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

Berg, S.; Prellberg, T.; Johannsmann, Diethelm

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

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

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

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引用

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.

引用: https://hdl.handle.net/11858/00-001M-0000-000F-62C5-D

要旨

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.