Calculation of Plane Bending Stability of Beams With Variable Stiffness

Карамышева, А А

doi:10.17213/0321-2653-2016-1-95-98

Cited by 2 publications

(1 citation statement)

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“…When designing rectangular beams in order to reduce material consumption, engineers strive to increase the ratio of cross-section height to width, which implies the need to check the structure for stability of a flat bending. A large number of works, including [1][2][3][4][5][6][7][8][9], are devoted to the calculation of prismatic beams on the stability of a flat form of deformation. However, in all these publications, ideal constructions without initial imperfections are considered.…”

Section: Introductionmentioning

confidence: 99%

Rectangular Cross Section Beams Calculation on the Stability of a Flat Bending Shape Taking into Account the Initial Imperfections

Zotov

Lapina

Чепурненко

et al. 2019

MSF

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The article presents the derivation of the resolving equation for the calculation of lateral buckling of rectangular beams. When deriving the basic equation, the initial imperfections of the beam are taken into account, which are specified in the form of the eccentricity of the applied load, the initial deflection in the plane of least stiffness and the initial twist angle. The influence of initial imperfections on the process of beam stability loss is investigated.

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Section: Introductionmentioning

confidence: 99%

Rectangular Cross Section Beams Calculation on the Stability of a Flat Bending Shape Taking into Account the Initial Imperfections

Zotov

Lapina

Чепурненко

et al. 2019

MSF

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Calculation of the Flat Bending Shape Stability of Rectangular Cross Section Beams With Regard to Creep

Zotov

Чепурненко

Yazyev

2019

Vestn. Dagest. gos. teh. univ., Teh. nauki

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Objectives. The article presents the conclusion of the resolving equation for calculating the stability of the flat form of deformation of prismatic beams, taking into account the rheological properties of the material.Method. The problem is reduced to a second-order differential equation for the twist angle, which is solved numerically by the finite difference method in combination with the Euler method.Result. The obtained differential equation allows one to take into account the presence of initial imperfections in the form of the initial deflection of the beam, the initial angle of twist, and also the eccentricity of the applied load. The solution of the test problem for a cantilever polymer beam under the action of a concentrated force is presented. The non-linear Maxwell-Gurevich equation is used as the creep law. The value of the long-term critical load is introduced and it is shown that with a load less than the long-term critical creep is limited. It has been established that, as with the squeezed rods, with a load less than the long-term critical, the growth rate of the displacements with time decays. When F = F_dl, the displacements grow at a constant speed, and when F> F_dl, the growth rate of displacements increases with time. The results obtained confirm the validity of the chosen method.Conclusion. A universal resolving equation is obtained for calculating the stability of a flat shape of bending of rectangular beams, suitable for arbitrary creep laws.

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Calculation of Plane Bending Stability of Beams With Variable Stiffness

Cited by 2 publications

References 0 publications

Rectangular Cross Section Beams Calculation on the Stability of a Flat Bending Shape Taking into Account the Initial Imperfections

Rectangular Cross Section Beams Calculation on the Stability of a Flat Bending Shape Taking into Account the Initial Imperfections

Calculation of the Flat Bending Shape Stability of Rectangular Cross Section Beams With Regard to Creep

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