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Sensitivity Optimization Method of Vibrating Tube Densitometer |
WANG Si-xian,ZHANG Jing-yue,WANG Jin-tao |
National Institute of Metrology, Beijing 100029, China |
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Abstract Based on Euler-Bernoulli beam theory, an inhomogeneous partial differential equation describing the resonator of vibrating tube densitometer is constructed and solved. An analytical equation for computing the sensitivity of the resonator is given. Based on the analytical equation and combined with the wet modal analysis of ANSYS Workbench, the variation rule of resonator sensitivity under different structural sizes and working modes is analyzed. According to the analysis results, 13 straight tube samples with different structure sizes were selected and fabricated. The validity of the analytical formula was verified by experiments on these samples using force hammer modal analysis method. It is found that the sensitivity of the straight tube resonator can be significantly improved by a series of measures including reducing the effective length, increasing the inner radius and taking the wall thickness to the critical value, up to -1.904Hz·kg-1·m3
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Received: 14 December 2021
Published: 18 April 2023
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