Analysis of Thin Walled Wavy Shell of Monge Type Surface with Parabola and Sinusoid Curves by Variational-Difference Method

Иванов, В. Н.; Rynkovskaya, Marina

doi:10.1051/matecconf/20179512007

Cited by 4 publications

(1 citation statement)

References 12 publications

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“…The variational-difference method [15][16][17], also known as finite-difference energy method (FDEM) [15; 18-20], also belongs to the numerical calculation methods [21]. The VDM allows to consider the geometric parameters of the middle surface of shells for a more accurate determination of the SSS of the thin-shell structures.…”

Section: Introductionmentioning

confidence: 99%

Comparative analysis of the stress state of an equal slope shell by analytical and numerical methods

Aleshina

Иванов

Cajamarca-Zuniga

2022

Struct. Mech. of Eng. Const. and Build

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Works on the study of the stress-strain state of the shell of an equal slope with an ellipse at the base have not been widely performed. The present paper is a part of a series of articles on the analysis of the geometry and stress state of torses of an equal slope with a directrix ellipse by various methods under different loads and support conditions. The derivation of the differential equations of equilibrium of the momentless theory of shells for determining internal forces in the torse with a directrix ellipse under the action of internal pressure is presented. The analytical results are compared with results obtained by the finite element method (FEM) and the variational difference method (VDM). The advantages and disadvantages of three calculation methods are determined, and it is established that VDM results are more accurate compared to FEM, but FEM-based software is a more powerful tool to perform the structural analysis.

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Section: Introductionmentioning

confidence: 99%