Transverse Vibrations of Hollow Thin-Walled Cylindrical Beams

Abstract

The variation principle, differential equations, and boundary conditions considered appropriate to the analysis of transverse vibrations of hollow thin-walled cylindrical beams are shown. General solutions for the modes and frequencies of cantilever and free-free cylindrical beams of arbitrary cross section but of uniform thickness are given. The combined influence of the secondary effects of transverse shear deformation shear lag, and longitudinal inertia is shown in the form of curves for cylinders of rectangular cross section and uniform thickness. The contribution of each of the secondary effects to the total reduction in the actual frequency is also indicated

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1953
Accession Number
ADA278518

Entities

People

  • Bernard Budiansky
  • Edwin T. Kruszewski

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Air Force
  • Boundaries
  • Box Beams
  • Calculus Of Variations
  • Cantilever Beams
  • Center Of Gravity
  • Differential Equations
  • Equations
  • Fourier Series
  • Frequency
  • Infinite Series
  • Men
  • Resonant Frequency
  • United States
  • Variational Principles
  • Vibration

Fields of Study

  • Physics

Readers

  • Structural Dynamics.