Borshevetskiy S.A. Application of a new method for determining the location of additional supports for the Kirchhoff-Love cylindrical shell

Аuthors

Borshevetskiy S. A.

PJSC Yakovlev , 68, Leningradskiy prospect, Moscow, 125315, Russia

e-mail: wrdeww@bk.ru

Abstract

In early works, a new method was developed for the analytical determination of the location of a large number of concentrated hinged additional supports, based on a given condition of structural rigidity. The successful testing of the technique for rectangular plates using two motion models: Kirchhoff and Timoshenko, as well as the analytical form of solving the problem allowed us to continue the research in this direction.
The next step was to check the universal applicability of the new technique for curved shells of the Kirchhoff-Love model. As an object of research, a thin cylindrical shell is considered, pivotally supported along the edges, in an arbitrary place of which an arbitrary load acts. Additional ones are placed over the area of the cylinder in such a way that, under the action of an arbitrary load, the maximum deflection does not exceed a predetermined value. With regard to the thin Kirchhoff-Love shell, the maximum deflection should not exceed half the thickness.
The paper considers concentrated static and harmonic loads. The essence of the methodology and the approach to solving the problem remain the same in relation to the cylindrical shell.
As a result of calculations, the technique shows itself perfectly for curved shells: boundary conditions are met along the edges of the shell, in additional supports, and the condition of the joint (the unfolding of the shell into the plate) is also observed. Also, the resulting design of a single segment satisfies the established condition of rigidity and there is an additional margin of rigidity.

Keywords:

Kirchhoff-Love shell, cylindrical shell, structural rigidity, hinge support, plate, influence function

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