English
Русский 29-37 p.
Nonlinear transverse vibrations of composite rods pre-loaded with lagging arranged symmetrically on both sides of the axis of the composite rod under the action of a statically applied transverse load are investigated. The cases of attaching the lagging only to the ends of the composite rod, as well as when the laggings are continuously attached to the composite rod along its entire length, are considered. The results of the study of nonlinear transverse vibrations of composite rods under the action of a statically applied transverse load are presented. When conducting studies of transverse vibrations of composite rods, solutions of differential equations of vibration of prestressed through beams and stiffening cores of high-rise buildings are obtained. The obtained differential equations of vibration of composite rods allow us to determine the dynamic characteristics of prestressed through beams under various linear and boundary conditions. A method for composing differential equations of free and forced oscillations of prestressed through beams and stiffening cores of high-rise buildings and solving differential equations under various linear and nonlinear boundary conditions is developed.
Expressions are given for determining the longitudinal forces and torques at the ends of the rod at any location of the lagging from the axis and at any different stiffness of the lagging.
Expressions are given for determining the longitudinal forces and torques at the ends of the rod at any location of the lagging from the axis and at any different stiffness of the lagging.
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9. Kuleshov A.A., Solonenko V.A., Yashchuk A.A. Monitoring and visualization of the stress-strain state of the mooring structure in real time. Bulletin of Tomsk State University. Mathematics and Mechanics. 2015. 6 (38). P. 73 – 80. (rus.)
10. Zamaliev F.S., Zakirov M.A. Stress-strain state of steel-reinforced concrete slabs under prolonged loading. Engineering and construction journal. 2018. 7 (83). P. 12 – 23. (rus.)
11. Krakovsky M.B. Improving the reliability of reinforced concrete structures in calculations for several software complexes. 2016. 5 (268). P. 45 – 49. (rus.)
12. Rayser V.D. Analysis of the reliability of structures during the wear of load-bearing structures. 2013. 6 (251). P. 16-20. (rus.)
13. Snigireva V.A., Gorynin G.L. Nonlinear stress-strain state of pipe-concrete structures. Engineering and construction journal. 2018. 7 (83). P. 73 – 82. (rus.)
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15. Lapenko O.I., Shevchenko O.V., Masud N.N. Compression Work of Steel Reinforced Concrete Columns. International Journal of Engineering & Technology. 2018. 7 (3.2). P. 229 – 231.
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17. Monterrubio L.E., Ilanko S. Proof of convergence for a set of admissible functions for the Rayleigh-Ritz analysis of beams and plates and shells of rectangular plan form. Computers and Structures. 2015. 147. P. 236 – 243.
18. Romakina O.M. Steady-state transverse vibrations of a rectangular plate made of an orthotropic material. Proceedings of Saratov University. New series. Series: Mathematics. Mechanics. Computer science. 2010. 10 (1). P. 71 – 77. (rus.)
19. Sukhoterin M.V. Self-values of a rectangular cantilever plate. Construction mechanics and calculation of structures. 2014. 2. P. 24 – 26. (rus.)
20. Tyukalov Yu.Ya. Determination of free oscillation frequencies by the finite element method in stresses. Engineering and construction journal. 2016. 7 (67). P. 39 – 54. (rus.)
21. Mirsaidov M.M., Abdikarimov R.A., Vatin N.I., Zhgutov V M., Khodzhaev D.A., Normuminov B.A. Nonlinear parametric oscillations of a viscoelastic plate of variable thickness. Engineering and construction journal. 2018. 6 (82). P. 112 – 126. (rus.)
22. Akulenko L.D., Kumakshev S.A., Nesterov S.V. Numerical-analytical method for studying parametric oscillations. Applied Mathematics and Mechanics. 2015. 79 (2). P. 163 – 180. (rus.)
Balamirzoev A.G., Murtuzov M.M., Selimkhanov D.N., Dibirova Z.G., Abdullaev A.R. Nonlinear transverse vibrations of composite rods under the action of a statically applied transverse load. Construction Materials and Products. 2021. 4 (2). P. 29 – 37. https://doi.org/10.34031/2618-7183-2021-4-2-29-37