Some Bessel Function Identities Arising in Ice Mechanics Problems

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 f...

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Bibliographic Details
Main Author: Takagi,Shunsuke
Other Authors: COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH
Format: Text
Language:English
Published: 1979
Subjects:
Snow
Ice and Permafrost
Theoretical Mathematics
*BESSEL FUNCTIONS
DEFLECTION
PROBLEM SOLVING
ICE
BOUNDARY VALUE PROBLEMS
EXPONENTIAL FUNCTIONS
DISCRETE FOURIER TRANSFORMS
INTEGRAL TRANSFORMS
FLOATING BODIES
FLAT PLATE MODELS
IDENTITIES
Ice mechanics
PE61102A
AST24
WU005
Ice
permafrost
Online Access:http://www.dtic.mil/docs/citations/ADA078709
http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA078709
Description
Summary: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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