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https://hdl.handle.net/11681/9089| 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 Ice 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. |
| URI: | http://hdl.handle.net/11681/9089 |
| Appears in Collections: | CRREL Report |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| CR-79-27.pdf | 2.06 MB | Adobe PDF |  View/Open |