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Stress state of plate with incisions under the action of oscillating concentrated forces

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper proposes the novel technique for analysis of dynamic stress state of multi-connected infinite plates under the action of oscillating forces. Calculation of dynamic stresses at the incisions of plates is held using the boundary-integral equation method and the theory of complex variable functions. The numerical implementation of the developed algorithmis based on the method of mechanical quadratures and collocation technique. The algorithm is effective in the analysis of the stress state caused by steady-state vibrations of plates.
Rocznik
Strony
140--144
Opis fizyczny
Bibliogr. 20 poz., rys., wykr.
Twórcy
autor
  • Department of Technical Mechanic, Lutsk National Technical University, 75 Lvivska st., Lutsk, 43018, Ukraine
autor
  • Bialystok University of Technology, ul. Wiejska 45C, 15-351 Bialystok, Poland
autor
  • Department of Technical Mechanic, Lutsk National Technical University, 75 Lvivska st., Lutsk, 43018, Ukraine
Bibliografia
  • 1. Banerjee P. (1994) Boundary element method in engineering science, McGraw Hill, New York, London.
  • 2. Bonnet М. (1995), Integral equations and boundary elements. Mechanical application of solids and fluids (in French), CNRS Éditions / Éditions EYROLLES, Paris.
  • 3. Brebbia C., Telles J., Wrobel L. (1984), Boundary element techniques, Springer, New York.
  • 4. Elbert Á., Laforgia A. (1986), Monotonicity properties of the zeros of Bessel functions, SIAM Journal on Mathematical Analysis, 17, 1483-1488.
  • 5. Eshkuvatov Z. K., Nik Long N. M. A., Abdulkawi M. (2009), Quadrature formula for approximating the singular integral of Cauchy type with unbounded weight function on the edges, Journal of Computational and Applied Mathematics, 233, 334–345.
  • 6. Guz A.M. Kubenko V., Chernenko M. (1978) The diffraction of elastic waves, Naukova Dumka, Kyiv.
  • 7. Kolm P., Rokhlin V. (2001), Numerical Quadratures for Singular and Hypersingular Integrals, Computers and Mathematics with Applications, 41, 327-352.
  • 8. Kubenko V. (1967) Dynamic stress concentration around an elliptical hole, Reports of the Academy of Sciences USSR, 3, 60-64.
  • 9. Kupradze V. (1963) Methods of potential in the theory of elasticity, Fizmatgiz, Moscow.
  • 10. Mikulich O. A. (2012), Stress state of plate elements with rigid inclusion of arbitrary shape at a steady-state oscillations, Naukovi notatky, 39, 118-123.
  • 11. Mikulich O. A., Maksymovych V. M. (2011), Study of interaction holes in infinity plates at a steady-state oscillations, Naukovi notatky, 33, 164-169.
  • 12. Mow C., Mente L. (1963): Dynamic stresses and displacements around cylindrical discontinuities due to plane harmonic shear waves, Journal of Applied Mechanics, 30, 598–604.
  • 13. Mushelishvili N.(1966) Some selected problems of mathematical theory of elasticity, Moscow.
  • 14. Panasyuk V., Savruk M., Nazarchuk Z. (1984) The method of singular integral equations in two-dimensional diffraction problems, Naukova Dumka, Kyiv.
  • 15. Pao Y., Mow C. (1971) Diffraction of elastic waves and dynamic stress concentration, Crane Russak, New York.
  • 16. Savin G. N. (1968), Distribution of the stresses near the holes, Naukova Dumka, Kyiv.
  • 17. Sherman D. (1962) The method of integral equations in the plane and spatial problems of static elasticity theory, Proceedings of the All-Union Congress on Theoretical and Applied Mechanics, 405-467.
  • 18. Sidi A. (2006), Extension of a class of periodizing variable transformations for numerical integration, Mathematics of Computation, 75(253), 327–343.
  • 19. Sladek J., Sladek V., Atluri S. N. (2000), Local boundary integral equation method for solving problem of elasticity with nonhomogeneous material properties, Computational mechanics, 24, 456-462.
  • 20. Timoshenko S. (1967) Fluctuations in engineering, Nauka, Moscow.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-41d699e7-4bc5-4b2a-be30-54b7d9a3ad64
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