We propose a mathematical model of a multifunctional vibration-frequency measuring transducer of force with a cylindrical resonator. The resonator consists of an electromagnetic exciter and an induction receiver of oscillations. We present relations for the optimal form of longitudinal and transverse oscillations of the resonator, at which maximum sensitivity to the controlled parameter is reached and the energy spent on excitation of oscillations of the resonator is minimized. The signal-to-noise ratio, which takes into account the design parameters of the receiver and the oscillating agent, is obtained. The universal characteristic of the vibration-frequency measuring transducer of oscillation frequency with a cylindrical resonator is found.
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References
A. Abdallah, E. K. Reichel, T. Voglhuber-Brunmaier, et al., “Symmetric mechanical plate resonators for fl uid sensing,” Sens. Actuat. A: Phys., 232, 319–328 (2015).
A. G. Divin, S. V. Ponomarev, and G. V. Mozgova, Methods and Means of Measurement, Testing and Control: Teach. Aid, Izd. TGTU, Tambov (2012).
O. Oliynyk, Yu. Taranenko, A. Shvachka, and O. Chorna, “Development of an auto-oscillating system of vibration frequency sensors with a mechanical resonator,” East.-Europ. J. Enterpr. Technol., 85, 56–60 (2017).
A. Malas and S. Chatterjee, “Analysis and synthesis of modal and non-modal self-excited oscillations in a class of mechanical systems with nonlinear velocity feedback,” J. Sound and Vibr., 334, No. 6, 296–318 (2015).
A. Malas and S. Chatterjee, “Modal self-excitation by nonlinear acceleration feedback in a class of mechanical systems,” J. Sound and Vibr., 376, 1–17 (2016).
Z Hui-Ling and Z. Xin-Yin, “The high-precision vibration signal data acquisition system based on the STM32,” Sensors & Transd., 172, 98–104 (2014).
W. Xiao-Long, D. Lan, W. Lei W, and C. Li Hua, “Analysis and experimental concepts of the vibrating wire alignment technique,” Chin. Phys. C, 38, No. 11, 117010 (2014).
S. G. Arutunian, K. G. Bakshetyan, N. M. Dobrovolsky, et al., “Petra proton beam profi ling by vibrating wire scanner,” Proc. DIPAC, 38, No. 32, 181–183 (2005).
L. Viman and S. Lungu, “Electrical coupled model for two coils vibrating wire transducer,” 33rd Int. Spring Seminar IEEE. Electronics Technology (ISSE) (2010), pp. 421–426.
X. M. Zhang, G. R. Liu, and K. Y. Lam, “Vibration analysis of thin cylindrical shells using wave propagation,” J. Sound and Vibr., 239, No. 3, 397–403 (2001).
P. L. Woodfi eld, “Transient analytical solution for the motion of a vibrating cylinder in the Stokes regime using Laplace transforms,” J. Fluids and Struct., 54, 202–214 (2015).
X. B. Li, “Study on free vibration analysis of circular cylindrical shells using wave propagation,” J. Sound and Vibr., 311, No. 3–5, 311–667 (2008).
Yu. K. Taranenko, “Self-oscillating system of vibro-frequency fl uid density meter with mechanical resonator,” Izv. Vuz. Ser. Radioelektr., 49, No. 12, 29–45 (2006).
Yu. K. Taranenko, “Grading and calibration of current vibration frequency sensors with differential sensors,” Vost.-Evr. Zh. Pered. Tekhnol., 2/2, No. 26, 41–47 (2007).
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Translated from Izmeritel’naya Tekhnika, No. 7, pp. 41–46, July, 2018. Original
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Taranenko, Y.K., Oliynyk, O.Y. Multifunctional Vibration-Frequency Measuring Transducer of Force with Cylindrical Resonator. Meas Tech 61, 704–710 (2018). https://doi.org/10.1007/s11018-018-1488-0
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DOI: https://doi.org/10.1007/s11018-018-1488-0