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Published June 27, 2016 | Published
Journal Article Open

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


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.

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.

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