New Method of Analyzing Vibration of Cracked Cylindrical Shells.

Abstract

The method of Fourier transformation of functions with lines of discontinuity and with built-in point singularities, is applied to analysis of vibration of cracked rectangular plates and of cracked cylindrical shells of rectangular planform. Application of the above method in conjunction with Green-Gauss theorem leads to an infinite system of linear algebraic equations. Its characteristic determinant when equated to zero provides with the frequency equation. Numerical examples include a plate with a parallel crack, a plate with a diagonal crack and a shell cracked at the apex. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 26, 1983
Accession Number
ADA136637

Entities

People

  • R. Solecki

Organizations

  • University of Connecticut

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Applied Mechanics
  • Cracks
  • Curvature
  • Differential Equations
  • Discontinuities
  • Drug Abuse
  • Fourier Series
  • Fourier Transformation
  • Geometry
  • Integral Equations
  • Integrals
  • Linear Algebraic Equations
  • Mechanics
  • Resonant Frequency
  • Square Roots
  • Stress Intensity Factors
  • Three Dimensional

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Linear Algebra
  • Materials Science (Mechanical Engineering).