The dynamics of a constrained, nonlinear oscillator

DSpace/Manakin Repository

The dynamics of a constrained, nonlinear oscillator

Show full item record


Title: The dynamics of a constrained, nonlinear oscillator
Author: Bouquin, Samantha Erin
Abstract: This thesis examines the behavior of oscillating systems whose range of motion is constrained by forces that effectively act as soft constraints. For conservative systems, we shall show that for small constraints, the system has a family of periodic solutions in a neighborhood of an equilibrium. These periodic solutions can be approximated by a Poincare-Lindstedt expansion. In the case of damped motion, by examining the eigenvalues of the linearized system, one can infer information about the equilibria of the perturbed system.
URI: http://hdl.handle.net/2346/22015
Date: 2004-05

Files in this item

Files Size Format View
31295019590818.pdf 650.7Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record

Browse

My Account