Stiffness modeling for near field acoustic levitation bearings

TL;DR

This paper develops analytical models for the dynamic and effective stiffness of near-field acoustic levitation bearings, validated through experiments, to better predict levitation forces and behaviors.

Contribution

It introduces two types of system stiffness models for near-field acoustic levitation bearings, enhancing understanding and prediction of their dynamic behavior.

Findings

Two non-linear, asymmetric spring constants identified

Models accurately predict levitation force and height

Experimental validation confirms model effectiveness

Abstract

The dynamic characteristics of near-field levitation bearings have been investigated in this study. Through theoretical analysis, two different types of system stiffness are defined and derived analytically. The dynamic stiffness relates the excitation amplitude to the dynamic force amplitude, while the effective stiffness governs the time-averaged force-displacement relationship. The results indicate two non-linear and asymmetric spring constants that can effectively predict levitation force and height. The models are verified with a carefully designed experimental setup to eliminate the structural resonance effect. Besides, some unique dynamic behaviors are investigated and predicted based on the proposed stiffness model.