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Numerical and Analytical Analyses of Bi-Stable Element As Negative Stiffness

[+] Author Affiliations
Akintoye Olumide Oyelade

University of Lagos, Akoka, Nigeria

Paper No. IMECE2018-87175, pp. V04BT06A048; 5 pages
doi:10.1115/IMECE2018-87175
From:
  • ASME 2018 International Mechanical Engineering Congress and Exposition
  • Volume 4B: Dynamics, Vibration, and Control
  • Pittsburgh, Pennsylvania, USA, November 9–15, 2018
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5204-0
  • Copyright © 2018 by ASME

abstract

In this paper, negative stiffness in static state is made stable by constraining it in positive matrix. The stability of the system is tested using energy function. The motion of the two mass model system is described with a system of two coupled nonlinear differential equations. The numerical results are validated by comparing the predictions with calculations from analytical method. For small oscillations about the static equilibrium position the numerical model agree with analytical model. The developed model can be served as an efficient means of eliciting negative stiffness.

Copyright © 2018 by ASME
Topics: Stiffness

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