EQUATIONS OF THE CYCLICALLY SYMMETRICAL HEAT-STRESSED STATE OF SHELLS OF REVOLUTION OF VARIABLE RIGIDITY,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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The author considers the strain of closed elastic shells of revolution with rigidity varying along the meridian under the action of a surface load and nonuniform heating, the shells being assumed to be cyclically symmetrical. On the basis of the linear theory for the kth harmonic k or 2, the differential equations of the problem are proposed in the form of a normal eighth-order system of the kind dyds Ay f, where ys is a vector containing four static and four strain resolving functions fs is a vector, the eight components of which depend on the load and the temperature field As is a matrix of order 8 x 8, s is the meridional coordinate. Expressions are given for the elements of A and the components of f. The components of the displacements are presented in algebraic form in terms of the strain functions occurring in y, and it is shown how the kinematic boundary conditions may be expressed in terms of the latter.