Mechatronics Engineering Department at Escola Politecnica da Universidade de Sao Paulo, Sao Paulo, Brazil.
IEEE Trans Ultrason Ferroelectr Freq Control. 2011 Aug;58(8):1674-83. doi: 10.1109/TUFFC.2011.1995.
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.
提出了一种用于模拟声学悬浮器的矩阵方法。典型的声学悬浮器由超声换能器和反射器组成。矩阵方法用于确定悬浮器产生的驻波场中小球所受声辐射力的潜力。该方法基于瑞利积分，并考虑了在换能器和反射器之间发生的多次反射。通过将矩阵方法的结果与使用单轴声学悬浮器的轴对称模型的有限元方法的结果进行比较，验证了矩阵方法获得的声辐射力潜力。验证后，该方法应用于由两个 37.9 kHz 兰杰文型换能器和一个平面反射器组成的非接触式操纵系统的模拟中。该操纵系统允许通过改变两个换能器之间的相位差来控制小悬浮球体的水平位置，从-6 毫米到 6 毫米。矩阵方法预测的球体水平位置与使用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，它允许模拟非对称声学悬浮器，而不需要大量的计算工作。
