TRANSITION SOLUTIONS FOR AXISYMMETRIC SHELL VIBRATIONS.

Abstract

The report describes an investigation of the solutions of a sixth-order linear, ordinary differential equation system near a transition point in their asymptotic representations. The system is the one which describes the small, axisymmetric vibrations of an elastic thin shell. Representations valid in the transition region are found for all six solutions, connection formulas are stated, and the possibility of uniform asymptotic approximations is discussed briefly. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1965
Accession Number
AD0623638

Entities

People

  • Edward W. Ross Jr.

Organizations

  • United States Army Research Laboratory

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Differential Equations
  • Equations
  • Mathematics
  • Transitions
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.