Original scientific paper
https://doi.org/10.31534/engmod.2022.1.ri.03m
Mathematical Modeling in Shell Structure Analysis Tasks
Alexey Semenov
orcid.org/0000-0001-9490-7364
; Department of Information Technologies, Saint Petersburg State University of Architecture and Civil Engineering, Saint Petersburg, RUSSIAN FEDERATION
Abstract
Studying shell structures while accounting for all necessary factors is a significantly nonlinear problem that requires serious mathematical tools and sufficient computing capacities. We propose an approach to solving such problems based on the following numerical methods. We propose the use of the Ritz method, the best parameter continuation method, and the Euler method under static loading. Under dynamic loading, the Kantorovich and the Rosenbrock methods are used. Software implementation was carried out using the Maple analytical software package. This paper also provides examples of simulating the deformation process in shell structures.
Keywords
computer simulation; shell structures; buckling; Ritz method; method of L.V. Kantorovich
Hrčak ID:
272659
URI
Publication date:
3.2.2022.
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