Stability Analysis of Orthotropic Plates By The Form Factor Interpolation Method

Korobko, V. I.; Savin, Sergey; Ivlev, I.A.

doi:10.1016/j.proeng.2017.10.573

Cited by 4 publications

(1 citation statement)

References 7 publications

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“…Over the last years in structural mechanics, the isoperimetric method of two-dimensional problems solution develops rapidly. Its geometric ground is based on isoperimetric properties of so-called form factor [8][9][10][11][12][13][14][15][16][17]. According to the carried out investigations, geometrical rigidity of sections with arbitrary convex contour functionally depends on this factor.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Geometrical Torsion Rigidity of Triangular and Rectangular Sections Using Interpolation Method

Коробко

Savin

Balikhina

2018

Proceedings of the 4th International Conference on Industrial Engineering

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The article considers the problem on a pure torsion of elastic prismatic beam with arbitrary convex contour in the isoperimetric form. It is proved that for isometric sections with a convex contour, the normalized geometrical torsion rigidity depends on one parameter only-the form factor. The sections in the form of isosceles and rectangular triangles, rectangles, and parallelograms are considered. Graphical comparison of the given geometrical rigidity of the examined sections with the value reciprocal of the form factor displayed the real similarity of these graphs. Analysis of these graphs provides the conclusion that all the range of values of the normalized geometrical rigidity of parallelogram sections is limited from above with values i k for rectangular sections, and from below-for the rhombic sections. Applying the method of geometrical modeling rigidity of the sections by a section form, we suggest the interpolation method to determine the given geometrical rigidity of the sections by the form factor. The obtained results are otherwise satisfactory when performing engineering calculations.

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Section: Introductionmentioning

confidence: 99%

Estimation of Geometrical Torsion Rigidity of Triangular and Rectangular Sections Using Interpolation Method

Коробко

Savin

Balikhina

2018

Proceedings of the 4th International Conference on Industrial Engineering

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Torsional Rigidity of Elastic Rods of Polygonal Cross Section

Коробко

Lygina

Savin

2019

Lecture Notes in Mechanical Engineering

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The approximate method of determining the integral physical characteristics in some problems of technical theory of plates

2018

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The paper considers the dimensionless geometric characteristic R/r (R is the maximum radius of a circle inscribed in a given region, r is the minimum radius of a circle circumscribed around it), which is used as a geometric analogue of integral characteristics in problems of the technical theory of plates and theory of elasticity. By numerical experiment the authors showed that using this characteristic as the only argument made it possible to approximate with one elementary function all the solutions for short plates, which satisfied the condition (0.5 < R/r < 1) in problems of trans-verse bending, free oscillations and stability of plates.

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Stability Analysis of Orthotropic Plates By The Form Factor Interpolation Method

Cited by 4 publications

References 7 publications

Estimation of Geometrical Torsion Rigidity of Triangular and Rectangular Sections Using Interpolation Method

Estimation of Geometrical Torsion Rigidity of Triangular and Rectangular Sections Using Interpolation Method

Torsional Rigidity of Elastic Rods of Polygonal Cross Section

The approximate method of determining the integral physical characteristics in some problems of technical theory of plates

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