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Hardness Detection Sensor for Cubic Nonlinear Elasticity Using Nonlinear Self-Excited Oscillation

[+] Author Affiliations
Yosuke Kokubun, Hiroshi Yabuno

Keio University, Yokohama, Kanagawa, Japan

Masaharu Kuroda, Yasuyuki Yamamoto

National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki, Japan

Paper No. DETC2013-12745, pp. V07AT10A064; 5 pages
  • ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 7A: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Portland, Oregon, USA, August 4–7, 2013
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5596-6
  • Copyright © 2013 by ASME


This paper proposes a measurement method of cubic non-linear elasticity. The measurement system consists of a vibrator and a control circuit. We apply a nonlinear feedback to actuate the vibrator for inducing van der Pol type self-excited oscillation, so that the response amplitude of the oscillation can be arbitrarily set by changing the nonlinear feedback gain. We focus on the fact that the nonlinear elasticity causes a natural frequency shift related to the vibration amplitude of the object. We can set the response amplitude various values by changing the nonlinear feedback gain and measure the shift of the response frequency depending on the magnitude of the response amplitude. As a result, the bend of the backbone curve reflecting the nonlinear elasticity of the object is obtained.

Copyright © 2013 by ASME



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