Extensional Vibrations of Simply Supported Laminated Rectangular Plates.

Abstract

The extensional vibrations of simply supported rectangular plates are considered from the viewpoint of the recently derived effective stiffness velocity corrected Sun plate theory by passing solutions harmonic in both plate width and length through the differential equations of motion and boundary conditions such that the boundary conditions for simple supports are automatically satisfied. The re-sults are compared to extensional frequencies for a reduced effective modulus velocity corrected Sun plate theory. It is concluded that for extensional vibrations a higher order approximation in going to the plate theory is necessary to bring out the effects of microstructure which are present in the continuum theory. (Author-PL)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0768090

Entities

People

  • Charles R. Thomas

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Doppler Effect
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Shift
  • Mathematics
  • Microstructure
  • Motion
  • Physical Properties
  • Stiffness
  • Vibration

Fields of Study

  • Physics

Readers

  • Structural Dynamics.