Chapter

The Quartz Crystal Microbalance in Soft Matter Research

Part of the series Soft and Biological Matter pp 313-336

Date:

Nonlinear Interactions

  • Diethelm JohannsmannAffiliated withInstitute of Physical Chemistry, Clausthal University of Technology Email author 

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Abstract

If the stress at the resonator surface is not proportional to the displacement (if there is nonlinear response), the frequency shift depends on the amplitude of oscillation. Nonlinearities can also be detected in the form of steady forces, steady flows, second-harmonic signals, and third-harmonic signals. The chapter gives particular emphasis to the amplitude dependence of the frequency shift. It is analyzed in the frame of a time-averaged periodic stress inserted into the SLA. An application example is the study of partial slip.