Simple Formulae for Calculating the Vibrational Frequencies of Plates, Shells and Membranes.

Abstract

Simple approximate formulae for estimating the vibrational frequencies of plates, shells and membranes are presented. These formulae take the general form F = A/W sub max where F is a frequency parameter, A is a numerical parameter having a constant value for many different problems, and W sub max is the maximum deflection of an associated static deflection problem. The approach is particularly simple and the agreement between the frequencies calculated using the approximate formulae and those calculated using standard vibration analyses is excellent. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1978
Accession Number
ADA071639

Entities

People

  • R. Jason Jones

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aeronautics
  • Agreements
  • Applied Mathematics
  • Composite Materials
  • Deflection
  • Department Of Defense
  • Engineering
  • Frequency
  • Geometry
  • Materials
  • Materials Science
  • Mathematics
  • Mechanics
  • Membranes
  • National Security
  • United States
  • Vibration

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Structural Dynamics.