In this work, the three-dimensional fluid–solid interaction vibration of particle in the oscillating resonator and its effect on the dynamic characteristics are analyzed and discussed. It demonstrates that the displacement of a particle is composed of two components, one is in phase with the acceleration of resonator and the other is out of phase. The former is responsible for the added mass effect and the latter results in a small damping. A modified measurement principle for detecting the buoyant mass is then presented by considering the in-phase component. The three-dimensional (3D) fluid–solid interaction problem involving the particle, fluid, and resonator is numerically solved, and the effects of density ratio, inverse Stokes number, and the ratio of channel height to particle diameter are studied. Based on the numerical results, a function characterizing the in-phase component is identified through a fitting procedure. According to the modified measurement principle and the analytical expression for the in-phase component, a calibration method is developed for measuring buoyant mass. Using this calibration method, the systematic measurement error induced by the vibration of particles can be effectively reduced.
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August 2019
Research-Article
Relative Vibration of Suspended Particles With Respect to Microchannel Resonators and Its Effect on the Mass Measurement
Han Yan,
Han Yan
State Key Laboratory of Mechanical System and Vibration,
School of Mechanical Engineering,
800 Dongchuan Road,
Shanghai 200240,
e-mail: yanhan@sjtu.edu.cn
School of Mechanical Engineering,
Shanghai Jiao Tong University
,800 Dongchuan Road,
Shanghai 200240,
China
e-mail: yanhan@sjtu.edu.cn
Search for other works by this author on:
Wen-Ming Zhang,
Wen-Ming Zhang
1
State Key Laboratory of Mechanical System and Vibration,
School of Mechanical Engineering,
800 Dongchuan Road,
Shanghai 200240,
e-mail: wenmingz@sjtu.edu.cn
School of Mechanical Engineering,
Shanghai Jiao Tong University
,800 Dongchuan Road,
Shanghai 200240,
China
e-mail: wenmingz@sjtu.edu.cn
1Corresponding author.
Search for other works by this author on:
Hui-Ming Jiang,
Hui-Ming Jiang
School of Mechanical Engineering,
516 Jungong Road,
Shanghai 200093,
e-mail: hmjiang@usst.edu.cn
University of Shanghai for Science and Technology
,516 Jungong Road,
Shanghai 200093,
China
e-mail: hmjiang@usst.edu.cn
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Kai-Ming Hu,
Kai-Ming Hu
State Key Laboratory of Mechanical System and Vibration,
School of Mechanical Engineering,
800 Dongchuan Road,
Shanghai 200240,
e-mail: hukaiming@sjtu.edu.cn
School of Mechanical Engineering,
Shanghai Jiao Tong University
,800 Dongchuan Road,
Shanghai 200240,
China
e-mail: hukaiming@sjtu.edu.cn
Search for other works by this author on:
Zhi-Ke Peng,
Zhi-Ke Peng
State Key Laboratory of
Mechanical System and Vibration,
School of Mechanical Engineering,
800 Dongchuan Road,
Shanghai 200240,
e-mail: z.peng@sjtu.edu.cn
Mechanical System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University
,800 Dongchuan Road,
Shanghai 200240,
China
e-mail: z.peng@sjtu.edu.cn
Search for other works by this author on:
Guang Meng
Guang Meng
State Key Laboratory of
Mechanical System and Vibration,
School of Mechanical Engineering,
800 Dongchuan Road,
Shanghai 200240,
e-mail: gmeng@sjtu.edu.cn
Mechanical System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University
,800 Dongchuan Road,
Shanghai 200240,
China
e-mail: gmeng@sjtu.edu.cn
Search for other works by this author on:
Han Yan
State Key Laboratory of Mechanical System and Vibration,
School of Mechanical Engineering,
800 Dongchuan Road,
Shanghai 200240,
e-mail: yanhan@sjtu.edu.cn
School of Mechanical Engineering,
Shanghai Jiao Tong University
,800 Dongchuan Road,
Shanghai 200240,
China
e-mail: yanhan@sjtu.edu.cn
Wen-Ming Zhang
State Key Laboratory of Mechanical System and Vibration,
School of Mechanical Engineering,
800 Dongchuan Road,
Shanghai 200240,
e-mail: wenmingz@sjtu.edu.cn
School of Mechanical Engineering,
Shanghai Jiao Tong University
,800 Dongchuan Road,
Shanghai 200240,
China
e-mail: wenmingz@sjtu.edu.cn
Hui-Ming Jiang
School of Mechanical Engineering,
516 Jungong Road,
Shanghai 200093,
e-mail: hmjiang@usst.edu.cn
University of Shanghai for Science and Technology
,516 Jungong Road,
Shanghai 200093,
China
e-mail: hmjiang@usst.edu.cn
Kai-Ming Hu
State Key Laboratory of Mechanical System and Vibration,
School of Mechanical Engineering,
800 Dongchuan Road,
Shanghai 200240,
e-mail: hukaiming@sjtu.edu.cn
School of Mechanical Engineering,
Shanghai Jiao Tong University
,800 Dongchuan Road,
Shanghai 200240,
China
e-mail: hukaiming@sjtu.edu.cn
Zhi-Ke Peng
State Key Laboratory of
Mechanical System and Vibration,
School of Mechanical Engineering,
800 Dongchuan Road,
Shanghai 200240,
e-mail: z.peng@sjtu.edu.cn
Mechanical System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University
,800 Dongchuan Road,
Shanghai 200240,
China
e-mail: z.peng@sjtu.edu.cn
Guang Meng
State Key Laboratory of
Mechanical System and Vibration,
School of Mechanical Engineering,
800 Dongchuan Road,
Shanghai 200240,
e-mail: gmeng@sjtu.edu.cn
Mechanical System and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University
,800 Dongchuan Road,
Shanghai 200240,
China
e-mail: gmeng@sjtu.edu.cn
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received October 31, 2018; final manuscript received February 17, 2019; published online March 25, 2019. Assoc. Editor: Slava Krylov.
J. Vib. Acoust. Aug 2019, 141(4): 041005 (12 pages)
Published Online: March 25, 2019
Article history
Received:
October 31, 2018
Revision Received:
February 17, 2019
Accepted:
February 17, 2019
Citation
Yan, H., Zhang, W., Jiang, H., Hu, K., Peng, Z., and Meng, G. (March 25, 2019). "Relative Vibration of Suspended Particles With Respect to Microchannel Resonators and Its Effect on the Mass Measurement." ASME. J. Vib. Acoust. August 2019; 141(4): 041005. https://doi.org/10.1115/1.4042937
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