Induced Changes in the Impedance of a Master Oscillator Due to Coupling to a Set of Satellite Oscillators: Linear Analysis
Abstract
The influence of a set of satellite oscillators on the response behavior of a master oscillator, to which the set is coupled, is of fundamental significance to structural acoustics and beyond. The focus is largely on the term that modifies the impedance of the master oscillator due to that coupling. The real and imaginary parts of this term are dubbed the induced reactive factor and the induced loss factor, respectively. For a passive set of satellite oscillators the induced reactive factor may be either positive (mass-like) or negative (stiffness-like) whereas the induced loss factor is invariably positive definite. The behavior of both induced factors as functions of frequency is explored, especially in the range of frequency spanning the resonance frequencies of the satellite oscillators. The resonance frequency of the master oscillator in isolation is placed centrally in this frequency range. The phenomenon of the 'supression of undulations', in the induced reactive factor and in the induced loss factor, as the modal overlap parameter approaches and exceeds unity, is demonstrated. Also demonstrated and defined is the phenomenon of 'erosion' in these induced factors, again, as the modal overlap parameter approaches and increases beyond unity.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 2001
- Accession Number
- ADA392571
Entities
People
- Gideon Maidanik
- K. J. Becker
Organizations
- Naval Surface Warfare Center Carderock Division