Walking Vibration Response of High-Frequency Floors Supporting Sensitive Equipment
Publication: Journal of Structural Engineering
Volume 141, Issue 8
Abstract
High-frequency steel and concrete floors are often used to support sensitive equipment to minimize vibration response to walking. Equipment vibration tolerance limits are sometimes expressed as waveform peak acceleration, and are more often expressed as narrowband spectral acceleration, or one-third octave spectral velocity. Current methods predict the waveform peak response after a footstep. However, postprocessing beyond what is practical for typical design office usage is often required to predict responses directly comparable to spectral tolerance limits. Also, current methods are not calibrated to provide a specific level of conservatism. This paper presents new methods for predicting the waveform peak acceleration, narrowband spectral acceleration maximum magnitude, and one-third octave spectral velocity maximum magnitude. A total of 89 walking vibration tests were performed on five high-frequency floor bays. The measurements are used to assess the precision of the proposed methods and to calibrate the prediction methods to provide a specific probability that the actual response will exceed the predicted response. The measurements are compared to predictions by the proposed method and five established methods.
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Acknowledgments
The writers gratefully acknowledge the American Institute of Steel Construction for funding the research described in this paper.
References
Barrett, A. R. (2006). “Dynamic testing of in-situ composite floors and evaluation of vibration serviceability using the finite element method.” Ph.D. dissertation, Virginia Polytechnic Institute and State Univ., Blacksburg, VA.
Brownjohn, J. M. W. (2006). “Dynamic performance of high frequency floors.” Proc., IMAC-XXIV: Conf. & Exposition on Structural Dynamics, Society for Experimental Mechanics, Bethel, CT.
Brownjohn, J. M. W., Pavic, A., and Omenzetter, P. (2004). “A spectral density approach for modelling continuous vertical forces on pedestrian structures due to walking.” Can. J. Civ. Eng., 31(1), 65–77.
Clough, R. W., and Penzien, J. (2003). Dynamics of structures, 3rd Ed., Computers & Structures, Berkeley, CA.
Davis, B., Liu, D., and Murray, T. M. (2013). “Simplified experimental evaluation of floors subject to walking induced vibrations.” J. Perform. Constr. Facil., 1943–5509.
Davis, D. B. (2008). “Finite element modeling for prediction of low frequency floor vibrations due to walking.” Ph.D. dissertation, Virginia Polytechnic Institute and State Univ., Blacksburg, VA.
Ellis, B. R. (2000). “On the response of long-span floors to walking loads generated by individuals and crowds.” Struct. Eng., 78(10), 17–25.
Ewins, D. J. (2000). Modal testing: Theory, practice, and application, 2nd Ed., Research Studies Press, Baldock, U.K.
Galbraith, F. W., and Barton, M. V. (1970). “Ground loading from footsteps.” J. Acoust. Soc. Am., 48(5–2), 1288–1292.
Hicks, S. J., and Devine, P. J. (2004). Design guide on the vibration of floors in hospitals, Steel Construction Institute, Berkshire, U.K.
Kerr, S. C. (1998). “Human induced loading on staircases.” Ph.D. thesis, Univ. College London, London.
Miskovic, Z., Pavic, A., and Reynolds, P. (2009). “Effects of full-height nonstructural Partitions on modal properties of two nominally identical building floors.” Can. J. Civ. Eng., 36(7), 1121–1132.
Murray, T. M., Allen, D. E., and Unger, E. E. (1997). Steel design guide series 11: Floor vibrations due to human activity, American Institute of Steel Construction, Chicago.
Ohlsson, S. V. (1988). “Ten years of floor vibration research—A review of aspects and some results.” Proc., Symp./Workshop on Serviceability of Buildings, Vol. 1, National Research Council, Ottawa, Canada, 435–450.
Pabian, S., Thomas, A., Davis, B., and Murray, T. M. (2013). “Investigation of floor vibration evaluation criteria using an extensive database of floors.” Proc., Structures Congress, ASCE, Reston, VA, 2478–2486.
Pachi, A., and Ji, T. (2005). “Frequency and velocity of people walking.” Struct. Eng., 83(3), 17–25.
Pavic, A., and Reynolds, P. (2003). “Evaluation of mathematical models for predicting walking-induced vibrations of high-frequency floors.” Int. J. Struct. Stab. Dyn., 3(1), 107–130.
Pernica, G. (1987). “Effect of architechtural components on the dynamic properties of a long-span floor system.” Can. J. Civ. Eng., 14(4), 461–467.
Racic, V., Pavic, A., and Brownjohn, J. M. W. (2009). “Expermental identification and analytical modelling of human walking forces: Literature review.” J. Sound Vibr., 326(1–2), 1–49.
Smith, A. L., Hicks, S. J., and Devine, P. J. (2007). Design of floors for vibration: A new approach, Steel Construction Institute, Ascot, Berkshire, U.K.
Ungar, E. E., Zapfe, J. A., and Kemp, J. D. (2004). “Predicting footfall-induced vibrations of floors.” Sound Vibr., 16–22.
Ver, I. L., and Beranek, L. L. (2005). Noise and vibration control engineering, principles and applications, 2nd Ed., Wiley, Hoboken, NJ.
Willford, M., and Young, P. (2006). A design guide for footfall induced vibration of structures, Concrete Center, Camberley, U.K.
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© 2014 American Society of Civil Engineers.
History
Received: Oct 21, 2013
Accepted: Aug 16, 2014
Published online: Sep 16, 2014
Discussion open until: Feb 16, 2015
Published in print: Aug 1, 2015
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