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Aerospace Instrument-Making

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ANALYTICAL STUDY OF CARRYING CAPACITY OF NON-UNIFORM CYLINDRICAL SHELL TYPE ROOM AIRFRAME WITH CUTOUTS
V.S. Safronov

The paper presents a mathematical model and the results of the theoretical study of bearing capacity of longitudinally-stiffened cylindrical shell-type housing compartment of the aircraft with a cut in longitudinal compression and external pressure. Resulting in the dependencies for critical loads are analytical. The advantage of the proposed approach to determine critical loads longitudinally stiffened cylindrical shell with a hole is obtained analytical solutions. Analytical solutions as opposed to numerical methods for solving allow even the initial stages of the design of structures to judge the degree of influence of a parameter on the final result by the explicit expression parameters influence in analytic representation. The choice of the method for solving the problem of the method Tymoshenko is quite justified. It is known that in cases of calculation of plates and shells, when exactly to solve the problem is difficult, particular attention should be paid method of Tymoshenko. The more complex the task, the more benefits it gives to use. In
addition, Tymoshenko has an advantage of the method consists in the fact that it does not require a prerequisite – the exact method of calculation of the critical parameters in the solution of differential equations curved equilibrium. The essence of this requirement – the need to satisfy the given boundary geometry and force boundary conditions. When used to study the method of Tymoshenko enough to approximate the function satisfies the geometric boundary conditions, as power conditions are satisfied automatically. Finally, transcendence rather cumbersome
equation (solved by numerical methods), which results in the integration of differential equations of equilibrium is not always possible to express the desired critical parameters explicitly.
Key words: stiffened cylindrical shell method Tymoshenko, cutout, critical load bearing capacity.

Contacts: E-mail: v.s.safronov@mail.ru

Pp. 22-32.

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