Optimization Option for an Elliptical Shell of the Variable Thickness

Abstract

The paper considers a problem of optimization of the revolving elliptical shell of the variable thickness loaded with external pressure taking into account the design and technological limitations. It presents a solution option based on combination of the well-known numerical methods including an algorithm for finding the local minimum of a certain function and the finite element method that determines this function by the specified criteria. The presented approach is applicable to solving this problem, since it is used for a wide range of practical problems in design optimization, when it is impossible to obtain analytical expressions convenient for the design. In this case, no restrictions are assumed in implementing the algorithm for finding the function minimum, the finite element method, and the software that connects them. A comparative analysis of the obtained results is performed depending on the initial position in space of the parameters and settings of the presented algorithm. Two options are considered as the initial parameters. In the first, the pole thickness obtained from the stability conditions is applied as the initial position in the parameter space. In the second, the maximum thickness obtained from the strength condition for the equivalent stresses is used. The paper shows that using the equivalent stress and critical load constraints as the first approximations separately from each other leads to similar results

Please cite this article in English as:

Bondarev I.D., Fedorov L.V. Optimization option for an elliptical shell of the variable thickness. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 2025, no. 2 (153), pp. 20--31 (in Russ.). EDN: NUAOWM

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