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ON SUFFICIENT CONDITIONS FOR OPTIMALITY IN THE WEIGHT MINIMIZATION PROBLEM FOR A SHELL OF REVOLUTION AT A GIVEN VIBRATION FREQUENCY
- Authors: Arabyan M.O1
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Affiliations:
- Yerevan State University
- Issue: Vol 61, No 8 (2025)
- Pages: 1071–1081
- Section: CONTROL THEORY
- URL: https://journals.rcsi.science/0374-0641/article/view/306927
- DOI: https://doi.org/10.31857/S0374064125080062
- EDN: https://elibrary.ru/ECIFHF
- ID: 306927
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Abstract
We consider shallow elastic shells with a given circular boundary and seek an axisymmetric shell shape minimizing the weight at a given fundamental frequency of shell vibrations. Using the obtained formula for the gradients of the components of the eigenfunction corresponding to the minimum eigenvalue, the second Frechet differentiability of the frequency functional is established. It is proved that when the necessary conditions are met, the sufficient conditions are also realized.
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