The Optimal Form of Shallow Shells of Revolution with a Small Flexible Stiffness

Leonid U. Stupishin; Sergey Emelyanov; Maksim U. Pereverzev; Maria L. Moshkevich

doi:10.4028/www.scientific.net/AMR.988.367

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 988The Optimal Form of Shallow Shells of Revolution...

The Optimal Form of Shallow Shells of Revolution with a Small Flexible Stiffness

Abstract:

An important aspect of the theory of optimal design of shells is a question technology of determination of optimal forms of shells with numerical methods, based on the variation definitions. The distribution of effort in sloping shell of revolution optimal form, uniformly loaded with despens intensity is analyzed. The mathematical model of shell optimal form is based on the maximum principle of L.S. Pontryagin. The solution of the objective is numerically made in MathCad. The relations of the distribution of the longitudinal forces and moments along the radius of the shell is shown.

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Periodical:

Advanced Materials Research (Volume 988)

Pages:

367-370

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.988.367

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Online since:

July 2014

Authors:

Leonid U. Stupishin, Sergey Emelyanov, Maksim U. Pereverzev, Maria L. Moshkevich

Keywords:

Critical Load, Maximum Principle of l.s. Pontryagin, Optimal Shape of a Shell, Shallow Shell of Revolution, Shell Variable Form

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References

[1] Stupishin L.U., Kobelev N.S., Pereverzev M.U. submitted to journal Izvestia of South-West state University,. Determining the optimum form of gently sloping shells of rotation based on the Pontryagin maximum principle.

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[2] L.S. Pontriagin: The mathematical theory of optimal processes (Science, Moscow, 1976).

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[3] V.V. Novojilov, K.F. Chernih, E.I. Mihailovskii: The linear theory of thin shells (Politehnika, L, 1991).

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