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DIFFERENTIAL EQUATIONS OF ELASTIC EQUILIBRIUM OF SHELLS OF ROTATION WITH MERIDIONAL RIBS AT POWER AND TEMPERATURE LOADS,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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Discussed is a thin elastic shell of rotation with meridional ribs, which can be considered thin rods. All ribs are identical and the distance between them are uniform. Thickness of the shell and rigidity of the ribs may change along the meridian. The shell is subjected to the affect of power load and nonuniform heating, which possess cyclic symmetry, corresponding to the cyclicity of rib disposition. It is assumed, that the rib is connected with the shell along the line of intersection of the center of the surface with perpendicular to it plane, in which the axis of the rib lies. By dividing into trigonometric series the given loads and reactions forces affecting the shell its reactions with the ribs and expressions of the latter through displacements of the conjugation line of the shell with the ribs was obtained an infinite system of conventional differential equations relative to shell displacements. Limiting the number of members of the decomposition, from the mentioned system can be obtained a final system of equations, which describes approximately the discussed problem and it has a fully definite mechanical sense. Author
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