On the numerical solution to a non-classical problem of bending and stability for an orthotropic beam of variable thickness | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 73. DOI: 10.17223/19988621/73/10

On the numerical solution to a non-classical problem of bending and stability for an orthotropic beam of variable thickness

The mathematical model of the problem of bending of an elastically clamped beam is constructed on the basis of the refined theory of orthotropic plates of variable thickness. To solve the problem in the case of simultaneous action of its own weight and compressive axial forces, a system of differential equations with variable coefficients is obtained. The effects of transverse shear and the effect of reducing compressive force of the support are also taken into account. Passing on to dimensionless quantities, the specific problem for a beam of linearly varying thickness is solved by the collocation method. The stability of the beam is discussed. The critical values of forces are obtained by varying the axial compressive force. Results are presented in both tabular and graphical styles. Based on the results obtained, appropriate conclusions are drawn.

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Keywords

elastically clamped support, bending, transverse shear, stability

Authors

Name	Organization	E-mail
Stepanyan Seyran Pa.	Yerevan State University	seyran.stepanyan@ysu.am

Всего: 1

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