INFLUENCE OF TRANSVERSE SHEAR AND EDGE CONDITION ON NONLINEAR VIBRATION AND DYNAMIC BUCKLING OF HOMOGENEOUS AND SANDWICH PLATES,

Abstract

In a previous paper the variational equation of motion was applied to the nonlinear analysis of dynamic buckling of simply supported homogeneous (Timoshenko beam) and sandwich plates executing plane-strain motion. To investigate the influence of the edge condition and the interaction between the edge condition and transverse shear effect, the analysis is further extended in this paper to such plates with clamped edges. Results show that the transverse shear effect is much greater for sandwich than for homogeneous plates. They further show that the shear effect is always greater for the clamped than for the simply supported case and is in fact not entirely negligible even for a homogeneous plate if it is clamped. The same conclusions apply to nonlinear vibrations of such plates, which are also investigated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1966
Accession Number
AD0635025

Entities

People

  • Jai-lue Lai
  • Yi-yuan Yu

Organizations

  • New York University Tandon School of Engineering

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Buckling
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Analysis
  • Timoshenko Beam
  • Transverse
  • Variational Equations
  • Vibration

Fields of Study

  • Physics

Readers

  • Structural Dynamics.