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19 November 2021 Mathematical modeling and parameter optimization of the resonator for the vibrating tube
Sixian Wang, Jintao Wang
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Proceedings Volume 12059, Tenth International Symposium on Precision Mechanical Measurements; 1205904 (2021) https://doi.org/10.1117/12.2611018
Event: Tenth International Symposium on Precision Mechanical Measurements, 2021, Qingdao, China
Abstract
The vibrating tube densimeter measures the liquid density based on the relationship between the natural frequency of the resonator and the liquid density in the tube. However, the problem of constructing a complete mathematical model and optimizing the structure size and working mode of the resonator remains unsolved. The paper presents a complete set of working equations of the resonator constructed by Euler Bernoulli beam theory. In addition, the analytical formula of the resonator sensitivity and the Q-factor was deduced. According to the analytical formula, the variation rule of the resonator sensitivity and the Q-factor under different structure sizes and working modes is analyzed, which provides a theoretical basis for optimizing the structure size and working mode of the vibrating tube resonator.
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Sixian Wang and Jintao Wang "Mathematical modeling and parameter optimization of the resonator for the vibrating tube", Proc. SPIE 12059, Tenth International Symposium on Precision Mechanical Measurements, 1205904 (19 November 2021); https://doi.org/10.1117/12.2611018
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KEYWORDS
Resonators
Mathematical modeling
Optimization (mathematics)
Partial differential equations
Motion models
Oscillators
Sensors
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