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Analytical solution of excited torsional vibrations of prismatic thin-walled beams

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the paper, the analytical solution of excited torsional vibrations of prismatic thin-walled beams for different types of boundary conditions and different types of external excitation of torsional moment are formulated. The presented solution can be applied, among others, to preliminary analysis of the optimal position of the actuators and the value of the applied voltage to the elements for minimization of the vibrations of the beams.
Rocznik
Strony
991--1004
Opis fizyczny
Bibliogr. 38 poz., rys., tab.
Twórcy
autor
  • Cracow University of Technology, Institute of Applied Mechanics, Kraków, Poland
  • Cracow University of Technology, Institute of Applied Mechanics, Kraków, Poland
Bibliografia
  • 1. Aggarwal H.R., Cranch E.T., 1967, A theory of torsional and coupled bending torsional waves in thin-walled open section beams, Journal of Applied Mechanics – Transactions of the ASME, 34, 6, 337-343
  • 2. Arpaci A., Bozdag S.E., Sunbuloglu E., 2003, Triply coupled vibrations of thin-walled open cross-section beams including rotary inertia effects, Journal of Sound and Vibration, 260, 889-900
  • 3. Augustyn E., Kozień M.S., 2014, Study of possibility of application of piezoelectric actuators for active reduction of torsional vibrations of beams, Acta Physica Polonica A, 125, 4-A, 164-168
  • 4. Bishop R.E.D., Cannon M., Miao S., 1989, On coupled bending and torsional vibration of uniform beams, Journal of Sound and Vibration, 131, 1, 457-464
  • 5. Carr J.B., 1969, Torsional vibration of uniform thin-walled beams of open section, Aeronautical Journal, 73, 704, 672-674
  • 6. Crespo Da Silva M.R.M., 1988a, Non-linear flexural-flexural-torsional-extensional dynamics of beams – I. Formulation, International Journal of Solids and Structures, 24, 12, 1225-1234
  • 7. Crespo Da Silva M.R.M., 1988b, Non-linear flexural-flexural-torsional-extensional dynamics of beams – II. Response analysis, International Journal of Solids and Structures, 24, 12, 1235-1242
  • 8. Di Egidio A., Luongo A., Vestroni F., 2003a, A non-linear model for the dynamics of open cross-section thin-walled beams – Part I: formulation, International Journal of Non-Linear Mechanics, 38, 7, 1067-1081
  • 9. Di Egidio A., Luongo A., Vestroni F., 2003b, A non-linear model for the dynamics of open cross-section thin-walled beams – Part II: forced motion, International Journal of Non-Linear Mechanics, 38, 7, 1083-1094
  • 10. Dokumaci E., 1987, An exact solution for coupled bending and torsion vibrations of uniform beams having single cross-sectional symmetry, Journal of Sound and Vibration, 119, 3, 443-449
  • 11. Eisenberger M., 1997, Torsional vibrations of open and variable cross-section bars, Thin-Walled Structures, 27, 3/4, 269-278
  • 12. Elliott S.P., Nelson P.A., 1997, Active Control of Vibrations, Academic Press, London
  • 13. Ferdek U., Kozień M.S., 2013, FEM simulation of application of FGM piezoelectric actuators for active reduction of beam vibrations, Acta Physica Polonica A, 123, 6, 1044-1047
  • 14. Gere J.M., 1954, Torsional vibrations of beams of thin-walled open section, Journal of Applied Mechanics – Transactions of the ASME, 21, 4, 381-387
  • 15. Gere J.M., Lin Y.K., 1958, Coupled vibrations of thin-walled beams of open cross section, Journal of Applied Mechanics – Transactions of the ASME, 25, 3, 373-378
  • 16. Gryboś R., 1996, Vibrations of Machines (in Polish), Politechnika Śląska, Gliwice
  • 17. Hansen C.H., Snyder S.D., 1997, Active Control of Noise and Vibration, E&FN Spon, London
  • 18. Kaliski S., Solarz L. (Eds.), 1992, Vibrations and Waves. Part B: Waves, Elsevier
  • 19. Kozień M.S., 2013, Analytical solutions of excited vibrations of a beam with application of distribution, Acta Physica Polonica A, 123, 6, 1029-1033
  • 20. Kozień M.S., Kołtowski B., 2011, Comparison of active and passive damping of plate vibration by piezoelectric actuators – FEM simulation, Acta Physica Polonica A, 119, 6-A, 1005-1008
  • 21. Librescu L., Na S., 1998, Dynamic response control of thin-walled beams to blast pulses using structural tailoring and piezoelectric actuation, Journal of Applied Mechanics, 65, 2, 497-504
  • 22. Łączkowski R., 1974, Vibrations of Elements of Heat Turbines (in Polish), WNT, Warszawa
  • 23. Moheimani S.O.R., Fleming A.J., 2006, Piezoelectric Transducers for Vibration Control and Damping, Springer, London
  • 24. Murray N.W., 1986, Introduction to the theory of thin-walled structures, Oxford University Press, Oxford
  • 25. Piechnik S., 2007, Technical Mechanics of Solid Body, Politechnika Krakowska, Kraków
  • 26. Pust L., Pesek L., 2014, Blade couple connected by damping element with dry friction, Journal of Theoretical and Applied Mechanics, 52, 3, 815-826
  • 27. Preumont A., 2006, Mechatronics. Dynamics of Electromechanical and Piezoelectric Systems, Springer, Berlin
  • 28. Rao J.S., 1991, Turbomachine Blade Vibration, Wiley, Chichester
  • 29. Rozmarynowski B., Szymczak C., 1984, Non-linear free torsional vibrations of thin-walled beams with bisymmetric cross-section, Journal of Sound and Vibration, 97, 1, 145-152
  • 30. Sapountzaskis E.J., 2013, Bars under torsional loading: A generalized beam theory approach, ISRN Civil Engineering, Article ID 916581, http://dx.doi.org/10.1155/2013/916581
  • 31. Song O., Librescu L., 1993, Free vibrations of anisotropic composite thin-walled beams of closed cross-section contour, Journal of Sound and Vibration, 167, 1, 129-147
  • 32. Song O., Sang-Yong O.H., Librescu L., 2002, Dynamic behavior of elastically tailored rotating blades modeled as pretwisted thin-walled beams and incorporating adaptive capabilities, International Journal of Rotating Machinery
  • 33. Szymczak C., 1984, Optimal design of thin-walled I beams for a given natural frequency of torsional vibrations, Journal of Sound and Vibration, 97, 1, 137-144
  • 34. Tao W.K., 1964, Dynamics of thin-walled beams of open section, Ph.D. Thesis, California Institute of Technology, Pasadena
  • 35. Timoshenko S.P., Young D.H., Weaver W. Jr., 1974, Vibration Problems in Engineering, Wiley, New York
  • 36. Vlasov V.Z., 1959, Thin-Walled Elastic Beams (in Russian), Goz. Izd. Fiz. Mat. Literat., Moskwa
  • 37. Woroszył S., 1984, Examples and Exercises from Theoty of Vibrations (in Polish), PWN, Warszawa
  • 38. Yaman Y., 1997, Vibration of open-section channels: a coupled flexural and torsional wave analysis, Journal of Sound and Vibration, 204, 1, 131-158
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d921810c-d396-4d87-b42e-5b449a1311fd
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