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then the dynamic stiffness shall be considered. References

The Limitations of Existing Equation [1] Gordon, C. G., “The Design of Low-
From above discussion we can conclude: Vibration Buildings for Microelectronics
• Only adequate for ”soft” floor which vibration level is and Other Occupancies,” presented at the
dominated by footfall First International Conference on Vibration
Control in Optics and Metrology, London,
• Regarding “hard” floor, no further researches have been SPIE Proc. Vol. 732, February 1987, pp. 2-10.
developed
[2] Murray, Thomas M., David E. Allen, and
• No dynamic information can be got Eric E. Ungar (2003), “Floor Vibrations
Due to Human Activity,” Steel Design
Future Research Guide Series 11, American Institute of Steel

The further research and challenge are summarized Construction
as:
[3] Eric Ungar and Robert W. White (1979),
• Develop generic floor vibration assessment “Footfall-Induced Vibrations of Floors
method by Supporting Sensitive Equipment,” Sound
1. In-situ floor dynamic property test and Vibration, October, pp. 10-13.
2. In-situ floor vibration performance [4] Michael Willford, Arup, London, UK,
3. Finite Element numerical model & Caroline Field, Arup, San Francisco,
4. Structure dynamic theory USA, “Improved methodologies for the
prediction of footfall-induced vibration”,
• Challenge
There’re no theoretical research on “hard floor (such SEMICONDUCTOR FABTECH 28th
as waffle slab) “ assessment, especially how to apply an Edition, Dec. 2005
“external” force to get response [5] H. Amick, M. Gendreau, and C. G.
Gordon, “Facility Vibration Issues for
Nanotechnology Research,” Proc. Symp.
on Nano Device Technology 2002, May
2-3, 2002, National Chiao-Tung University,
Hsinchu, Taiwan.
[6] S.C. Kerr, Human Induced Loading on
Staircases, PhD Thesis, University of
London, 1998.

[7] J.H. Rainer, G. Pernica and D.E. Allen,
dy n a m ic load i n g a nd re sp on s e of
1000 footbridges; Canadian Journal of Civil
Engineering, 15(1), 66, 1988
[8] S.V. Ohlsson, “Floor vibration and Human
μln/s 100 discomfort”, Chalmers University of
RMS Velocity, [9] F.W. Galbraith and M.V. Barton, “Ground
Technology, Goteborg, Sweden, 1982.

10 middle baymiddle bay loading from footsteps”, Journal of
quarter bay
quarter bay Acoustical Soc. of America, Vol. 48 no.5,
1970
1
1 1.25 1.6 2 2.5 3.15 4 5 6.3 8 10 12.5 16 20 25 31.5 40 50 63 80 [10] F.C. Har per, “The mechanics of walking”,
Research Appl. In Industry, Vol. 15, no.1,
Figure19. Vibration level of different location
1962.

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