Response of an oscillator with a Duffing parameter of the fifth power

Title

Response of an oscillator with a Duffing parameter of the fifth power

 Author

Al-Zubi, Kadhim (TU Delft Applied Sciences)

Contributor

Blanter, Yaroslav (mentor)

Degree granting institution

Delft University of Technology

 Programme

Applied Physics

 Date

2019-03-19

 Abstract

Quintic Duffing oscillator is considered. Amplitude-phase relations are derived using averaging theorem and perturbation methods. First The forced quintic system is studied. Stability regions are com-pared to the general case with quintic-qubic non-linearity. Numerical results show that Perturbationmethod and averaging are in agreement with each other for a range of frequency values. For first or-der perturbation the Lindstedt-Poincaré technique is reduced to the multiple scales method. Onlywhen both linearities are taken into account, five solutions are present. Magnitudes of non-linearityinput plays a role in observing region of unstable solutions.

 Subject

Duffing oscillator
Frequency Response Function
stability analysis

 To reference this document use:

http://resolver.tudelft.nl/uuid:48180f53-01bf-4b98-8e23-7e47e558c640

 Part of collection

Student theses

 Document type

bachelor thesis

 Rights

© 2019 Kadhim Al-Zubi
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