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oai:www.ideals.illinois.edu:2142/24228 2023-07-10 col_2142_5131 col_2142_14787 com_2142_5130 com_2142_9630 com_2142_234

bifurcation electromechanical coupling microelectromechanical systems (MEMS) On the use of impact-induced nonlinearities in limit switch design Dankowicz, Harry Dankowicz, Harry Bergman, Lawrence A. Vakakis, Alexander F. Polycarpou, Andreas A. Masud, Arif Wilcox, Bryan R. 2011-05-25T14:55:45Z 2011-05-25T14:55:45Z 2011-05 2011-05-25T14:55:45Z 2011-05 This dissertation explores the use of grazing bifurcations in impacting mechanical systems as a useful means of creating fast-acting limit switches. Using analytical, numerical, and experimental techniques, the transient and asymptotic responses of several example vibro-impacting systems undergoing the onset of low-relative-velocity contact are investigated. It is argued that the rapid transients and distinct asymptotic dynamics distinguishing pre- and post-grazing attractors provides an advantageous mechanism on which to base a limit switch design. Further, it is shown that these changes, which originate due to the mechanical interactions, can be detected in coupled electrical systems through both electromagnetic and electrostatic coupling mechanisms. The dissertation concludes with a realization in a prototype microelectromechanical systems (MEMS) design in which a grazing bifurcation may trigger snap-through in a parallel plate capacitive actuator. The results of these studies indicate that a switch based on the proposed nonsmooth fold scenario would outperform one that relies on a smooth bifurcation, such as the cyclic-fold bifurcation, in terms of switching speed and sensitivity. Item withdrawn by Rebecca Bryant (rabryant@illinois.edu) on 2010-12-23T18:17:49Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Wilcox_Bryan.pdf: 23415621 bytes, checksum: 9392b8f12df449e56a011052a6be2e6a (MD5) Made available in DSpace on 2011-05-25T14:55:45Z (GMT). No. of bitstreams: 2 Wilcox_Bryan.pdf: 23384970 bytes, checksum: 64820ac73b4f134ac41c4266732c2941 (MD5) license.txt: 4062 bytes, checksum: 4d3e5d3073f3ec080418b6bd97ad8cca (MD5) http://hdl.handle.net/2142/24228 en Copyright 2011 Bryan R. Wilcox limit switch dynamical systems Mechanical Sci & Engineering 1917 Mechanical Engineering 0133 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mechanical Enginerng -UIUC 10KS0133PHD