Dynamics and Control of Magnetostatic Structures

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dc.contributor.advisor Larry Silverberg, Chair en_US
dc.contributor.advisor Larry Royster, Member en_US
dc.contributor.advisor Eric Klang, Member en_US
dc.contributor.advisor Ethelbert Chukwu, Member en_US
dc.contributor.author Windsor, Jeffry en_US
dc.date.accessioned 2010-04-02T18:41:06Z
dc.date.available 2010-04-02T18:41:06Z
dc.date.issued 1999-04-29 en_US
dc.identifier.other etd-19990428-105922 en_US
dc.identifier.uri http://www.lib.ncsu.edu/resolver/1840.16/3965
dc.description.abstract The equations governing the dynamics of magnetostatic structures are formulated using Lagrangian mechanics. A potential energy function of gravitational, strain, and magnetostatic components is defined. The Lagrangian equations of motion are discretized and then linearized about equilibrium points created by the additional magnetostatic energy, leading to a linear system of ordinary differential equations. These equations are characterized by mass, stiffness, damping, gyroscopic, and circulatory effects.Four experiments are conducted. Using the one-degree-of-freedom magnetostatic levitator, the measured static displacement is compared to those predicted by the exact nonlinear solution and the discretized approximate solution.Three experiments are performed with the two-degree-of-freedom, spherical, magnetostatic pendulum: The natural frequencies of the pendulum are predicted and compared with measurements; the pendulum is made to track a desired path using electromagnets to control the motion; and the pendulum's oscillations about new equilibrium points are regulated using electromagnets and velocity feedback to control settling time. In the last experiment, the stability of the controlled system is proven by examining the eigenvalues about the new equilibrium position. en_US
dc.rights I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. en_US
dc.title Dynamics and Control of Magnetostatic Structures en_US
dc.degree.name PhD en_US
dc.degree.level PhD Dissertation en_US
dc.degree.discipline Mechanical Engineering en_US

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