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Vibration mitigation of guyed masts via tuned pendulum dampers

  • Lacarbonara, Walter (Dipartimento di Ingegneria Strutturale e Geotecnica,Sapienza University of Rome) ;
  • Ballerini, Stefano (Dipartimento di Ingegneria Strutturale e Geotecnica,Sapienza University of Rome)
  • 투고 : 2007.06.09
  • 심사 : 2009.05.23
  • 발행 : 2009.07.10

초록

A passive vibration mitigation architecture is proposed to damp transverse vibrations of guyed masts. The scheme is based on a number of pendula attached to the mast and tuned to the vibration modes to be controlled. This scheme differs from the well-known autoparametric pendulum absorber system. The equations of motion of the guyed mast with an arbitrary number of pendula are obtained. The leading bending behaviour of a typical truss mast is described by an equivalent beam model whereas the guys are conveniently modeled as equivalent transverse springs whose stiffness comprises the elastic and geometric stiffness. By assuming a mast with an inertially and elastically isotropic cross-section, a planar model of the guyed mast is investigated. The linearization of the equations of motion of the mast subject to a harmonic distributed force leads to the transfer functions of the structure without the dampers and with the dampers. The transfer functions allow to investigate the mitigation effects of the pendula. By employing one pendulum only, tuned to the frequency of the lowest mode, the effectiveness of the passive vibration potential in reducing the motion and acceleration of the top section of the mast is demonstrated.

키워드

참고문헌

  1. Bajaj, A.K., Chang, S.I. and Johnson, J.M. (1994), "Amplitude modulated dynamics of a resonantly excited autoparametric two degree-of-freedom system", Nonlinear Dyn., 5, 433-457 https://doi.org/10.1007/BF00052453
  2. Battista, R.C., Rodrigues, R.S. and Pfeil, M.S. (2003), "Dynamic behavior and stability of transmission line towers under wind forces", J. Wind Eng. Ind. Aerod., 91, 1051-1067 https://doi.org/10.1016/S0167-6105(03)00052-7
  3. Gerges, R.R. and Vickery, B.J. (2003), "Parametric experimental study of wire rope spring tuned mass dampers", J. Wind Eng. Ind. Aerod., 91, 1363-1385 https://doi.org/10.1016/j.jweia.2003.09.038
  4. Hatwal, H., Mallik, A.K. and Ghosh, A. (1983), "Forced nonlinear oscillations of an autoparametric system. Part 1: Periodic responses", J. Appl. Mech., ASME, 50, 657-662 https://doi.org/10.1115/1.3167106
  5. Hatwal, H., Mallik, A.K. and Ghosh, A. (1983), "Forced nonlinear oscillations of an autoparametric system. Part 2. chaotic responses", J. Appl. Mech., ASME, 50, 663-668 https://doi.org/10.1115/1.3167107
  6. Haxton, R.S. and Barr, A.D.S. (1972), "The autoparametric vibration absorber", Am. Soc. Mech. Eng., 94, 119-125
  7. He, Y.L., Ma, X. and Wang, Z.M. (2003), "Nonlinear discrete analysis method for random vibration of guyed masts under wind load", J. Wind Eng. Ind. Aerod., 91, 513-525 https://doi.org/10.1016/S0167-6105(02)00451-8
  8. Irvine, H.M. (1984), "Cable structures", Dover Publications Inc., New York
  9. Song, Y., Sato, H., Iwata, Y. and Komatsuzaki, T. (2003), "System with a parametrically excited pendulum", J. Sound Vib., 259(4), 747-759 https://doi.org/10.1006/jsvi.2002.5112
  10. Yabuno, H., Endo, Y. and Aoshima, N. (1999), "Stabilization of 1/3-order subharmonic resonance using an autoparametric vibration absorber", J. Vib. Acoust., 121(3), 309-315 https://doi.org/10.1115/1.2893981

피인용 문헌

  1. Modified pendular vibration absorber for structures under base excitation vol.66, pp.2, 2009, https://doi.org/10.12989/sem.2018.66.2.161
  2. Exploration of the Nonlinear Effect of Pendulum Tuned Mass Dampers on Vibration Control vol.147, pp.8, 2021, https://doi.org/10.1061/(asce)em.1943-7889.0001961