Reduction of three-dimensional models of elastic thin-walled structures
DOI:
https://doi.org/10.52340/atsu.2024.23.01.21Keywords:
elastic thin-walled structure, process of reduction, refined theories, unimprovable estimates, experiments of Chladni, Gödel’s incompleteness theoremAbstract
Through the reduction processes, the multitude of „specified theories“ dependent on the continuous parameters and hierarchical models is constructed, which in a certain sense is a modification of the methods of Vekua and Tvalchrelidze. The question of the completeness of the models built according to Gödel is studied, and it is shown that the class of specified theories is an incomplete system, while the hierarchical models (according to approximation and convergence) represent a complete system according to Hilbert-Gödel.
References
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