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Modeling and parameter identification of vibrations of a double torsion pendulum with friction

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The purpose of this paper is to investigate a double torsion pendulum with planar frictional contact. The single torsion pendulum with one-degree-of-freedom is an angular equivalent of the linear harmonic oscillator. The second degree of freedom has been obtained by adding a free body to the inverted single torsion pendulum. The free body’s angular displacement is caused by frictional forces appearing in the interface (contact zone) between the free body and the pendulum column’s head kinematically excited at its base by a mechanism with torsion spiral spring. An experimental station has been set up and run to find most unknown parameters of the pendulum from the time series of state variables taken as inputs to the Nelder-Mead method of identification. The obtained results proved significant usability of the identification method in the case of numerical simulation of the pendulum’s dynamical model. It has not been satisfactorily proved in the case of time characteristics coming from a real system that exhibits also some unrecognized physical effects.
Rocznik
Strony
204--212
Opis fizyczny
Bibliogr. 12 poz., rys., wykr.
Twórcy
  • Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, ul. Stefanowskiego 1/15, 90-924 Łódź, Poland
autor
  • Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, ul. Stefanowskiego 1/15, 90-924 Łódź, Poland
  • Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, ul. Stefanowskiego 1/15, 90-924 Łódź, Poland
Bibliografia
  • 1. Awrejcewicz J., Olejnik P. (2005), Analysis of dynamic systems with various friction laws, Applied Mechanics Reviews – Transactions of ASME, Vol. 58 (6), 389-411.
  • 2. Awrejcewicz J., Olejnik P. (2005), Friction pair modeling by 2-dof system: numerical and experimental investigations, International Journal of Bifurcation and Chaos, Vol. 15 (6), 1931-1944.
  • 3. Awrejcewicz J., Olejnik P. (2007), Occurrence of stick-slip phenomenon, Journal of Theoretical and Applied Mechanics, Vol. 45(1), 33-40.
  • 4. Bassan M., De Marchi F., Marconi L., Pucacco G., Stanga R., Visco M. (2013), Torsion pendulum revisited, Physics Letters A, Vol. 377 (25-27), 1555-1562.
  • 5. Cadoni M., De Leo R., Gaeta G. (2013), Solitons in a double pendulums chain model, and DNA roto-torsional dynamics, Journal of Nonlinear Mathematical Physics, Vol. 14(1), 128-146.
  • 6. Coullet P., Gilli J.-M., Rousseaux G. (2009), On the critical equilibrium of the spiral spring pendulum, Proceedings of the Royal Society A, Vol. 466, 407-421.
  • 7. De Marchi F., Pucacco G., Bassan M., De Rosa R., Di Fiore L., Garufi F., Grado A., Marconi L., Stanga R., Stolzi F., Visco M. (2013), A quasi-complete mechanical model for a double torsion pendulum, Physical Review D, Vol. 87(122006).
  • 8. Liu X., Vlajic N., Long X., Meng G., Balachandran B. (2014), State-dependent delay influenced drill-string oscillations and stability analysis, ASME Journal of Vibration and Acoustics, Vol. 136(5), 051008.
  • 9. Luersen M.A., Le Riche R. (2004), Globalized Nelder–Mead method for engineering optimization, Computers & Structures, Vol. 82(23-26), 2251-2260.
  • 10. Miao C., Luo W., Ma Y., Liu W., Xiao J. (2014), A simple method to improve a torsion pendulum for studying chaos, European Journal of Physics, Vol. 35, 055012.
  • 11. Michalak M., Krucińska I. (2004), Studies of the effects of chemical treatment on bending and torsional rigidity of bast fibres, Materials Science, Vol. 10(2), 182-185.
  • 12. Skup Z. (2002), Structural friction and viscous damping in a frictional torsion damper, Journal of Theoretical and Applied Mechanics, Vol. 2(40), 497-511.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-21fa07d6-d94d-4a35-84e6-65703286ca13
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