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On the Flexibility of a Sliding Vertical Support of a Flat Design

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Abstract

A flat body on hinged supports is considered. One of the supports is connected to the body by means of a sliding attachment. The flexibility of the support rods is modeled by a hinge with a helical spring of sufficient stiffness to prevent relative rotation. It is shown that the linearization of the equilibrium equations makes it impossible to estimate the equilibrium position. The equilibrium position is sought in the form of a series in terms of the reciprocal of the helical spring stiffness coefficient. It is shown that as the helical spring stiffness coefficient tends to infinity and the helical spring moment, which models the internal bending forces in the rods, tends to infinity. For the case of vertical equilibrium, an estimate is given of the tangential reaction in the support hinge, which occurs when additional loads are introduced and in the case of small oscillations. In all the cases considered, the reaction that occurs in the supports is much greater than the body’s weight.

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Funding

This work was supported by the Russian Science Foundation, project no. 22-21-00303.

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Authors and Affiliations

  1. Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia

    M. Z. Dosaev

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  1. M. Z. Dosaev
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Correspondence to M. Z. Dosaev.

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Translated by V. Selikhanovich

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Dosaev, M.Z. On the Flexibility of a Sliding Vertical Support of a Flat Design. Mech. Solids 58, 2563–2573 (2023). https://doi.org/10.3103/S0025654423070075

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