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

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jun 27, 2016
Source ID
10.1063/1.4954967

Entities

People

  • D. M. Kochmann
  • W. J. Drugan

Organizations

  • Army Research Office
  • California Institute of Technology
  • Defense Advanced Research Projects Agency
  • Division of Civil, Mechanical & Manufacturing Innovation
  • Division of Materials Research
  • University of Wisconsin–Madison

Tags

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
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  • Structural Health Monitoring of Composite Structures.