Vibrations in engineering and technology

Savielov Dmitry − Associate Professor of the Department "Mechanical engineering» of Kremenchuk Mykhailo Ostohradskyi National University (39600, 20, Pershotravneva Street, Kremenchuk, dvsavelov@gmail.com )

For the theoretical definition of the law of motion and operating modes of the vibration plate of the surface vibration working body with polymer concrete, a study of the dynamic system "vibration plate - polymer concrete" was carried out. In this dynamic system, compacted polymer concrete is presented in the form of a system with distributed parameters, which takes into account the action of elastic and dissipative resistance forces acting on the part of polymer concrete when it is deformed into a form on a rigid foundation. According to the accepted rheological model of polymer concrete for conditions of uniaxial stress state, a partial derivative relationship is proposed between the stress and deformation of polymer concrete, the nature of which depends on the dynamic modulus of elastic deformation, the dynamic modulus of elastic deformation of Maxwell and the coefficient of dynamic viscosity.

A wave equation of vibrations has been compiled, which describes the propagation of elastic-viscous deformation waves in polymer concrete, which is deformed by a surface vibrating working body, the solutions of which made it possible to determine: the regularity of propagation of elastic-viscous deformation waves in compacted polymer concrete, as well as theoretical expressions for the numerical determination of the reduced coefficients stiffness and dissipative resistance of polymer concrete, added mass; the law of motion and the amplitude of vibrations of the vibrating plate, as well as the laws of motion of the surface layer of polymer concrete.

The obtained theoretical dependences make it possible to reasonably determine the rational parameters of the vibrating working body and the main operating modes of the vibrating plate, depending on the found physical and mechanical characteristics of the polymer concrete compacted by vibration. The results obtained can be further used to carry out theoretical studies on the analytical determination of the nature of the change in stresses along the height of the compacted layer of polymer concrete, as well as in the analysis and synthesis of the obtained vibro-shock mode of operation of the vibrating plate.

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5. Maslov A.H., Savelov D.V.(2020). Teoreticheskoe opredelenie zakona dvizheniya podvizhnoj ramy vibroploshchadki s polimernym betonom pri ego uplotnenii [Theoretical definition of the law of motion for mobile frame of a vibrating platform with polymer concrete when compacting it]. Transactions of Kremenchuk Mykhailo Ostrohradskyi National University. Kremenchug: KRNU, Issue 4/2020 (123). – pp. 84–90 [in Ukraine] https://doi.org/10.30929/1995-0519.2020.4.84-90

6. Maslov A.H., Savelov D.V. (2020). Teoretichnі doslіdzhennya napruzheno-deformovanogo stanu ushchіl'nyuvanogo seredovishcha dinamіchnoї sistemi «vіbromajdanchik – polіmernij beton» [Theoretical studies of the strain-deformed state of the compacted medium of the dynamic system “vibrating platform-polymer concrete”]. Transactions of Kremenchuk Mykhailo Ostrohradskyi National University. Kremenchug: KRNU, Issue 1/2021 (126). – pp. 92–97 [in Ukraine] https://doi.org/10.30929/1995-0519.2021.1.92-97

7. Maslov A.H., Savelov D.V. Rheological characteristics of polymer concrete. Collection of Papers for Materials of the VII International Science and Technology Conference "Current trends in the development of machinery and transport" 11-13 November, 2020, Kremenchuk. P. 167-169.

8. Maslov A.H., Savelov D.V. (2019). Reologicheskaya model' vibriruyushchego polimernogo betona [Rheological model of vibrating polymer concrete]. Transactions of Kremenchuk Mykhailo Ostrohradskyi National University, KRNU, Issue 5/2019 (118). – pp. 135 – 141 [in Ukraine] https://doi.org/10.30929/1995-0519.2019.5.135-141

9. Maslov O., Savielov D., Salenko Y., Javadova M. (2022) Theoretical Study of the Dynamic System «Vibration Platform − Polymer Concrete» Stress–Strain State. In: Onyshchenko V., Mammadova G., Sivitska S., Gasimov A. (eds) Proceedings of the 3rd International Conference on Building Innovations. ICBI 2020. Lecture Notes in Civil Engineering, vol 181. Springer, Cham. pp 191-201. https://doi.org/10.1007/978-3-030-85043-2_19

10. Savielov D.V. (2019). Razrabotka teorii vzaimodejstviya poverhnostnogo vibracionnogo rabochego organa s polimernym betonom pri ego model'nom predstavlenii [Development of interaction surface selective working body with polymer concrete during its modeling theory]. Transactions of Kremenchuk Mykhailo Ostrohradskyi National University, KRNU, Issue 9/2019 (119). – pp. 126–132 [in Ukraine] https://doi.org/10.30929/1995-0519.2019.6.126-132

11. Maslov A.H., Savelov D.V. (2021). Teoretichne viznachennya zakonomіrnostі zmіni napruzhen', yakі vinikayut' u polіmernomu betonі pri jogo ushchіl'nennі vіbracіjnoyu plitoyu [Theoretical definition of the law of stress changes that occur in polymer concrete when it is compacted by a vibrating plate] Transactions of Kremenchuk Mykhailo Ostrohradskyi National University, KRNU, Issue 4/2021 (129). – pp. 135–141 [in Ukraine] https://doi.org/10.30929/1995-0519.2021.4.135-141

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13. Maslov A.H., Savelov D.V. (2018). Razrabotka strukturnogo sostava polimernogo betona [Development of the structural composition of polymer concrete]. Transactions of Kremenchuk Mykhailo Ostrohradskyi National University, KRNU, Issue 4/2018 (111). – pp. 94–99 [in Ukraine] https://doi.org/10.30929/1995-0519.2018.4.94-99