Phase-Locked Loop Technique to Record Resonance Frequency of Plant Tissue

1976 ◽  
Vol 36 (2) ◽  
pp. 113-117 ◽  
Author(s):  
P. AXELSSON ◽  
A. JOHNSSON
2006 ◽  
Vol 18 (23) ◽  
pp. 2457-2459 ◽  
Author(s):  
Shigehiro Takasaka ◽  
Yasuyuki Ozeki ◽  
Shu Namiki ◽  
Misao Sakano

Author(s):  
Matthew Clark ◽  
Z. C. Feng

This paper explores dynamically deriving the mechanical properties of a substrate. A method is presented in which a phase locked loop (PLL) is used to find the resonance frequency of a mechanical model consisting of an oscillating probe and a material substrate. This is done by first presenting an accurate PLL which is stable for nonlinear systems. The relationship between the system frequency and the stiffness of the material substrate is derived theoretically. The stiffness of the substrate is obtained by combining the theoretical result and the converging resonance frequency from PLL.


2014 ◽  
Vol 5 ◽  
pp. 278-288 ◽  
Author(s):  
Gheorghe Stan ◽  
Santiago D Solares

The resonance frequency, amplitude, and phase response of the first two eigenmodes of two contact-resonance atomic force microscopy (CR-AFM) configurations, which differ in the method used to excite the system (cantilever base vs sample excitation), are analyzed in this work. Similarities and differences in the observables of the cantilever dynamics, as well as the different effect of the tip–sample contact properties on those observables in each configuration are discussed. Finally, the expected accuracy of CR-AFM using phase-locked loop detection is investigated and quantification of the typical errors incurred during measurements is provided.


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