Show simple item record

The stability and response of a flexible rod in a quick return mechanism

dc.contributor.authorBeale, D. G.en_US
dc.contributor.authorScott, R. A.en_US
dc.date.accessioned2006-04-10T13:36:54Z
dc.date.available2006-04-10T13:36:54Z
dc.date.issued1990-09-08en_US
dc.identifier.citationBeale, D. G., Scott, R. A. (1990/09/08)."The stability and response of a flexible rod in a quick return mechanism." Journal of Sound and Vibration 141(2): 277-289. <http://hdl.handle.net/2027.42/28391>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6WM3-4951GG7-D1/2/ecf26b9ebfcca0d50568a28d2462182fen_US
dc.identifier.urihttps://hdl.handle.net/2027.42/28391
dc.description.abstractA quick return mechanism is analyzed for deflection and stability when the rod is considered an Euler-Bernoulli beam. The crank is assumed rigid and to be rotating at a constant angular velocity. The equations of motion and natural boundary conditions are obtained using Hamilton's principle. Spatial dependence is suppressed using Galerkin's method with the time dependent pinned-pinned overhanging beam modes. Using a small crank length approximation, zones of parametric resonance are found using Hsu's method. The accuracy of these is verified using a monodromy matrix technique. The technique is also used to explore the possibility of resonances not covered by Hsu's (first order) method. A particular solution instability is found to exist using Hsu's method and is verified by direct numerical integration. For a somewhat flexible configuration, all instabilities were found to lie outside the range of normal operating speeds. For stiffer configurations likely to be found in practice, this conclusion can be asserted even stronger, at least for small cranks.en_US
dc.format.extent856314 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleThe stability and response of a flexible rod in a quick return mechanismen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Michigan 48109, U.S.A.en_US
dc.contributor.affiliationotherAuburn University, Auburn, Alabama 36849, U.S.A.en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/28391/1/0000165.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0022-460X(90)90840-Ven_US
dc.identifier.sourceJournal of Sound and Vibrationen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


Files in this item

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.