STRESS STATE OF A ROTATING CONICAL SHELL WITH A THICK WALL WHICH CHANGES LINEARLY.
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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The stress state of a conical shell rotating relative to its axes and the thickness of its wall decreases from a peak linearly, and the angle between the generatrix and the axis close to a straight line is discussed. Such a shell finds application in the wheels of turbo compressors, etc. The study was carried out, according to the moment theory, on symmetrically loaded thin shells of rotation. However, the shift from the system of two equations to one differential equation of the second order, suggested in this work, differs from the corresponding shift of Meysner the latter attained not the proper selection of the fundamental variables, but the use of the general properties of hypergeometric equations. With the aid of the relationships between hypergeometric functions the calculation of these particular solutions were completed. The intensification of the convergence of infinite series entering into the solutions and the decrease of the number of series needed to be summed were attained simultaneously. The expressions for the solutions were compiled in simple form, containing coefficients which depend on the relative meridional coordinate and geometric parameter - the criterion of a similar stress state of a conical shell with a linear change of thickness. This made the tabulation of the coefficients easier. Author
- Structural Engineering and Building Technology