Theoretical and Experimental Research of Nonlinear Physical Systems Use in the Base of Displacements Measurement

Almantas MOZURAS  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E76-A   No.8   pp.1343-1349
Publication Date: 1993/08/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Nonlinear Circuits and Systems
Keyword: 
nonlinearity,  thermostability,  displacement,  distance,  measurement,  

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Summary: 
The physical system is considered more suitable for measurement purposes the greater is its linearity. However, in nature and engineering there are no purely linear physical transducing systems for convertion a primary onformation. The use of the linear features of the system in the measurement process finally causes the drawbacks: systematic error due to nonlinear distortions, low ratio informative signal/ noise, the necessity to evaluate a great number of the a priori parameters of the transducer in order to receive an absolute result, low thermostability because every a priori parameter itself has a temperature dependence. To exclude these drawbacks a method has been developed using nonlinear physical systems in the base of the displacements measurement. In this work is presented the realization of the method using electretic and electrostatic transducer as a converting physical system. A contactless transducer is placed parallelly to the surface of the object which displacements are measured. The transducer is driven to harmonic oscillations. Typical time intervals between even and odd extremums of the transducer output signal are measured. The object displacements are determined according to the changes of the typical time intervals. The method itself has no errors because approximations were not made while deriving the relations. The source of the errors is inaccurate registration of the start and the end of the typical time intervals. In the work are analysed the errors related to the concrete realization devices: analogue differentiator, peak detector and analog digital transducer. It is shown that the measurement is possible only if the physical system is nonlinear. The method is generalized to that case if the function of transformation of ths system has the form f(x) and monotonous character. The results of experimental investigations confirm the theoretical conclusions.