Application of Lyapunov equation to analysis of random vibration of structure with tuned mass dampers

• Autorzy: Lewandowski R. , Grzymisławska J.
• Konferencja: Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

In this paper the Lyapunov equation is used to analyse random vibration of building structure. The structures with mass dampers are considered. The excitation forces which are functions of fluctuations of wind velocity are treated as random forces. Lyapunov equation is used to determine root mean square of displacements. Results of example calculation are presented and briefly discussed.

Słowa kluczowe

EN

tuned mass damper; TMD; multiple-tuned mass damper; MTMD; Lyapunov equation

PL

tłumik masowy strojony; TMD; wielokrotne strojone tłumiki masowe; MTMD; równanie Lyapunova

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 229--234
• Opis fizyczny: Bibliogr. 7 poz., 1 rys., 1 wykr.

Twórcy

autor

Lewandowski R.

• Institute of Structural Engineering, Poznan University of Technology, Piotrowo Street 5, 60-965 Poznan

autor

Grzymisławska J.

• Institute of Structural Engineering, Poznan University of Technology, Piotrowo Street 5, 60-965 Poznan

Bibliografia

• 1. R. J. McNamara, Tuned mass dampers for buildings, Journal of the Structural Division Proc., ASCE, 105(9) (1977) 1785-1798.
• 2. Y.L. Xu, K.C.S. Kwok, B. Samali, Control of wind-induced tall building vibration by tuned mass dampers, Journal of Wind Engineering and Industrial Aerodynamics, 22 (1992) 833-854.
• 3. G. Chen, J. Wu, Optimal placement of multiple tune mass dampers for seismic structures. Journal of Structural Engineering, 127 (2001) 1054-1062.
• 4. G.B. Warburton, Optimum absorber parameters for various combinations of response and excitation parameters. Earthquake Engineering and Structural Dynamics, 10 (1982) 381-401.
• 5. C. Dyrbye, S.O. Hansen, Wind Loads on Structures, John Wiley and Sons, 1999.
• 6. A.E., Barson, Yu-Chi Ho, Applied optimal control. Optimization, estimation and control, John Wiley and Sons, 1975.
• 7. R. Lewandowski, J. Grzymisławska, Dynamic analysis of structure with multiple tuned mass dampers, Proceedings of The 9th Inernational Conference Modern Building Materials, Structures and Techniques, Vilnius, Lithuania, 3 (2007) 981-986.