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Dynamic Testing of Mechanical Properties of a Substrate Using Phase-Locked-Loop

[+] Author Affiliations
Matthew Clark, Z. C. Feng

University of Missouri at Columbia

Paper No. IMECE2005-81392, pp. 517-522; 6 pages
doi:10.1115/IMECE2005-81392
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Design Engineering, Parts A and B
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Design Engineering Division
  • ISBN: 0-7918-4215-0 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

This paper explores dynamically deriving the mechanical properties of a substrate. A method is presented in which a phase locked loop (PLL) is used to find the resonance frequency of a mechanical model consisting of an oscillating probe and a material substrate. This is done by first presenting an accurate PLL which is stable for nonlinear systems. The relationship between the system frequency and the stiffness of the material substrate is derived theoretically. The stiffness of the substrate is obtained by combining the theoretical result and the converging resonance frequency from PLL.

Copyright © 2005 by ASME

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