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The influence of transverse shearing and rotatory inertia on the vibrations of fibrous composite beam

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EN
Abstrakty
EN
The aim of the paper was to determine the influence of transverse shear deformation and rotatory inertia on the natural frequencies and on the values of displacements of beams made of fibrous composites reinforced with layers' of long fibres. It was assumed that the matrix of the composite beam possesses linear elastic and transversaIly isotropic properties. Moreover a reinforcement in the form of layers composed of long fibres symmetricaIly located in the cross section was considered. In order to describe the displacement and strain state of the matrix, Timoshenko theory was assumed. Using the complete analytical solutions obtained in the paper the accuracy analysis of results was performed in comparison with the theory of Bernoulli beam.
Rocznik
Tom
Strony
23--36
Opis fizyczny
Bibliogr. 13 poz., rys., tab.
Twórcy
autor
  • Uniwersytet Technologiczno-Przyrodniczy w Bydgoszczy
Bibliografia
  • 1.Gołaś J.: On limits of application of Kirchhoff's hypothesis in the theory of viscoelastic fibrous composite plates, Engineering Transactions, 43, 4 (1995),603-626.
  • 2.Gołaś J.: On necessity of making allovance for shear strain in cylindrical bending of fibre composite viscoelastic plates, Archives of Civil Engineering, 43, 2 (1997), 121-147.
  • 3.Gołaś J.: Solution for Timoshenko beams expressed in terms of Euler-Bernoulli solutions for fibre-reinforced straight composite beams [in Polish], Akademia Techniczno-Rolnicza, Zeszyty Naukowe Nr 228, Mechanika 47, Bydgoszcz 2000, 111-120.
  • 4.Holnicki-Szulc J.: Distortions in structural systems. Analysis, control, modelling [in Polish], PWN, Warszawa-Poznań 1990.
  • 5.Jemielita G.: Problems of dynamics of plates [in Polish] Mechanika Techniczna (Applied Mechanics),Vol. VIII, Woźniak Cz. [red.], PWN, Warszawa 2001, pp. 296-330.
  • 6.Kapania R.K., Raciti S.: Recent advances in analysis of laminated beams and plates, Part I. Shear effects and buckling. AIAA J., 27, 7 (1989), 923-934; Part II. Vibrations and wave propagation. AIAA J., 27, 7 (1989), 935-946.
  • 7.Kączkowski Z.: Dynamics of bars and bar structures [in Polish] Mechanika Techniczna (Applied Mechanics), Vol. IX, PWN, Warszawa 1988, pp. 182-240.
  • 8.Malmeister A.K., Tamuż V.P., Teters G.A.: Strength of polymeric and composite materials [in Russian], Zinatne, Riga 1980.
  • 9.Nowacki W., Dynamics of elastic systems [in Polish], Arkady, Warszawa 1961.
  • 10.Reddy J.N., Phan N.D.: Stability and vibration of isotropic, orthotropic and laminated plates according to a higher - order shear deformation theory, J. Sound and Vibr., 98, 2 (1985), 157-170.
  • 11.Szcześniak W.: Free vibrations of viscoelastic Timoshenko beam and shield [in Polish], Engineering Transactions, 22, 4 (1974), 669-687.
  • 12.Szcześniak W.: Selected problems of dynamics of plates [in Polish] Oficyna Wydawnicza PW, 2000.
  • 13.Świtka R.: Equations of the fibre composite plates, Engineering Transactions, 40, 2 (1992), 187-201.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ3-0030-0003
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