Nonlinear Free Vibrations of Thin, Circular Cylindrical Shells

Abstract

The report presents the results of a study of the influence of higher order and nonlinear effects on the free vibration behavior of thin, circular cylindrical shells. A recent solution utilizing strain-displacement relations is examined and criticized. A new solution is carried out which removes the basis for criticism and discloses the existence of a nonperiodic vibration behavior, a phenomenon heretofore unknown. Further, solutions are obtained using strain-displacement relations applied to the shell post-buckling problem. The effect of the improved strain-displacement relations in predicting the vibration behavior attendant to a modal shape possessing a small number of circumferential waves is assessed, and recommendations are made for directing future effort on the problem.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1970
Accession Number
AD0872813

Entities

People

  • Bruce G. Wrenn
  • Jean Mayers

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Army Aviation
  • Aspect Ratio
  • Coordinate Systems
  • Differential Equations
  • Energy Levels
  • Equations
  • Equations Of Motion
  • Euler Equations
  • Frequency
  • Geometry
  • Government Procurement
  • Governments
  • Kinetic Energy
  • Shape
  • Standards
  • Variational Principles
  • Waves

Readers

  • Structural Dynamics.
  • Systems Analysis and Design