THEORETICAL STUDY OF RESONANT STIFFENING DEVICES

Abstract

The vibration properties of a plate or a rod with attached mechanical structures, called resonators, are studied by transfer matrix and Green's function techniques. The plate may be in a vacuum, or acoustically coupled to water on one side. The effects of an added resonator at a given frequency depend only on its response strength in each of its modes of vibration. Expressions are derived for the strengths of several useful resonator types. Boundary conditions for the plate, such as clamping or simple support, are satisfied by the mathematical device of attaching resonators of infinite strength. A piston cut out of the plate material is handled similarly. Formulas for the interactions 'influence coefficients' between the modes of different resonators are given. Expansions are developed for the transcendental integrals that arise in the problems treated.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1964
Accession Number
AD0611564

Entities

People

  • David L. Yarmush

Organizations

  • Control Data Corporation

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Acoustic Propagation
  • Acoustic Waves
  • Differential Equations
  • Doppler Effect
  • Frequency
  • Integrals
  • Materials
  • Modulus Of Elasticity
  • Network Protocols
  • Power Series
  • Secondary Waves
  • Standing Waves
  • Three Dimensional
  • Two Dimensional
  • Vibration
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.
  • Thermal Physics or Thermal Science.