Dynamic Analysis of Elastic Plates with Circular Holes,

Abstract

The problem of the free vibrations of a rectangular elastic plate, either clamped or simply supported, with a central circular hole has been investigated by a least-squares point-matching method. The results are given in the form of curves relating the natural frequency of the plate to the hole size for a variety of Poisson's ratios. The curves do not behave monotonically, and the hole size at which the frequency is a minimum is seen to be dependent not only on the boundary conditions but also on Poisson's ratio. A two-fold mechanism of strain relief and mass reduction is proposed to explain these results as well as the results of previouw studies on the vibrations of plates with discontinuities. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0765361

Entities

People

  • R. F. Hegarty
  • T. Ariman

Organizations

  • University of Notre Dame

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Deep Oceans
  • Discontinuities
  • Engineering
  • Frequency
  • Frequency Shift
  • Mechanical Waves
  • Motion
  • Oceans
  • Resonant Frequency
  • Transient Response Analysis
  • Vibration
  • Waves

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.