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Stresses in certain thin elastic plates rotating about normal axes
Author(s) -
Gupta A. M. Sen
Publication year - 1957
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19570370104
Subject(s) - curvilinear coordinates , geometry , mathematical analysis , boundary (topology) , mathematics , classical mechanics , physics
Abstract In this paper a direct method for solving problems of certain thin elastic plates having curvilinear boundaries and rotating steadily about normal axes is developed. To illustrate the method the problem of a rotating thin plate having a regular curvilinear polygonal boundary, in general, is solved. Discussions of the corresponding problems of thin plates with some simpler types of boundaries are given in detail.