Influence of internal damping on cable vibration

Authors

  • Marcel Migdalovici
  • Tudor Sireteanu
  • Emil Matei Videa

Keywords:

cable vibration, modelling and control, Euler-Bernoulli beam, internal damping

Abstract

The problem of vibration control of overhead line conductors subjected to laminar transverse wind, which induce stationary vibrations by Kármán effect, is of high importance due to the consequences on these structures lifetime and service. We consider the conductor (cable) model as Euler-Bernoulli beam with the author condition that detaches the conductor model of the beam model with viscous, hysteretic or dry friction internal damping hypothesis. The original analytical expression of the free vibration modes and the resonance frequencies equation for the cable with clamped extremities were produced. The analytical expression of the dissipated energies of the internal forces of the cable and other analytical results are performed by the authors. A possible equivalence between the internal damping coefficients of the cable models, using the described damping hypothesis, is analyzed.

References

TIMOSHENKO, S., Théorie des vibrations à l’usage des ingénieurs, Librairie Polytechnique Ch. Beranger, Paris et Liège, 1937.

CLAREN, R., DIANA, G., Mathematical Analysis of Transmission Line Vibration, IEEE Transactions on power apparatus and systems, 88, 12, pp. 1741-1771, 1969.

NOWACKI, W., The dynamics of the elastic systems (in Romanian, translation from Polish), Technical Publishing House, Bucharest, 1969.

CHEN, S.S., WAMBSGANSS, M.W., Parallel Flow-Induced Vibration of Fuel Rods, Nuclear Engineering and Design, 18, 2, pp. 253-278, 1972.

THOMSON, W.T., Theory of vibration with applications, Allen & Unwin, Sydney, 1988.

POETSCH, G., EVANS, J., MEISINGER, R., KORTÜM, W., BALDAUF, W., VEITL, A., WALLASCHEK, J., Pantograph/ Catenary Dynamics and Control, Vehicle System Dynamics, 28, 2-3, pp. 159-195, 1997.

KUMANIECKA, A., GRZYB, A., On Dynamics of Catenary Pantograph Modelled as Discrete Continuous System, Machine Dynamics Problems, 24, pp. 105-119, 2000.

GUGLIELMINO, E., SIRETEANU, T., STAMMERS, C.W., GHI??, G., GIUCLEA, M. Semiactive Suspension Control, Springer, London, 2008.

MIGDALOVICI, M., SIRETEANU, T., VIDEA, E., About the aeolian vibration control of overhead line conductors, Proceedings of the ASME-PVP Conference, 366, pp. 119-122, San Diego, 1998.

MIGDALOVICI, M., Control of vibration of overhead line conductors (Chap. 8), in: Topics in applied mechanics – Vol. 2, Edit. Academiei Române, Bucharest, pp. 244-261, 2004.

MIGDALOVICI, M., B?RAN, Daniela, Control of vibrations of some dynamical systems, Edit. Bren, Bucharest, 2006.

MIGDALOVICI, M., SIRETEANU, T., VIDEA, E.M., Vibration control of Transmission Lines in viscous or hysteretic damping hypothesis, Proceedings of the Annual Symposium of the Institute of Solid Mechanics (SISOM 2009), pp. 77-84, Edit. Mediamira, 2009.

Published

2010-06-01

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