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Vibrations of the complex torsional system with a viscoelastic mass interlayer

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper presents an analytical method of solving the free and forced vibrations problems concerning a complex torsional continuous system of two circular shafts connected by a viscoelastic mass interlayer. In the solution of free and forced vibrations; the complex functions of real variable are used. Then, the property of orthogonality of complex modes of free vibrations has been demonstrated which is the basis for solving the free and forced vibrations problem for arbitrary initial conditions. The small torsional vibrations of the complex system with a viscoelastic mass interlayer are excited by the steady-state dynamical loading.
Rocznik
Strony
205--217
Opis fizyczny
Bibliogr. 16 poz., rys., wykr.
Twórcy
  • Faculty of Mathematics, Technology & Natural Science, Institute of Technology, Bydgoszcz University
  • Institute of the Applied System Analysis, National Technical University of Ukraine “KPI”
Bibliografia
  • 1. R. Bogacz, T. Szolc, On non-linear analysis of the geared drive systems by means of the wave method, J. of Theor. and Appl. Mech., 31, 2, 393-401, Warsaw 1993.
  • 2. K. Cabańska-Płaczkiewicz, Free vibration of the system of two viscoelastic beams coupled by a viscoelastic interlayer, J. Acoustic Bulletin, 1, 2, 3-10, Kiev 1999.
  • 3. K. Cabańska-Płaczkiewicz, Free vibration of the system of two Timoshenko beams coupled by a viscoelastic interlayer, J. Engng Trans., 47, 1, 21-37, Warsaw 1999.
  • 4. K. Cabańska-Płaczkiewicz, N.D. Pankratova, Torsional vibration of the complex shaft with damping interlayer, J. of Theor. and Appl. Mech., 39, 4, 1001-1017, Warsaw 2001.
  • 5. J. Cabański, Exact method of solution of free vibrations problem for one-dimensional rheological structures, J. of Techn. Phys., 42, 1, 85-102, Warsaw 2001.
  • 6. S. Kasprzyk, Analysis of torsional vibrations of discrete-continuous systems in a class of generalized functions, J. of Theor. and Appl. Mech., 34, 3, 579-596, Warsaw 1996.
  • 7. W. Kurnik, A. Tylikowski, Mechanics of laminated elements [in Polish], Pub. of the Warsaw Univ. of Tech., 1-108, Warsaw 1997.
  • 8. W. Nadolski, The influence of ponderable shafts on dynamic loads between gear teeth in single gear transmission, Archives of Machine Building XLI, 295-314, Warsaw 1994.
  • 9. J. Nizioł, J. Snamina, Free vibration of the discrete-continuous system with damping, J. of Theor. and Appl. Mech., 28, 1-2, 149-160, Warsaw 1990.
  • 10. W. Nowacki, The building dynamics [in Polish], Arkady, Warsaw 1972.
  • 11. Z. Osiński, Damping of the mechanical vibration [in Polish], PWN, Warsaw 1979.
  • 12. J. Osiowski, A draft of the operator calculus [in Polish], WNT, Warsaw 1972.
  • 13. A. Pielorz, Dynamic analysis of a nonlinear discrete torsional system by means of wave method, Z. Angew. Math. Mech., 75, 9, 691-698, 1995.
  • 14. M. Reiner, The theoretical rheology [in Polish], PWN, Warsaw 1958.
  • 15. Cz. Rymarz, Mechanics of continua [in Polish], PWN, Warsaw 1993.
  • 16. F. Tse, I. Morse, R. Hinkle, Mechanical vibrations theory and applications, Allyn and Bacon, Boston 1978.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0001-0096
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