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TsAGI Science Journal

ISSN Imprimir: 1948-2590
ISSN On-line: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.v44.i2.80
pages 291-303

SOME ANALYTICAL MODELS OF THE PLATE BENDING THEORY

Julian Fedotovich Yaremchuk
"TUPOLEV" (PJSC), Academician Tupolev Embankment 17, Moscow, 105005, Russian Federation

RESUMO

Three versions of equilibrium equations of a plate, which are alternative to the well-known biharmonic equation for deflection function ω(x; y), have been derived on the assumption of the bending theory of a thin homogeneous plate at small deflections. These new equilibrium equations are given for moments Mx, My, and Mxy in which the integrability conditions of deflection are fulfilled. The correctness of the proposed equations is confirmed by two calculation examples of a rectangular simply supported plate under a uniform load and a load that can be represented by a double trigonometric series.


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