Abstract
Wind excited vibrations of slender structures such as towers, masts or certain types of bridges can be reduced using passive or active vibration absorbers. If there is available only a limited vertical space to install such a device, a ball type of absorber can be recommended. In general, it is a semi-spherical horizontal dish in which a ball of a smaller diameter is rolling. Ratio of both diameters, mass of the rolling ball, quality of contact surfaces and other parameters should correspond with characteristics of the structure. The ball absorber is modelled as a holonomous system. Using Lagrange equations of the second type, governing non-linear differential system is derived. The solution procedure combines analytical and numerical processes. As the main tool for dynamic stability investigation the 2nd Lyapunov method is used. The function and effectiveness of the absorber identical with those installed at the existing TV towers was examined in the laboratory of the Institute of Theoretical and Applied Mechanics. The response spectrum demonstrates a strongly non-linear character of the absorber. The response amplitudes at the top of a TV tower with ball absorber were reduced to 15–40 % of their original values.
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Acknowledgements
A kind support of the Czech Scientific Foundation No. 103/09/0094, Grant Agency of the ASCR Nos. A200710902, A200710805 and RVO 68378297 institutional support are gratefully acknowledged.
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Náprstek, J., Fischer, C., Pirner, M., Fischer, O. (2013). Non-linear Model of a Ball Vibration Absorber. In: Papadrakakis, M., Fragiadakis, M., Plevris, V. (eds) Computational Methods in Earthquake Engineering. Computational Methods in Applied Sciences, vol 30. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6573-3_18
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DOI: https://doi.org/10.1007/978-94-007-6573-3_18
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