Modeling of Acoustic Vibration Theory Based on a Micro Thin Plate System and Its Control Experiment Verification

Abstract

As a novel control method, acoustic manipulation technology shows extraordinary talents in culturing of tissue and cell, microchip processing and research on material chemistry, which is closely relevant to the vibration modes and the driving signals of the acoustic system. In this paper, bringing up reasonable assumptions, from the perspective of vibration force analysis of a thin plate, the response function of the forced vibration thin plate is derived combining with the Green’s function. Simultaneously, the effective vibration frequencies of micro thin plate are determined. Using the finite element simulation software Comsol 5.6 building thin plate geometry in 2D, the vibration modes of a thin plate are numerically analyzed from the top view and the side view. Additionally, an experimental platform is established, and the vibration experiments of a square micro thin plate (5 cm × 5 cm × 0.625 mm) driven by a central acoustic source is conducted. By comparison, the corresponding experimental results are in good agreement with simulations. Furthermore, single particle motion control is also realized based on the presented platform, and the underlying mechanism is the effects of nodes and anti-nodes on particle motion. The vibrating platform here will become an effective manipulation tool for many scientific fields with the advantage of micro size, good compatibility, and multipurpose.