Stability analysis of orthotropic rectangular plates compressed all over the contour

Andrey, Victorovich Korobko; Savin, Sergey; Ivan, Andreevich Ivlev

doi:10.5937/jaes15-14603

Cited by 2 publications

(1 citation statement)

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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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