Study of Free Vibration of Ladder Frames Reinforced with Plate

Aryassov, Gennadi; Petritshenko, Andres

doi:10.4028/www.scientific.net/ssp.147-149.368

Cited by 3 publications

(1 citation statement)

References 1 publication

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“…The received results can be applied to the solution of boundary problems of various classes, for example problem of eigenvalues of orthotropic plates (Aryassov & Petritshenko, 2009). The last is especially urgent in vibrodiagnostic of structures, designs, machines, equipment, industrial and civil buildings and so on (Gere & Timoshenko, 1997).…”

Section: Discussionmentioning

confidence: 99%

Development of the Improved Method of Grids

Aryassov¹,

Barashkova²,

Gornostajev³

et al. 2011

DAAAM Proceedings

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The purpose of this paper is to develop and generalize the improved method of grids (method of finite differences) described in (Kollats, 1969) to calculation a partial derivative. The method of uncertain coefficients is applied to the two dimensional boundary value problems. For obtaining of interpolation polynomials, the matrixes are used. The essential simplification of the calculation formulae is received. The numerical results are presented.

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Section: Discussionmentioning

confidence: 99%

Development of the Improved Method of Grids

Aryassov¹,

Barashkova²,

Gornostajev³

et al. 2011

DAAAM Proceedings

Self Cite

View full text Add to dashboard Cite

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Application of the Improved Method of Grids with the Estimation of Accuracy

Gornostajev

Aryassov

Barashkova

et al. 2014

Procedia Engineering

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Calculation Method for Plates with Discrete Variable Thickness Under Uniform Loading or Hydrostatic Pressure

Aryassov

Gornostajev

Penkov

2018

International Journal of Applied Mechanics and Engineering

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The article proposes a new analytical method for the calculation of plates with constant and variable rigidity parameters. This method renders it possible to decrease the weight of the plates working under hydrostatic pressure by using variable thicknesses. Firs, a short overview of existing calculation methods and their results are compared. It is shown that all existing methods depend on boundary conditions. Then is given the theory of the proposed calculation method is described and calculations for plates with constant and variable thickness worked under uniformly loaded forces and hydrostatic pressure are made. The results are compared to the FEM calculations and experimental results obtained by a tensile test machine and special equipment. Calculation results obtained by the proposed analytical method and FEM results are very close. Deviations are not more than 11%. Deviations between theoretical calculations and experimental results depend on loading type and design of the test specimens but maximum values are not more than 17%. The proposed calculation method does not depend on the boundary conditions and can be used for plate calculations. Especially for plates with difficult design and complex loading.

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Study of Free Vibration of Ladder Frames Reinforced with Plate

Cited by 3 publications

References 1 publication

Development of the Improved Method of Grids

Development of the Improved Method of Grids

Application of the Improved Method of Grids with the Estimation of Accuracy

Calculation Method for Plates with Discrete Variable Thickness Under Uniform Loading or Hydrostatic Pressure

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