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Title: Some Bessel function identities arising in ice mechanics problems
Authors: Takagi, Shunsuke, 1919-
Keywords: Bessel functions
Fourier integrals
Ice mechanics
Ice physics
Winkler foundations
Mathematical models
Mathematical analysis
Elastic plates
Elastic shells
Floating ice
Publisher: Cold Regions Research and Engineering Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: CRREL report ; 79-27.
Description: CRREL Report
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.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:CRREL Report

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