Eigenfrequencies of a cylindrical cavity with an internal off‐axis spherical obstacle
- Resource Type
- Authors
- James B. Mehl; M. Barmatz; G. Aveni
- Source
- The Journal of the Acoustical Society of America. 82:S107-S107
- Subject
- Singular perturbation
Work (thermodynamics)
Classical mechanics
Acoustics and Ultrasonics
Arts and Humanities (miscellaneous)
Position (vector)
Obstacle
Cylinder
Resonance
Mechanics
Spatial dependence
Adiabatic process
Mathematics
- Language
- ISSN
- 0001-4966
A hard spherical obstacle is mounted inside a cylindrical cavity at a variable position. The resonance frequencies of the cavity were determined as a function of the position of the sphere for obstacle positions on and off the axis of the cylinder. The dependence of the resonance frequency on the sphere position is important in analyzing the stability of acoustically levitated samples. The results are in good agreement with theoretical calculations based on the singular perturbation theory of Mehl and Hill. The measurements will also be compared to a new theory that utilizes the Boltzmann‐Ehrenfest adiabatic principle to predict the spatial dependence of the acoustic potential from the resonance frequencies. [Work supported by NASA.]