# Article 7115

 Title of the article A MATHEMATICAL MODEL OF THE DEPENDENCE OF THE OUTPUT SIGNAL ERROR OF PIEZORESISTIVE FORCE SENSORS ON THE APPLIED LOAD Authors Mayorov Artem Vladislavovich, Postgraduate student, Penza State University (40 Krasnaya street, Penza, Russia), ibaness@yandex.ru Svetlov Anatoliy Vil'evich, Doctor of engineering sciences, professor, head of sub-department of radio engineering and radio electronic systems, Penza State University (40 Krasnaya street, Penza, Russia), retch@pnzgu.ru Index UDK 621.317.3 Abstract Background. The research object is the force sensors based on piezoresistive bridges. The subject is the dependence of the transformation function error of piezoresistive force sensors on the applied load value. The aim of the study is to create a mathematical model describing the dependence of the output signal error of piezoresistive force sensor on the applied load. Materials and methods. The suggested mathematical model of the dependence of the output signal error of piezoresistive force sensors on the applied loads is based on the Lagrange interpolation polynomial. Results. The authors suggested the mathematical model describing the dependence of the output signal convertion error on the applied pressure for piezoresistive force sensors with different values of the maximum load. The proposed mathematical model is a power polynomial, built on the basis of the Lagrange interpolation polynomial, and allows to take into account the dependence of the output signal error of piezoresistive force sensors on the applied loads at digital data processing. Conclusions. Application of the proposed model of the dependence of the output signal error on the applied load of piezoresistive force sensors allows to take into account the nonlinearity of the conversion function of the force sensors in the entire load range. This allows to reduce the basic error of IMS-based force sensors. Application of the proposed mathematical model does not require to precisely take the dependence of the output signal on the applied load throughout the range of loads that greatly simplifies the process of setting up systems using force sensors. Key words pressure sensor, main error, information-measuring system, digital signal processing, mathematical model. References 1. Stuchebnikov V. M., Ustinov A. A., Nagornov Yu. S. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Tekhnicheskie nauki [University proceedings. Volga region. Engineering sciences]. 2010,no.2(14),pp.62–69. 2. Mayorov A. V. Nadezhnost' i kachestvo: tr. Mezhdunar. simpoziuma [Reliability and quality: proceedings of the International symposium]. Penza: Izd-vo PGU, 2014, pp. 96–99. 3. SG-Y piezoresistor specification. Available at: http://www.hbm.cz/Prospekty/Tenzometry/SG_Y/cat_sg_y_e.pdf 4. Voltage-reference diode of 2S198 series. Available at: http://www.nzpp.ru/product/page23.php 5. Manual for AGILENT TECHNOLOGIES 34420 abvolt-micrometer. Available at: http://cp.literature.agilent.com/litweb/pdf/5968-0161EN.pdf 6. Demidovich B. P., Maron I. A. Osnovy vychislitel'noy matematiki [Basic calculus mathematics]. Moscow: Nauka, 1966, 664 p. 7. Natanson I. P. Konstruktivnaya teoriya funktsiy [Constructive theory of functions]. Moscow: Gos. izd-vo tekhn.-teoret. lit-ry, 1949, 688 p.

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Дата обновления: 03.07.2015 14:58