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The vibration of rectangular orthotropic plate with massive inclusions

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem on proper and forced vibrations of the loosely leant rectangular orthotropic plate with massive circular inclusion is considered in the paper. The flexure of the plate is described by modified equations of Timoshenko's theory of plates. Numerical solution of the problem is found by the indirect method of boundary elements based on the sequential approach to constructing generalized functions and on collocation method. The problem can be generalized on the case of arbitrary located inclusion and the arbitrary number of them. The influence of the mass of the massive circular inclusion on the proper frequencies of the plate is investigated.
Rocznik
Strony
369--376
Opis fizyczny
Bibliogr. 9 poz., wykr.
Twórcy
autor
  • The National Polytechnic University, Department of Higher Mathematics, Lviv, Ukraine
Bibliografia
  • [1] C. G. Boay. Frequency analysis of isotropic plates carrying a concentrated mass. Comp. Struct., 56: 39
  • [2] C.G. Boay. Free vibration of rectangular isotropic plates with and without a concentrated mass. Comp. Structure 48: 529-533, 1993.
  • [3] N. Li. D.J. Gorman. Free vibration analysis of simply supported rectangular plates with internal line supfport along diagonals. J. Sound Vibr., 165: 361-368, 1993.
  • [4] O. S. Li. An exact approach for free vibration analysis of rectangular plates with line-concentrated mass and elastic line-support. Int. J. Mech. Sci., 45, 669-685, 2003.
  • [5] B. Pelech, M. Sukhorolsky. Contact Problems of the Theory of Elastic Anisotropic Shells. Naukova Duinka. Kiev, 1980.
  • [6] B.P. Shastry, G. Venkateswara Rao. Free vibration of thin rectangular plates with arbitrary oriented stiffeners Comp. Struct, 7: 627-629, 1977.
  • [7] M. Sukhorolsky. About the using of formal small parameters in the problems of the theory of elasticity. Visnyk NU "LP". 248: 93-95, 1990.
  • [8] M. Sukhorolsky. About the order of local approximation of functions by the trigonometric polynomials – the partial sums of the operators of averaging-out. Ukr. Math. J.. 5: 706 714, 1997.
  • [9] D. Zhou, T. Ji. The free vibration of rectangular plates with continuously distributed springmass. Int. J. Mech. Sci., 43: 6502-6520, 2006.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0047-0009
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