH Department of Mathematics
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | SOURCE1 | ThesisFinJan2017.pdf | 1 MB | Adobe Acrobat PDF | View Details Download |