Numerical Analysis of Nonstationary Vibrations of Discretely Reinforced Multilayer Shells of Different Geometry

Meish, V. F.; Meish, Yu. A.; Арнаута, Н. В.

doi:10.1007/s10778-019-00962-2

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Equation Of Oscillations1

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2020

2021

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Cited by 16 publications

(2 citation statements)

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“…The oscillation equations (10) and (11) are complemented by the corresponding natural boundary and initial conditions.…”

Section: Equation Of Oscillationsmentioning

confidence: 99%

See 1 more Smart Citation

Influence of reinforcing ribs on the deformed state of ellipsoidal shells under distributed load

Майбородіна

Gerasymenko

Kovalov

2021

Preprint

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This paper presents the problem about non-stationary oscillations of reinforced ellipsoidal shells, taking into account the discrete location of the ribs. Problem bases on a geometrically nonlinear variant of the Tymoshenko theory for shells and rods. A numerical method for solving problems of this class has been developed and substantiated. This article focuses on the location of the reinforcing ribs. On the basis of the developed numerical method the deformed state of discretely supported ellipsoidal shells for internal, external and internal-external placement of ribs is investigated. Boundary conditions for rigidly clamped edges of the shell were studied.

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“…The oscillation equations (10) and (11) are complemented by the corresponding natural boundary and initial conditions.…”

Section: Equation Of Oscillationsmentioning

confidence: 99%

“…Operating of integrating equations (10), using an explicit approximation in the time coordinate, we obtain the following difference equations in a smooth region of an ellipsoidal shell:…”

Section: Numerical Algorithmmentioning

confidence: 99%