Abstract
The theory behind small amplitude movement of a pendulum is stated, followed by construction of a simple example with two degrees of freedom including the unidirectional movement of the structure and the pendulum angle in relation to vertical. This simple model and the finite elements software SAP2000 are also applied to a multiple degree of freedom one bay-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 a reaction tower of a transmission tower testing station which dynamic behavior under wind action is benefited from placement of a pendulum TMD. The numerical modelling of the studied indicate that the application of pendulum TMD’s is worthwhile in civil engineering structures.
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References
Sousa, C.M.A.: Controlo de respostas dinâmicas em estruturas através de TMD’s pendulares. MSc Thesis in Structural Engineering, FEUP, Porto, Portugal (2013)
Den Hartog, J.P.: Mechanical Vibrations, 4th edn. McGraw-Hill, New York (1956)
Barros, J.E., Moutinho, C., Barros, R.C.: The use of TMD’s with heavy mass to mitigate the seismic response of structures. In: 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)
Kwok, K., Samali, B.: Performance of tuned mass dampers under wind loads. Eng. Struct. 17(9), 655–667 (1995)
Wirsching, P.H., Campbell, G.W.: Minimal Structural Response under Random Excitation using Vibration Absorber. Earthquake Eng. Struct. Dynam. 2(4), 303–312 (1974)
Barros, R.C.: 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)
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© 2017 Springer International Publishing Switzerland
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de Barros, R.C., Sousa, C.M. (2017). Pendulum TMD’s in Building Vibration Control. In: Garrido, P., Soares, F., Moreira, A. (eds) CONTROLO 2016. Lecture Notes in Electrical Engineering, vol 402. Springer, Cham. https://doi.org/10.1007/978-3-319-43671-5_47
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DOI: https://doi.org/10.1007/978-3-319-43671-5_47
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