Email this article On Flexibility of a Sliding Vertical Support of a Flat Structure
- Authors: Dosaev M.Z.1
-
Affiliations:
- Institute of Mechanics of Lomonosov MSU
- Issue: Vol 87, No 4 (2023)
- Pages: 618-630
- Section: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/138882
- DOI: https://doi.org/10.31857/S0032823523040045
- EDN: https://elibrary.ru/WHZHGY
- ID: 138882
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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 slipping attachment. A 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 stiffness coefficient of the helical spring. It is shown that as the coefficient of stiffness of the helical spring tends to infinity, the moment of the helical spring, which models the internal bending forces in the rods, tends to infinity. For the case of vertical equilibrium, an estimate is given for a 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 weight of the body.
About the authors
M. Z. Dosaev
Institute of Mechanics of Lomonosov MSU
Author for correspondence.
Email: dosayev@imec.msu.ru
Russia, Moscow
References
- Liu Y.Q., Liang F., Au Francis T.K. Experimental study of durable low-friction concrete contacts for precast segmental columns with resettable sliding joints // Constr.&Building Mater., 2022, vol. 318, pp. 126192. doi: 10.1016/j.conbuildmat.2021.126192
- Jiang Yu.-F., Guo Z.-X., Basha S.H., Chai Z.-L. Sliding bed joint for seismic response control of ashlar stone masonry structures // Engng. Struct., 2021, vol. 244, pp. 112734. doi: 10.1016/j.engstruct.2021.112734
- Di Trapani F., Bolis V., Basone F., Cavaleri L., Preti M. Traditional vs. sliding-joint masonry infilled frames: Seismic reliability and EAL // Proc. Struct. Integrity, 2020, vol. 26, pp. 383–392. doi: 10.1016/j.prostr.2020.06.049
- Morandi P., Milanesi R.R., Magenes G. Innovative solution for seismic-resistant masonry infills with sliding joints: in-plane experimental performance // Engng. Struct., 2018, vol. 176, pp. 719–733. doi: 10.1016/j.engstruct.2018.09.018
- Min Q., Li N., Zhang Y., Lu Q., Liu X. A novel wind resistance sliding support with large sliding displacement and high tensile strength for metal roof system // Engng. Struct., 2021, vol. 243, pp. 112670. doi: 10.1016/j.engstruct.2021.112670
- Atashfaraz B., Taiyari F., Hayati Raad H., Formisano A. Efficiency investigation of hybrid sliding rocking columns as elevated reservoirs supporting systems // Soil Dyn.&Earthquake Engng., 2020, vol. 136, pp. 06222. doi: 10.1016/j.soildyn.2020.106222
- Zhao X., Xu Y.L. Finite element-based force identification of sliding support systems: Part I – Theory. // Finite Elements in Analysis and Design, 2006, vol. 42 (4), pp. 229–248. doi: 10.1016/j.finel.2005.06.004
- Xu Y.L., Zhao X. Finite element-based force identification of sliding support systems: Part II – Numerical investigation // Finite Elements in Analysis and Design, 2006, vol. 42 (4), pp. 249–282. doi: 10.1016/j.finel.2005.06.006
- Zhao J., Chen R., Wang Z., Pan Y. Sliding corner gusset connections for improved buckling-restrained braced steel frame seismic performance: Subassemblage tests // Engng. Struct., 2018, vol. 172, pp. 644–662. doi: 10.1016/j.engstruct.2018.06.031
- Zhao J., Li Y., Wang C., Chen R., Yan L., Gong C. Sliding corner gusset connections in concentrically braced frames using BRBs: Numerical analysis and practical design. // Engng. Struct., 2021, vol. 246, pp. 113055. doi: 10.1016/j.engstruct.2021.113055
- Dosaev M.Z., Samsonov V.A. Peculiarities of body balance on hinged supports and sliding closure // Mech. Solids, 2023. (in Press)
- Klimina L.A. Method for finding periodic trajectories of centrally symmetric dynamical systems on the plane // Diff. Equat., 2019, vol. 55, pp. 159–168. doi: 10.1134/S0012266119020022
- Selyutskiy Y.D. On dynamics of an aeroelastic system with two degrees of freedom // Appl. Math. Model., 2019, vol.67, pp. 449–455. doi: 10.1016/j.apm.2018.11.010
- Dosaev M.Z., Samsonov V.A. Singularities in dynamic systems involving elastic elements and dry friction // Mech. Solids, 2021, vol. 56, no. 8, pp. 1473–1481.
- Trush L.I., Lomunov A.K. Calculation of Elements of Stone Structures of a Multi-Storey Industrial Building. Nizhny Novgorod: NNGASU, 2017. 59 p. (in Russian)
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