Modelowanie drgań układu maszt-gondola elektrowni wiatrowej z tłumikiem dynamicznym

Łatas, W.; Martynowicz, P.

Artykuł - szczegóły

Tytuł artykułu

Modelowanie drgań układu maszt-gondola elektrowni wiatrowej z tłumikiem dynamicznym

Autorzy

Łatas W. , Martynowicz P.

Identyfikatory

Warianty tytułu

Modelling vibration of wind turbine tower-nacelle assembly with a tuned mass damper

Języki publikacji

Abstrakty

Rozważono drgania układu maszt-gondola elektrowni wiatrowej. Maszt zamodelowano jako pryzmatyczną belkę sztywno połączoną z masą skupioną reprezentującą gondolę. Do masy skupionej został dołączony tłumik dynamiczny pracujący w kierunku poziomym. Założono małe, liniowe drgania belki opisanej modelem Eulera-Bernoullego. Układ poddano wymuszeniu siłą poziomą. Równanie ruchu rozwiązano metodą rozdzielenia zmiennych Fouriera. Dokonując czasowej transformacji Laplace'a, otrzymano zależności opisujące amplitudę w dziedzinie częstotliwości dla ugięcia dowolnego przekroju belki.

The paper deals with vibration of wind turbine tower-nacelle assembly. The tower is modelled as a prismatic beam with a lumped mass representing the nacelle. In order to attenuate vibration, a horizontal tuned mass damper is attached to the nacelle. Assuming small and linear vibration, an analytical Euler-Bernoulli model is introduced. The system is subjected to the horizontal excitation force. The solution to the problem is expanded in a Fourier series. Performing time-Laplace transform, formulas describing displacement amplitudes of arbitrary point of the beam may be written in the frequency domain.

Słowa kluczowe

elektrownia wiatrowa drgania tłumik dynamiczny układ maszt-gondola

wind farm vibration tuned mass damper tower-nacelle assembly

Wydawca

Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej. Oddział Gliwice

Czasopismo

Modelowanie Inżynierskie

Rocznik

2012

Tom

T. 13, nr 44

Strony

187--198

Opis fizyczny

Bibliogr. 47 poz.

Twórcy

autor

Łatas W.

autor

Martynowicz P.

Politechnika Krakowska, Instytut Mechaniki Stosowanej, latas@mech.pk.edu.pl

Bibliografia

1. Den Hartog J.P.: Mechanical vibrations, Dover Publications, Mineola, NY, 1985.
2. Korenev B.G., Reznikov L.M.: Dynamic vibration absorbers :theory and technical applications. New York: Wiley, 1993.
3. Harris C.M., Piersol A.G.: Harris’ shock and vibration handbook. McGraw - Hill, 2002.
4. Mead D.J.: Passive vibration control. New York: Wiley, 1999.
5. Lee Ch. - L., Chen Y. - T., Chung L. - L., Wangd Y. - P.: Optimal design theories and applications of tuned mass dampers. “ Engineering Structures” 2006, 28, p. 43 – 53.
6. Rüdinger F. : Tuned mass damper with fractional derivative damping.” Engineering Structures” 2006, 28, p. 1774 – 1779.
7. Li C., Zhu B.: Estimating double tuned mass dampers for structures under ground acceleration using a novel optimum criterion. “ Journal of Sound and Vibration ” 2006, 298, p. 280 – 297.
8. Krenk S., Hogsberg J.: Tuned mass absorbers on damped structures under random load. “ Probabilistic Engineering Mechanics ” 2008, 23, p. 408 – 415.
9. Mohtat A., Dehghan - Niri E.: Generalized framework for robust design of tuned mass damper syste ms. “ Journal of Sound and Vibration ” 2012, 330, p. 902 – 922.
10. Leung A.Y.T., Zhang H.: Particle swarm optimization of tuned mass dampers. “ Engineering Structures ” 2009, 31, p. 715 – 728.
11. Sgobba S., Marano G.C.: Optimum design of linear tuned mass dampers for structures with nonlinear behaviour. “ Mechanical Systems and Signal Processing ” 2010, 24, p. 1739 – 1755.
12. Marano G.C., Greco R., Sgobba S.: A comparison between different robust optimum design approaches: application to tuned mass dampers. “ Probabilistic Engineering Mechanics ” 2010, 25, p. 108 – 118.
13. Chakraborty S., Roy B.K.: Reliability based optimum design of tuned mass damper in seismic vibration control of structures with bounded uncertain parameters. “ Probabilistic Engineering Mechanics ” 2011, 26, p. 215 – 221.
14. Farshi B., Assadi A.: Development of a chaotic nonlinear tuned mass damper for optimal vibration response. “ Communication in Nonlinear Science and Numerical Simulation ” 2011, 16, p. 4514 – 4523.
15. Jokic M., Stegic M., Butkovic M.: Reduced - order multiple tuned mass damper optimization: a bounded real lemma for descriptor systems approach. “ Journal of Sound and Vibration ” 2011, 330, p. 5259 – 5268.
16. Tigli O.F.: Optimum vibration absorber (tuned mass damper) design for linear damped systems subjected to random loads. “ Journal of Sound and Vibration ” 2012, 331, p. 3035 – 3049.
17. Bisegna P., Caruso G.: Closed - form formulas for the optimal pole - based design of tuned mass dampers. “ Journal of Sound and Vibration ” 2012, 331, p. 2291 – 2314.
18. Chen S.R., Cai C.S.: Coupled vibration control with tuned mass damper for long - span bridges. “ Journal of Sound and Vibration ” 2004, 278, p. 449 – 459.
19. Abdel - Rohman M., M ariam J.J.: Control of wind - induced nonlinear oscillations in suspension bridges using multiple semi - active tuned mass dampers. “ Journal of Vibration and Control ” 2006, 12(9), p. 1011 – 1046.
20. Chen S.R., Wu J.: Performance enhancement of bridge infrastructure systems: long - span bridge, moving trucks and wind with tuned mass dampers. “ Engineering Structures ” 2008, 30, p. 3316 – 3324.
21. Nagarajaiah S., Varadarajan N.: Short time Fourier transform algorithm for wind response control of buildings with variable stiffness TMD. “ Engineering Structures ” 2005, 27, p. 431 – 441.
22. Wang A. - P., Lin Y. - H.: Vibration control of a tall building subjected to earthquake excitation. “ Journal of Sound and Vibration ” 2007, 299, p. 757 – 773.
23. Guclu R., Yazici H.: Vibration control of a structure with ATMD against earthquake using fuzzy logic controllers. “ Journal of Sound and Vibration ” 2008, 318, p. 36 – 49.
24. Liu M. - Y., Chiang W. - L., Hwang J. - H., Chu Ch. - R.: Wind - induced vibration of high - rise building with tuned mass damper including soil - structure interaction. “ Journal of Wind Engineering and Industrial Aerodynamics ” 2008, 96, p. 1092 – 1102.
25. Bekdaş G., Nigdel i S.M.: Estimating optimum parameters of tuned mass dampers using harmony search. “ Engineering Structures ” 2011, 33, p. 2716 – 2723.
26. Moon K.S.: Structural design of double skin facades as damping devices for tall buildings. “ Procedia Engineering ” 2011, 14, p . 1351 – 1358.
27. Ricciardelli F.: On the amount of tuned mass to be added for the reduction of the shedding - induced response of chimneys. “ Journal of Wind Engineering and Industrial Aerodynamics ” 2001, 89, p. 1539 – 1551.
28. Brownjohn J.M.W., Carden E.P., Goddard C .R., Oudin G.: Real - time performance monitoring of tuned mass damper system for a 183m reinforced concrete chimney. “ Journal of Wind Engineering and Industrial Aerodynamics ” 2010, 98, p. 169 – 179.
29. Yau J. - D., Yang Y. - B.: A wideband MTMD system for reducing the dynamic response of continuous truss bridges to moving train loads. “ Journal of Structural Engineering ” 2004, 26, p. 1795 – 1807.
30. Yau J. - D., Yang Y. - B.: Vibration reduction for cable - stayed bridges travelled by high - speed trains. “ Finite Elements in Analysis and Design ” 2004, 40, p. 341 – 359.
31. Li J., Su M., Fan L.: Vibration control of railway bridges under high - speed trains using multiple tuned mass dampers. ASCE “ Journal of Bridge Engineering ” 2005, 10(3), p. 312 – 320.
32. Shi X., Cai C.S.: Suppression of vehicle - induced bridge vibration using tuned mass damper. “ Journal of Vibration and Control ” 2008, 14(7), p. 1037 – 1054.
33. Luu M., Zabel V., Konke C.: An optimization method of multi - resonant response of high - speed train bridges using TMDs. “ Finite Elements in Analysis and Design ” 2012, 53, p.13 – 23
34. Li Quan., Fan J., Nie J., Li Quanwang., Chen Y.: Crowd - induced random vibration of footbridge and vibration control using multiple tuned mass dampers. “ Journal of Sound and Vibration ” 2010, 329, p. 4068 – 4092.
35. Caetan o E., Cunha A., Magalhaes F., Moutinho C.: Studies for controlling human - induced vibration of the Pedro e Ines footbridge. Part 2: Implementation of tuned mass dampers. “ Engineering Structures ” 2010, 32, p.1082 – 1091.
36. Esmalizadeh E., Jalili N.: Optimal design of vibration absorbers for structurally damped Timoshenko beams. ASME “ Journal of Vibration and Acoustics ” 1998, 120, p. 833 – 841.
37. Brennan M.J., Dayou J.: Global control of vibration using a tunable vibration neutralizer. “ Journal of Sound and Vibration ” 2000, 232(3), p. 585 – 600.
38. Younesian D., Esmailzadeh E., Sedaghati R.: Passive vibration control of beams subjected to random excitations with peaked PSD. “ Journal of Vibration and Control ”, 2006, 12(9), p. 941 – 953.
39. Yang F ., Sedaghati R.: Vibration suppression of non - uniform curved beams under random loading using optimal tuned mass damper. “ Journal of Vibration and Control ” 2009, 15(2), p. 233 – 261.
40. Cheung Y.L., Wong W.O.: Isolation of bending vibration in a beam structure with a translational vibration absorber and a rotational vibration absorber. “ Journal of Vibration and Control ” 2008, 14(8), p. 1231 – 1246.
41. Lim Ch. - W.: Active vibration control of the linear structure with an active mass damper applying robust saturation controller. “Mechatronics” 2008, 18, p. 391 – 399.
42. Ricciardelli F., Occhiuzzi A., Clemente P.: Semi active tuned mass damper control strategy for wind - excited structures. “ Journal of Wind Engineering and Industrial Aerodynamics ” 2000, 87, p. 57 – 74.
43. Keye S., Keimerb R., Homannc S.: A vibration absorber with variable eigen frequency for turboprop aircraft. “ Aerospace Science and Technology ” 2009, 13, p. 165 – 171.
44. Kim H. - S., Kang J. - W.: Semi - active fuzzy control of a wind - excited tall building using multi - objective genetic algorithm. “ Engineering Structures ” 2012, 41, p. 242 – 257.
45. Li H. - N., Ni X. - L.: Optimization of non - uniformly distributed multiple tuned mass damper. “ Journal of Sound and Vibration ” 2007, 308, p. 80 – 97.
46. Du D., Gu X. - J., Chu D. - Y., Hua H.: Performance and parametric study of infinite - multiple TMDs for structures under ground acceleration by H optimization. “ Journal of Sound and Vibration ” 2007, 305, p. 843 – 853.
47. Thompson D.J.: A continuous damped vibration absorber to reduce broad - band wave propagation in beams. “ Journal of Sound and Vibration ” 2008, 311, p. 824 – 842.

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-article-BSL7-0065-0023