AUTHORS: Rui C. Barros, Catarina M. Sousa

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ABSTRACT: The theory behind small amplitude movement of a single pendulum is stated, followed by the construction of a simple example of a coupled pendulum with two degrees of freedom including the unidirectional movement of the structure and the pendulum angle in relation to vertical. These models and the finite elements software SAP 2000 are also applied to a single and to a multiple degree of freedom one bayshear frame building. The application of the pendulum TMD to control the building vibrations is validated by numerical modelling. An additional case with a more complex model was also studied, comprising the secondary reaction wall of a transmission tower testing station whose dynamic behavior under wind action is benefited from placement of a pendulum TMD. The numerical modelling of the studied cases indicates that the application of pendulum TMD's is worthwhile in civil engineering structures.

KEYWORDS: TMD's, Pendulum, Vibration Control, Transmission Tower Testing

REFERENCES:

[1] Sousa, C.M.A., Controlo de respostas dinâmicas em estruturas através de TMD’s pendulares. MSc Thesis in Structural Engineering, FEUP, Porto, Portugal, 2013.

[2] Den Hartog, J.P., Mechanical Vibrations (4th edn). McGraw-Hill, New York, 1956.

[3] Barros, J.E., Moutinho, C., Barros, R.C., The Use of TMD’s with Heavy Mass to Mitigate the Seismic Response of Structures. ECCOMAS Thematic Conference COMPDYN 2011, MS 8: Control of Vibrations in Civil Engineering by Passive Active and Semi-Active Devices (org.: R.C. Barros), Corfu, Greece, 2011.

[4] Kwok, K., Samali, B., Performance of tuned mass dampers under wind loads. Engineering Structures, Vol. 17, No. 9, 1995, pp. 655-667.

[5] Wirsching, P.H., Campbell, G.W., Minimal Structural Response under Random Excitation using Vibration Absorber, Earthquake Engineering & Structural Dynamics, Vol. 2, No. 4, 1974, pp. 303-312.

[6] Barros, R.C. (editor), VHSS Poles – Desenvolvimento de um Banco de Ensaios para Validaçao de Apoios Tubulares em Aço de Alta Resistência para Linhas de Transmissão. FEUP, Porto, Portugal, 2015.

[7] Paiva, F.M., Henriques, J.M., Barros, R.C., Review of Transmission Tower Testing Stations Around the World. Procedia Engineering, Elsevier, Vol. 57, 2013, pp. 859- 868.

[8] Paiva, F.M., Henriques, J.M., Barros, R.C., Bancos de Ensaio no Mundo para Torres de Transmissão de Energia Eléctrica, Actas do II Congresso Luso-Africano de Construçao Metálica Sustentável, CMM, Coimbra, Portugal, 2013, pp. 111-120.

[9] Henriques, J.M., Barros, R.C., Design of a Lattice Wind Tower and a Comparison of the Structural Response With and Without a TMD, Proceedings of the Fourteenth International Conference on Civil Structural and Environmental Engineering Computing, Paper 45, Civil-Comp Press, Stirlingshire, UK, 2013.

[10] Paiva, F.M., Barros, R.C., Design of a Cantilever Sign Support and Comparison of the Structural Response When Subjected to Natural Wind Gusts With and Without a TMD, Proceedings of the Fourteenth International Conference on Civil Structural and Environmental Engineering Computing, Paper 47, Civil-Comp Press, Stirlingshire, UK, 2013.

[11] Barros, R.C., Ferreira, N.A.C., Delgado, R., Effect of Wind in Tall Buildings: a comparison for a real case and its vibration control using a Tuned Mass Damper, in J.W. Bull (Editor) Tall Buildings: Design Advances for Construction, Saxe-Coburg Publications, Stirlingshire, UK, Chapter 2, 2014, pp. 13-53.