Theses and Dissertations - UTB/UTPA
Date of Award
8-2013
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mechanical Engineering
First Advisor
Dr. Dumitru Caruntu
Second Advisor
Dr. Horacio Vasquez
Third Advisor
Dr. Dorina Mihut
Abstract
This thesis work deals with electrostatically actuated Carbon Nanotubes (CNTs) cantilevers. Four forces are acting on the CNTs cantilever, namely damping, elastic, electrostatic and van der Waals forces. The van der Waals force is significant for values of 50 nm or lower of the gap between the CNTs and the ground substrate. As both electrostatic and van der Waals forces are nonlinear, and the CNTs electrostatic actuation is given by alternating current (AC) voltage, the CNTs undergo nonlinear parametric dynamics. The Method of Multiple Scales (MMS) and Reduced Order Model (ROM) are employed to investigate the system under soft excitation and weak nonlinearities. The frequency-amplitude and voltage-amplitude responses are reported in the cases of AC near half natural frequency and AC near primary natural frequency.
Granting Institution
University of Texas-Pan American
Comments
Copyright 2013 Le Luo. All Rights Reserved.
https://www.proquest.com/dissertations-theses/nonlinear-dynamics-carbon-nanotubes-under-soft/docview/1459229442/se-2