Dependence of the Induced Loss Factor on the Coupling Forms and Coupling Strengths: Energy Analysis

Abstract

In two recent papers the induced loss factor is determined via the modification to the loss factor in the linear impedance of a master oscillator caused by its coupling to a set of satellite oscillators. A recapitulation of this linear impedance analysis (LIA) is presented. A loss factor is basically an energetic quantity and, therefore, one may inquire whether the induced loss factor may be estimated via an energy analysis (EA). An answer to this question is sought. It is shown that the two analyses; (LIA) and (EA), yield in the appropriate frequency range, identical results for the induced loss factor. This frequency range spans the distribution of resonance frequencies of the satellite oscillators. In this frequency range the identity of the results is not only in terms of gross features, but also in details. Finally, the relationship of (EA) to statistical energy analysis (SEA) is explored. The loss factors of the satellite oscillators are directly related to modal overlap parameters. It is found that for the stronger couplings, the validation of (SEA) may require these modal overlap parameters to exceed a certain threshold.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2001
Accession Number
ADA390138

Entities

People

  • Gideon Maidanik

Organizations

  • Naval Surface Warfare Center Carderock Division

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Control Systems Engineering
  • Couplings
  • Design Criteria
  • Energy
  • Equations
  • Equations Of Motion
  • Frequency
  • Identities
  • Impedance
  • Kinetic Energy
  • Oscillators
  • Potential Energy
  • Resonance
  • Stiffness
  • Surface Warfare
  • Test And Evaluation

Fields of Study

  • Physics

Readers

  • Electronics Engineering
  • Systems Analysis and Design
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space