TRANSACTIONS OF THE KRYLOV STATE RESEARCH CENTRE

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ISSN (print) 2542-2324 /(online) 2618-8244


Articles of The Transactions of KSRC








Stability of shells with broken generatrices. Part I. Conditions of bending and buckling without middle surface straining (geometric instability conditions). Approximate solution for general case.



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Year

 
2011

Issue

 
349

Volume

 
6

Pages

 
37-52

Caption

 
Stability of shells with broken generatrices. Part I. Conditions of bending and buckling without middle surface straining (geometric instability conditions). Approximate solution for general case.

Authors

 
V. Ryabov

Keywords

 
shells with broken generatrices, external break, internal brake, shell stability, buckling with middle surface straining, geometric instability.

Summary

 
The paper investigates stability of cylindrical and conical shells joined at some angle towards
each other.
The paper covers three theoretical problems.
1. It defines bending conditions for a compound shell with broken generatrix without middle surface straining. Basing on the article written by V. Vlasov, it provides general solution. For the cases of shells with one and two breaks it is brought to simple calculation formulas.
2. It shows that solution obtained in Problem 1 is strongly related to the buckling problem of a shell as a system of isolated rings, if the following conditions are met: J cos3 γ /(r3 L) = const; t cos γ / r = const, where γ – conicity angle of the shell part under investigation; J, t, L – frame inertia moment, spacing thickness and spacing length respectively.
3. It shows that there is an analogy between the stabilities of broken and «nearly cylindrical» shells with constant negative curvature.
Basing on the solutions obtained in Problems 1-3, the paper suggests an approximate solution (for general case) which allows assessing stability of axially symmetric shells with breaks.

Rubrics

 
Naval architecture

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