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

2003 ◽  
Vol 74 (1) ◽  
pp. 118-126 ◽  
Author(s):  
Steffen Berg ◽  
Thomas Prellberg ◽  
Diethelm Johannsmann
Keyword(s):  
Contact Mechanics ◽  
Quartz Crystal ◽  
Nonlinear Contact ◽  
Quartz Crystal Resonators

Nonlinearities in contact mechanics experiments with quartz crystal resonators

2003 ◽  
Vol 541 (1-3) ◽  
pp. 225-233 ◽  
Author(s):  
Steffen Berg ◽  
Diethelm Johannsmann
Keyword(s):  
Contact Mechanics ◽  
Quartz Crystal ◽  
Quartz Crystal Resonators

Quartz crystal resonators with atomically smooth surfaces for use in contact mechanics

2003 ◽  
Vol 74 (8) ◽  
pp. 3845-3852 ◽  
Author(s):  
Steffen Berg ◽  
Marina Ruths ◽  
Diethelm Johannsmann
Keyword(s):  
Contact Mechanics ◽  
Quartz Crystal ◽  
Smooth Surfaces ◽  
Quartz Crystal Resonators

High frequency contact mechanics based on quartz crystal resonators: application to polymer surfaces

2002 ◽  
Vol 734 ◽  
Author(s):  
Steffen Berg ◽  
Diethelm Johannsmann
Keyword(s):  
Contact Mechanics ◽  
Friction Force ◽  
High Frequency ◽  
Quartz Crystal ◽  
Metal Contacts ◽  
Crystal Resonator ◽  
Ceramic Surfaces ◽  
Metal Metal ◽  
Shear Motion ◽  
Quartz Crystal Resonators

ABSTRACTHigh frequency contact mechanics experiments were carried with a quartz crystal resonator, the surface of which was coated with a polystyrene film. The experiment is based on the ring-down of the resonator after the electrical excitation has been stopped. When a tip touches the quartz surface, the shear motion of the quartz is perturbed, which can be used to study force-displacement and force-speed relations in the contact zone. A nonlinear spring constant κl(x) and a nonlinear friction coefficient ξl(ẋ) are explicitly derived. When a ceramic sphere touches a polymer film the friction force depends more than linearly on lateral speed. This contrasts to metal-metal contacts or contacts between ceramic surfaces, where the friction force depends either linearly of sub-linearly on speed.

Electrical behaviour of AT-cut quartz crystal resonators as a function of overtone number

2010 ◽  
Vol 159 (2) ◽  
pp. 174-183 ◽  
Author(s):  
M. Cassiède ◽  
J.H. Paillol ◽  
J. Pauly ◽  
J.-L. Daridon
Keyword(s):  
Quartz Crystal ◽  
Electrical Behaviour ◽  
Quartz Crystal Resonators
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