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Nonlinear contact mechanics based on ring-down experiments with quartz crystal resonators

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons47639

Berg,  S.
MPI for Polymer Research, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons48112

Johannsmann,  Diethelm
MPI for Polymer Research, Max Planck Society;

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Citation

Berg, S., Prellberg, T., & Johannsmann, D. (2003). Nonlinear contact mechanics based on ring-down experiments with quartz crystal resonators. Review of Scientific Instruments, 74(1), 118-126.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-62C5-D
Abstract
We report on the explicit derivation of a nonlinear spring constant and a nonlinear friction coefficient describing the interaction between an oscillating quartz plate and a tip touching its surface. The analysis is based on ring-down experiments. After the electrical excitation is turned off, the decay of the oscillation shows an amplitude-dependent resonance frequency and decay rate. This "chirp" does not occur when the quartz plate is out of contact. The chirp and the nonlinear decay rate are converted to a nonlinear spring constant κ1(x) and a nonlinear friction coefficient ζ1(x) by means of a perturbation analysis. (C) 2003 American Institute of Physics.