Dynamic analysis of torsional discrete-continuous systems with position-dependent variable inertia

• Autorzy: Pielorz A.
• Języki publikacji: EN

Abstrakty

EN

In the paper, dynamic investigations of multi-mass discrete-continuous systems torsionally deformed are performed taking into account the position-dependent mass moment of inertia of one of rigid bodies. It is assumed that the rigid body representing a motor moves with a variable velocity. An originally nonlinear problem is linearized, and the wave approach leading to solving equations with a retarded argument having variable coefficients is used for the solution. Exemplary numerical calculations are done for a three-mass system.

Słowa kluczowe

EN

variable inertia; discrete-continuous systems; wave approach

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2014
• Tom: Vol. 52 nr 1
• Strony: 107--115
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Pielorz A.

• Kielce University of Technology, Faculty of Management and Computer Modelling, Kielce, Poland

Bibliografia

• 1. Cherepennikov V.B., 2008, Polynomial quasisolutions of a boundary value problem for linear differential-difference equations, Functional Differential Equations, 15, 4, 143-157
• 2. Cherepennikov V.B., Ermolaeva P.G., 2006, Polynomial quasisolutions of linear differentialdifference equations, Opuscula Mathematica, 26, 3, 431-443
• 3. Hale J.K., Verduyn Lunen S.M., 1993, Introduction to Functional Differential Equations, Springer-Verlag, New York
• 4. Hesterman D.C., Stone B.J., 1995, Secondary inertia effects in the torsional vibration of reciprocating engines – a literature review, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 209, 1, 11-15
• 5. Koser K., Pasin F., 1995, Continuous modeling of the torsional vibrations of the drive shaft of mechanisms, Journal of Sound and Vibration, 188, 1, 17-24
• 6. Koser K., Pasin F., 1997, Torsional vibrations of the drive shafts of mechanisms, Journal of Sound and Vibration, 199, 4, 559-565
• 7. Nadolski W., Pielorz A., 2001, Theoretical investigations of nonlinear loads on gear teeth in single gear transmission, International Journal of Mechanical Sciences, 43, 299-311
• 8. Pasricha M.S., Carnegie W.D., 1979, Formulation of the equations of dynamic motion including the effects of variable inertia on the torsional vibrations in reciprocating engines, Part I, Journal of Sound and Vibration, 66, 181-186
• 9. Pielorz A., 1999, Non-linear vibrations of a discrete-continuous torsional system with nonlinearities having characteristic of a soft type, Journal of Sound and Vibration, 225, 2, 375-389
• 10. Pielorz A., 2003, Vibration problems in selected torsional mechanical systems, Meccanica, 38, 6, 731-738
• 11. Pielorz A., 2007, Nonlinear equations with a retarded argument in discrete-continuous systems, Mathematical Problems in Engineering, 2007, doi: 10.1155/2007/28430
• 12. Pielorz A., 2010, Vibrations of rod-rigid element systems with a local non-linearity, International Journal of Non-Linear Mechanics, 45, 888-894, doi: 10.1016/j.ijnonlinmec.2009.11.016
• 13. Pielorz A., Skóra M., 2006, Modeling of multimass systems torsionally deformed with variable inertia, Differential Equations and Nonlinear Mechanics, 2006, ID 20758, 1-11
• 14. Pielorz A., Skóra M., 2009a, Analytical approach in torsional multi-mass discrete-continuous systems with variable inertia, Meccanica, 44, 121-131
• 15. Pielorz A., Skóra M., 2009b, Torsional vibrations of discrete-continuous systems with local nonlinearities having soft characteristics, Journal of Theoretical and Applied Mechanics, 47, 211-227
• 16. Sinha S.C., Butcher E.A., 1997, Symbolic computation of fundamental solution matrices for linear time-periodic dynamical systems, Journal of Sound and Vibration, 206, 1, 61-85
• 17. Turhan O., Koser K., 2004, Parametric stability of continuous shafts, connected to mechanisms with position-dependent inertia, Journal of Sound and Vibration, 277, 223-238
• 18. Zajączkowski J., 1987, Torsional vibration of shafts coupled by mechanisms, Journal of Sound and Vibration, 116, 221-237