Some Bessel Function Identities Arising in Ice Mechanics Problems,

Abstract

Some Bessel function identities found by solving problems of the deflection of a floating ice plate by two different methods are rigorously proved. The master formulas from which all the identities are derived are in a Fourier reciprocal relationship, connecting a Hankel function to an exponential function. Many new formulas can be derived from the master formulas. The analytical method presented here now opens the way to study a hitherto impossible type of problem--the deflection of floating elastic plates of various shapes and boundary conditions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA078709

Entities

People

  • Shunsuke Takagi

Organizations

  • Cold Regions Research and Engineering Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Bessel Functions
  • Boundaries
  • Cold Regions
  • Complex Variables
  • Contour Integrals
  • Contracts
  • Engineering
  • Engineers
  • Exponential Functions
  • Ice Mechanics
  • Identities
  • Integrals
  • Mechanics
  • New Jersey
  • New York
  • Regions
  • United States

Fields of Study

  • Mathematics

Readers

  • Educational Psychology
  • Fluid Dynamics.
  • Structural Dynamics.