ASYMMETRIC NATURAL VIBRATIONS OF ORTHOTROPIC CIRCULAR PLATES OF VARIABLE THICKNESS.

Abstract

Natural frequencies corresponding to asymmetric modes of vibration of orthotropic circular plates with variable thickness were investigated. The governing differential equation is solved by the method of separation of variables together with Frobenius' method. The characteristic equations for the natural frequencies of clamped and simply supported plates are derived. Numerical values of frequencies corresponding to several modes of vibrations are presented for various particular plate shapes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1969
Accession Number
AD0685256

Entities

People

  • Alan P. Salzman
  • Sharad A. Patel

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Frequency
  • Frequency Shift
  • Mathematics
  • Mechanical Waves
  • Motion
  • Resonant Frequency
  • Shape
  • Thickness
  • Vibration
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.