Buckling of Cylindrical Panels by a Ritz Scheme

Yshii, Lucas Nobumichi; Santana, Rafael Christovão; Monteiro, Francisco Alex Correia; Neto, Eliseu Lucena

doi:10.20906/cps/cilamce2017-0613

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2022

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“…• for strength and buckling problems under static loading, the Ritz method [9,13,15,16,19,20]; the best parameter continuation method [8]; and the Euler method for solving the initial problem;…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling in Shell Structure Analysis Tasks

2022

IJEM

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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.

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Section: Introductionmentioning

confidence: 99%

Mathematical Modeling in Shell Structure Analysis Tasks

2022

IJEM

View full text Add to dashboard Cite

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Buckling of Cylindrical Panels by a Ritz Scheme

Cited by 1 publication

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Mathematical Modeling in Shell Structure Analysis Tasks

Mathematical Modeling in Shell Structure Analysis Tasks

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