Dynamic behavior and stability of a discretely supported plate with a heat-proof coating under the action of an arbitrarily directed moving load

Document Type : Research Article

Authors

1 Department of Resistance of Materials Dynamics and Strength of Machines, Moscow Aviation Institute (National Research University), Moscow, Russia

2 Department of Advanced Materials and Technologies for Aerospace Applications, Moscow Aviation Institute (National Research University), Moscow, Russia

3 Department of Research №9, Moscow Aviation Institute (National Research University), Moscow, Russia

Abstract

The problem of dynamic deformation of a thin plate lying on an elastic base and discretely supported by a system of stiffening ribs under the action of an arbitrarily directed moving load is approximated. The load is considered as an infinite uniformly distributed normal force, the front of which moves with a constant velocity at an arbitrary angle to the longitudinal axis of the plate. The elasticity of the foundation is considered within the Winkler hypothesis, and the discreteness of the fin arrangement is specified using generalized functions. There are two variants of solving the problem: quasi-static and dynamic. In the first one, the curved surface of the plate depends only on its longitudinal coordinates, while in the second one, it also depends on time. When using the dynamic solution, in addition to the deformed state of the ribbed plate, the frequencies of its natural oscillations, which are the most important dynamic characteristics of the structure, are also determined as an incidental result. Examples are considered. The results of the work can be used to predict the stress-strain state of thin-walled structures, including those with functional coatings.

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References

References: 
1. Antufiev, B.A. “Dynamic and impulse deformation of elements of thin-walled structures”, Moscow Aviation Institute, Moscow, Russia (2015).
2. Panovko, Ya.G., and Gubanova, I.I. “Stability and vibrations of elastic systems”, Science, Moscow, USSR (1979).
3. Babaytsev, A.V., Orekhov, A.A., and Rabinskiy, L.N. “Properties and microstructure of AlSi10Mg samples obtained by selective laser melting”, Nanoscience and Technology: An International Journal, 11(3), pp. 213-222 (2020). http://doi.org/10.1615/NanoSciTechnolIntJ.2020034207.
4. Li, Y., Dobryanskiy, V.N., and Orekhov, A.A. “Modelling of crack development processes intechnique and cohesive zone model”, Periodico Tche Quimica, 17(35), pp. 591-598 (2020). https://doi.org/10.52571/ptq.v17.n35.2020.50_li_pgs_591_599.pdf.
5. Orekhov, A.A., Utkin, Y.A., and Pronina, P.F. “Determination of deformation in mesh composite structure under the action of compressive loads”, Periodico Tche Quimica, 17(35), pp. 599-608 (2020). https://doi.org/10.52571/ptq.v17.n35.2020.51_orekhov_pgs_599_608.pdf.
6. Utkin, Y.A., Orekhov, A.A., and Hein, T.Z. “Tribological properties of polymer composite with impregnated quasicrystal nanoparticles”, International Journal of Mechanics, 15, pp. 189-195 (2021). https://doi.org/10.46300/9104.2021.15.22.
7. Vakhneev, S.N. and Sha, M. “Preparation and characterization of magnetite – silica core – shell nanoparticles”, International Journal of Circuits, Systems and Signal Processing, 15, pp. 1457-1463 (2021). https://doi.org/10.46300/9106.2021.15.158.
8. Getmanov, A.G. and Thang, T.Q. “Dielectric properties of nanocomposites based on epoxy resins and titanium dioxide”, International Journal of Circuits, Systems and Signal Processing, 15, pp. 1400-1406 (2021). https://doi.org/10.46300/9106.2021.15.150.
9. Egorova, O.V. and Hein, T.Z. “Improvement of mechanical properties of polymer materials by the nanosized ceramic particles”, WSEAS Transactions on Applied and Theoretical Mechanics, 16, pp. 134-141 (2021). https://doi.org/10.37394/232011.2021.16.14.
10. Vakhneev, S.N. and Min, Y.N. “Investigation of adsorption capacity of metal-organic polymers”, International Journal of Circuits, Systems and Signal Processing, 15, pp. 1443-1449 (2021). https://doi.org/10.46300/9106.2021.15.156.
11. Kuznetsova, E. and Thang, T.Q. “Synthesis and structure of nanocomposites based on linear polymers and nanoparticles of titanium dioxide”, International Journal of Circuits, Systems and Signal Processing, 15, pp. 1407-1413 (2021). https://doi.org/10.46300/9106.2021.15.151.
12. Kuznetsova, E.L. and Sha, M. “Investigation of thermophysical properties of nano magnetite-based polymer materials”, International Journal of Circuits, Systems and Signal Processing, 15, pp. 1527-1533 (2021). https://doi.org/10.46300/9106.2021.15.165.
13. Orekhov, A., Rabinskiy, L., and Fedotenkov, G. “Analytical model of heating an isotropic half-space by a moving laser source with a gaussian distribution”, Symmetry, 14(4), p. 650 (2022). https://doi.org/10.3390/sym14040650.
14. Bulychev, N.A., Rabinskiy, L.N., and Tushavina, O.V. “Effect of intense mechanical vibration of ultrasonic frequency on thermal unstable low-temperature plasma”, Nanoscience and Technology, 11(1), pp. 15-21 (2020). https://doi.org/10.1615/NanoSciTechnolIntJ.2020032816.
15. Serdyuk, A.O., Serdyuk, D.O., and Fedotenkov, G.V. “Stress-strain state of a composite plate under the action of a transient movable load”, Mechanics of Composite Materials, 57(4), pp. 493-502 (2021). https://doi.org/10.1007/s11029-021-09972-z.
Scientia Iranica
Volume 32, Issue 2
Transactions on Mechanical Engineering
January and February 2025 Article ID:6536

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History

  • Receive Date: 18 February 2022
  • Revise Date: 12 September 2023
  • Accept Date: 07 November 2023

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