WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC, LAYERED CYLINDERS

Abstract

The propagation of infinite trains of symmetric harmonic waves traveling in infinitely long, right circular cylindrical shells is investigated on the basis of the three-dimensional theory of elasticity. The shells are assumed made of three concentric, transversely isotropic cylinders each of different materials bonded perfectly at their interfaces. The frequency equation is established by representing the displacement field in each cylinder in terms of potential functions and satisfying the Navier equations of motion and the boundary and interface conditions of the cylinder The frequency equation has been programmed for numerical evaluation on an IBM 7044/7094 DCS computer, and the influence of the mechanical properties of the layers on the frequencies of the first few modes is investigated.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1970
Accession Number
AD0707862

Entities

People

  • Anthony E. Armenakas
  • Henry E. Keck

Organizations

  • New York University Tandon School of Engineering

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Applied Mechanics
  • Bessel Functions
  • Composite Materials
  • Elastic Properties
  • Engineering
  • Epoxy Composites
  • Equations
  • Equations Of Motion
  • Fiber Reinforced Composites
  • Frequency
  • Materials
  • Mechanical Properties
  • Mechanics
  • Spectra
  • Stresses
  • Two Dimensional
  • Wave Propagation

Fields of Study

  • Physics

Readers

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