Parameter optimization decomposition and synthesis algorithm for a bundle of rotation shells connected with a ring frame

2023;
: pp. 976–987
https://doi.org/10.23939/mmc2023.03.976
Received: April 15, 2023
Revised: August 29, 2023
Accepted: September 05, 2023

Mathematical Modeling and Computing, Vol. 10, No. 3, pp. 976–987 (2023)

1
Oles Honchar Dnipro National University; Yuzhnoye State Design Office
2
Oles Honchar Dnipro National University
3
Yuzhnoye State Design Office
4
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NASU; Lviv Polytechnic National University

The method of weight optimization of a shell structure consisting of a power ring frame connected to it on each side of non-homogeneous shells of rotation with variable wall thickness under the action of a spatially asymmetric load is presented. The construction decomposition algorithm is applied. The optimization of shells is carried out based on the necessary Pontryagin's optimality conditions with phase constraints. Finite-dimensional optimization methods are used to seek the optimal configuration of the ring frame. The synthesis of the construction is carried out by the method of successive approximations. Numerical optimization results are presented.

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