Acoustic levitation (Aclev) is an important tool to noncontact handling of containerless objects. In the recent years, many devices have been successfully developed due to the stable behavior of the Aclev devices. As a result, most of the works on Aclev concentrate on numerical simulations or experimental tests to study the geometry and arrangements of the acoustic emitters, or the influence of various types of perturbations, and most of the mathematical models consider only the acoustic potential. In this work, the nonlinear equation of motion for a levitated particle immersed in a single-axis acoustic field is developed considering dissipative forces. The parameter space is searched for the existence of equilibrium points bifurcations, and a design range for the Aclev device gains is determined from the equilibrium point existence condition, providing hints in order to improve the stability gain margin and, consequently, the robustness to perturbations. In addition, the dynamical behavior of the Aclev device concerning the gains is studied considering also the micro-gravity situation. Numerical simulations corroborate the analytical results.

中文翻译：

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单轴声学悬浮器的鞍形节点分岔和设计参数

声悬浮 (Aclev) 是非接触式处理无容器物体的重要工具。近年来，由于Aclev器件的稳定行为，已经成功开发了许多器件。因此，Aclev 的大部分工作都集中在数值模拟或实验测试上，以研究声发射器的几何形状和排列，或各种类型扰动的影响，而大多数数学模型只考虑声势。在这项工作中，考虑了耗散力，开发了浸入单轴声场中的悬浮粒子的非线性运动方程。搜索参数空间是否存在平衡点分岔，并根据平衡点存在条件确定 Aclev 器件增益的设计范围，提供提示以提高稳定性增益裕度，从而提高对扰动的鲁棒性。此外，还考虑了微重力情况，研究了 Aclev 设备关于增益的动态行为。数值模拟证实了分析结果。