Abstract
The problem of static analysis of a circular cylindrical shell located on the elastic base of the Winkler and reinforced by longitudinal ribs is considered. The stiffeners have a rectangular cross section. The external action is represented by forces evenly distributed along the longitudinal axis, acting on the ribs from the upper structure. It is assumed that at the ends of the shell there are flat vertical walls, which give the contour absolute rigidity in the transverse direction and do not interfere with the longitudinal movement of the shell points. The General moment theory of a circular cylindrical shell is used to solve the problem. A computer program has been developed to implement the proposed algorithm. With the help of the program, a number of examples of calculation are made In the given examples, the influence of such factors as the relative length and thickness, the slope angle of the solution shell, the relative stiffness of the onboard elements on the stress state of the shell is analyzed.
Highlights
We assume that the external action is represented by forces P uniformly distributed along the longitudinal axis acting on the edges from the upper structure shown in figure1 with a dotted line
The vertical displacement A is determined based on the equilibrium condition which makes it possible to obtain the expression below: A
After determining the integration constants and finding general solutions (6), the internals efforts are determined by the known formulas of the theory of cylindrical shells
Summary
We consider a circular cylindrical shell of length l, located on an elastic base and reinforced along the longitudinal edges of the ribs of rectangular cross-section (figure 1). We assume that the external action is represented by forces P uniformly distributed along the longitudinal axis acting on the edges from the upper structure shown in figure with a dotted line. Another assumption is that flat vertical walls are at the flanks of the shell, which render the shell’s outline infinitely stiff in the transverse direction and do not impede longitudinal displacement of the shell’s points
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