Motion Equations Isotropic and Orthotropic Plate Impacted by Elastic Rod

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Authors

  • J. Soukup Department of Machines and Mechanics, Faculty of Production Technology and Management, UJEP in Usti nad Labem, Na Okraji Street 7, Usti nad Labem, Czech Republic Author
  • J. Skočilas Department of Process Engineering, Faculty of Mechanical Engineering, CTU in Prague, Technicka 4, Prague, Czech Republic Author
  • B. Skočilasová Department of Machines and Mechanics, Faculty of Production Technology and Management, UJEP in Usti nad Labem, Na Okraji Street 7, Usti nad Labem, Czech Republic Author
  • L. Ryhlíková Department of Machines and Mechanics, Faculty of Production Technology and Management, UJEP in Usti nad Labem, Na Okraji Street 7, Usti nad Labem, Czech Republic Author

DOI:

https://doi.org/10.5890/JAND.2014.12.010

Abstract

The article deals with solution of the motion equations of plate. The rectangular plate is loaded by elastic rod which influences rectangular plate with force. The direction of the force is perpendicular to the face upper surface of the rectangular plate. The solution is derived for isotropic and orthotropic material. The solution of the motion equations has no analytical solution. The new approximation of the solution based on the transformation of integral equations to system of algebraic equations is presented.

References

[1] Awrejcewicz, J., Krysko, V.A., Saltykova, O.A., and Chebotyrevskiy, Yu.B. (2011), Nonlinear vibrations of the Euler-Bernoulli beam subject to transversal load and impact actions, Nonlinear Studies, 18(3), 329-364.

[2] Volek, J., Soukup, J., and Karasek, V. (2002), Transversale impact of elastic rod on thin elastic rectangular plate, Proceeding of Engineering Mechanics, Svratka.

[3] Volek, J. (2001), Transient tenseness of thin plate invoked by alone force, Bulletin of scientific and pedagogic works of department, Department of technique and production management, UJEP.

[4] Volek, J. (2003), Equation for displacement, velocities and stresses in the thin orthotropic elastic plate by transversal loading on the one face surface. Kirchhoff’s and Rayleigh’s model, Bulletin of scientific and pedagogic works of department, Department of technique and production management, UJEP.

[5] Woinowsky-Krieger, S., (1932), Über die Biegung dünner rechteckiger Platten durch Kreislasten, Ing. Archiv, Bd. III.

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PublishedDecember 2014

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How to Cite

Soukup, J., Skočilas, J., Skočilasová, B., & Ryhlíková, L. (2026). Motion Equations Isotropic and Orthotropic Plate Impacted by Elastic Rod. Journal of Applied Nonlinear Dynamics, 3(4), 393-401. https://doi.org/10.5890/JAND.2014.12.010