Matrix Method for Acoustic Levitation Simulation
Matrix Method for Acoustic Levitation Simulation
复制标题
DOI：
10.1109/tuffc.2011.1995
复制
发表时间：
2011-08-01
影响因子：
3.6
通讯作者：
Adamowski, Julio C.
中科院分区：
文献类型：
--
作者：
Andrade, Marco A. B.;Perez, Nicolas;Adamowski, Julio C.
提出了一种模拟声悬浮器的矩阵方法。典型的声悬浮器由超声波换能器和反射器组成。矩阵法用于确定悬浮器产生的驻波场中作用于小球体上的声辐射力的势能。该方法基于瑞利积分，并且考虑了换能器和反射器之间发生的多次反射。通过将单轴声悬浮器轴对称模型的矩阵法结果与有限元法结果进行比较，验证了矩阵法获得声辐射力的潜力。经过验证，该方法应用于由两个37.9kHz Langevin型换能器和一个平面反射器组成的非接触操纵系统的仿真。该操纵系统可以将小悬浮球体的水平位置控制在-6毫米到6毫米之间，这是通过改变两个传感器之间的相位差来实现的。矩阵法预测的球体水平位置与电荷耦合器件相机实验测量的水平位置一致。矩阵方法的主要优点是它可以模拟非对称声悬浮器，而不需要太多的计算工作。
A matrix method is presented for simulating acoustic levitators. A typical acoustic levitator consists of an ultrasonic transducer and a reflector. The matrix method is used to determine the potential for acoustic radiation force that acts on a small sphere in the standing wave field produced by the levitator. The method is based on the Rayleigh integral and it takes into account the multiple reflections that occur between the transducer and the reflector. The potential for acoustic radiation force obtained by the matrix method is validated by comparing the matrix method results with those obtained by the finite element method when using an axisymmetric model of a single-axis acoustic levitator. After validation, the method is applied in the simulation of a noncontact manipulation system consisting of two 37.9-kHz Langevin-type transducers and a plane reflector. The manipulation system allows control of the horizontal position of a small levitated sphere from -6 mm to 6 mm, which is done by changing the phase difference between the two transducers. The horizontal position of the sphere predicted by the matrix method agrees with the horizontal positions measured experimentally with a charge-coupled device camera. The main advantage of the matrix method is that it allows simulation of non-symmetric acoustic levitators without requiring much computational effort.