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.

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

Research on Character of Integrated Quartz Crystal Resonators

2011 ◽  
Vol 382 ◽  
pp. 159-162 ◽  
Author(s):  
Wen Jie Tian ◽  
You Bin Sun ◽  
Hong Yun Zhou ◽  
Gui Feng Dong
Keyword(s):  
Quartz Crystal ◽  
Research Result ◽  
Difference Frequency ◽  
Frequency Variation ◽  
Quartz Crystal Resonator ◽  
Crystal Resonator ◽  
Crystal Substrate ◽  
Mixing Frequency ◽  
Quartz Crystal Resonators ◽  
Crystal Wafer

The force sensitive characteristic of integrated quartz crystal resonator assembled on one quartz crystal substrate with a certain radial direction force are studied, and it is also studied that the force sensitive characteristic of output frequency which is the mixing frequency by resonant frequency corresponded to the resonators in the different position of the same quartz crystal wafer outputted in difference frequency way. The research result shows the force sensitive characteristic of AT-cut integrated three-electrode quartz crystal resonator outputted in difference frequency way is 1.3 times of that of the traditional single-electrode resonator. The force sensitive characteristic of the integrated four-electrode resonator is a little bit smaller, but two sets of output can be obtained at the same time. The frequency stability of all integrated quartz resonator can get to the magnitude of 10-10 and relative frequency variation is about ±5ppm in the range of -50°C to 60°C.

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

Design and Characterization of Load Sensor with AT-Cut QCR for Miniaturization and Resolution Improvement

2010 ◽  
Vol 22 (3) ◽  
pp. 286-292 ◽  
Author(s):  
Keisuke Narumi ◽  
◽  
Toshio Fukuda ◽  
Fumihito Arai ◽  
Keyword(s):  
High Speed ◽  
Quartz Crystal ◽  
High Sensitivity ◽  
Measurement Range ◽  
Quartz Crystal Resonator ◽  
Load Measurement ◽  
Crystal Resonator ◽  
Load Sensor ◽  
Frequency Changes ◽  
Quartz Crystal Resonators

The compact load sensor we developed uses an AT-cut quartz crystal resonator whose resonance frequency changes under external load, featuring high sensitivity, high-speed response, and a wide measurement range – plus superior temperature and frequency stability. The vulnerability of previous quartz crystal resonators to stress concentration in bending prevented them from being more widely applied to load measurement. The sensor we developed maintains the quartz crystal resonator safely. Our objective here is to improve load measurement resolution and to miniaturize the sensor, which we did designing novel retention of the quartz crystal resonator fixed vertical to applied load. The new load sensor’s resolution is 3.21 mN –seven times better than conventional load sensors.

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