Modal Method for Free Vibration of Finite Oval Cylindrical Shell with Free Ends.

Abstract

The modal method developed by the authors applicable to the dynamic analysis of supported noncircular cylindrical shells is extended in the present work to deal with (but not restricted to) the free vibration problem of unsupported noncircular cylinders. The required modification includes the enforcement of the edge conditions at the free ends of a finite cylindrical shell which are unsatisfied by the modal functions owing to the presence of the variable curvature terms. Such conditions are posed as additional constraints by way of the well-known formalism of Lagrange multipliers. In addition, it was found that the inclusion of the lowest modes, commonly approximated by the Rayleigh-Love modes, is essential to the completeness of the eigen-function representation. The validity of the proposed procedure of analysis is illustrated by its application to the solution of the free vibration problem of oval cylindrical shells with free ends. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1976
Accession Number
ADA032907

Entities

People

  • Joseph Kempner
  • Y. N. Chen

Tags

Communities of Interest

  • Air Platforms
  • Counter IED
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Couplings
  • Curvature
  • Dynamic Response
  • Eccentricity
  • Equations
  • Equations Of Motion
  • Frequency
  • Modal Analysis
  • New York
  • Resonant Frequency
  • Scientific Research
  • Shape
  • Symmetry
  • Vibration
  • Waves

Readers

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