Relative vibration of suspended particles with respect to microchannel resonators and its effect on the mass measurement

[+] Author and Article Information
Han Yan

800 Dongchuan Road, Shanghai 200240, China Shanghai, 200240 China yanhan@sjtu.edu.cn

Wen-Ming Zhang

800 Dongchuan Road Shanghai, 200240 China wenmingz@sjtu.edu.cn

Hui-Ming Jiang

School of Mechanical Engineering, University of Shanghai for Science and Technology Shanghai, China Shanghai, Shanghai 200240 China hmjiang@usst.edu.cn

Kai-Ming Hu

800 Dongchuan Road, Shanghai 200240, China shanghai, 200240 China hukaiming@sjtu.edu.cn

Zhi-Ke Peng

State Key Laboratory of Mechanical System and Vibration Shanghai, Shanghai 200240 China z.peng@sjtu.edu.cn

Guang Meng

The State Key Laboratory of Mechanical System and Vibration School of Mechanical Engineering Shanghai, 200240 China 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 xx xx, xxxx. Assoc. Editor: Slava Krylov.

ASME doi:10.1115/1.4042937 History: Received October 31, 2018; Accepted February 17, 2019


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 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 buoyant mass is then presented by considering the in-phase component. The 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 particle can be effectively reduced.

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