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An infinitely-stiff elastic system via a tuned negative-stiffness component stabilized by rotation-produced gyroscopic forces

Kochmann, D. M. and Drugan, W. J. (2016) An infinitely-stiff elastic system via a tuned negative-stiffness component stabilized by rotation-produced gyroscopic forces. Applied Physics Letters, 108 (26). Art. No. 261904. ISSN 0003-6951. https://resolver.caltech.edu/CaltechAUTHORS:20160705-084725238

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Abstract

An elastic system containing a negative-stiffness element tuned to produce positive-infinite system stiffness, although statically unstable as is any such elastic system if unconstrained, is proved to be stabilized by rotation-produced gyroscopic forces at sufficiently high rotation rates. This is accomplished in possibly the simplest model of a composite structure (or solid) containing a negative-stiffness component that exhibits all these features, facilitating a conceptually and mathematically transparent, completely closed-form analysis.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.4954967DOIArticle
http://scitation.aip.org/content/aip/journal/apl/108/26/10.1063/1.4954967PublisherArticle
ORCID:
AuthorORCID
Kochmann, D. M.0000-0002-9112-6615
Additional Information:© 2016 AIP Publishing. Received 27 April 2016; accepted 13 June 2016; published online 27 June 2016. We acknowledge support from NSF Grant No. DMR-0949254 and ARO/DARPA Grant No. 57492-EG-DRP. D.M.K. acknowledges support from NSF through CAREER award CMMI-1254424. W.J.D. acknowledges support from the U.S. Army Research Office under Grant No. W911NF-13-1-0484.
Group:GALCIT
Funders:
Funding AgencyGrant Number
NSFDMR-0949254
Army Research Office (ARO)57492-EG-DRP
NSFCMMI-1254424
Army Research Office (ARO)W911NF-13-1-0484
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Issue or Number:26
Record Number:CaltechAUTHORS:20160705-084725238
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160705-084725238
Official Citation:An infinitely-stiff elastic system via a tuned negative-stiffness component stabilized by rotation-produced gyroscopic forces D. M. Kochmann and W. J. Drugan Applied Physics Letters 108, 261904 (2016); doi: 10.1063/1.4954967
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:68824
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:06 Jul 2016 02:38
Last Modified:03 Oct 2019 10:16

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