Mathematical model to generate near-periodic human jumping force signals

Mechanical Systems and Signal Processing

Volumn 24, Issue 1, 2010, Pages 138-152

  Racic, V ^a   Pavic, A ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

Civil engineering; Floors; Footbridges; Forces; Grandstands; Jumping; Loading; Modelling; Stadia; Vibration serviceability

Indexed keywords

FORCES; GRANDSTANDS; JUMPING; MODELLING; STADIA; VIBRATION SERVICEABILITY;

CIVIL ENGINEERING; COMPUTER SIMULATION; DYNAMIC RESPONSE; FLOORS; FOOTBRIDGES; FOURIER ANALYSIS; FOURIER SERIES; HARMONIC ANALYSIS; STADIUMS;

MATHEMATICAL MODELS;

EID: 70349287547     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2009.07.001     Document Type: Article

References (25)

1. Bachmann H., and Ammann W. Vibrations in Structures Induced by Man and Machines (1987), IABSE-AIPC-IVBH, Zürich, Switzerland
2. Glackin M. Stadia design rethink prompted by Cardiff fiasco. Building (2000) 11
3. Reynolds P., and Pavic A. Vibration performance of a large cantilever grandstand during an international football match. ASCE Journal of Performance of Constructed Facilities 20 (2006) 202-212
4. H. Bachmann, A. Petlove, H. Rainer, Dynamic forces from rhythmical human body motions, in: Vibration Problems in Structures: Practical Guidelines, Appendix G, Birkhauser, Basel, Switzerland, 1995.
5. Ellis B.R., and Ji T. The Response of Structures to Dynamic Crowd Loads, Digest 426 (2004), British Standards Institution, London, UK
6. Sim J.H.H., Blakeborough A., and Williams M. Statistical model of crowd jumping loads. ASCE Journal of Structural Engineering 134 12 (2008) 1852-1861
7. Brownjohn J.M.W., Pavic A., and Omenzetter P. A spectral density approach for modelling continuous vertical forces on pedestrian structures due to walking. Canadian Journal of Civil Engineering 31 (2004) 65-77
8. BS 6399-1: 1996 incorporating amendment No. 1. Code of practice for dead and imposed loads, British Standards Institution, London, UK, 2002.
9. J.H.H. Sim, Human-structure interaction in cantilever stands, Ph.D. Thesis, Faculty of Engineering, The University of Oxford, UK, 2006.
10. Canadian Commission on Building and Fire Codes, User's Guide - NBC 2005: Structural Commentaries (Part 4 of Division B), National Research Council Canada, Institute for Research in Construction, Ottawa, Canada, 2006.
11. Rainer J.H., Pernica G., and Allen D.E. Dynamic loading and response of footbridges. Canadian Journal of Civil Engineering 15 (1988) 66-71
12. Ebrahimpour A., and Sack R.L. Modeling dynamic occupant loads. Journal of Structural Engineering 115 (1989) 1476-1496
13. Pernica G. Dynamic load factors for pedestrian movements and rhythmic exercises. Canadian Acoustics 18 (1990) 3-18
14. S.C. Kerr, Human induced loading on staircases, Ph.D. Thesis, Mechanical Engineering Department, University College London, UK, 1998.
15. IStructE/DCLG/DCMS Working Group, Dynamic performance requirements for permanent grandstands subject to crowd action: recommendations for management, design and assessment, The Institution of Structural Engineers, The Department for Communities and Local Government and The Department for Culture Media and Sport, London, 2007.
16. Zivanovic S., Pavic A., and Reynolds P. Probability-based prediction of multi-mode vibration response to walking excitation. Engineering Structures 29 6 (2007) 942-954
17. McSharry P.E., Clifford G.D., Tarassenko L., and Smith L.A. A dynamical model for generating synthetic electrocardiogram signals. IEEE Transactions of Biomedical Engineering 50 (2003) 289-294
18. AMTI Product Manuals, Advanced Mechanical Technology, Watertown, USA, 2007.
19. Parkhouse J.G., and Ewins D.J. Crowd-induced rhythmic loading. Structures & Buildings 159 (2006) 247-259
20. Hamill J., and McNiven S.L. Reliability of selected ground reaction force parameters during walking. Human Movement Science 9 (1990) 117-131
21. Rodano R., and Squadrone R. Stability of selected lower limb joint kinetic parameters during vertical jump. Journal of Applied Biomechanics 18 (2002) 83-89
22. Montgomery D.C., and Runger G.C. Applied Statistics and Probability for Engineers. second ed. (1999), Wiley, Inc., New York
23. McConnell K. Vibration Testing - Theory and Practice (1995), Wiley, Inc., New York
24. Newland D.E. An Introduction to Random Vibrations, Spectral and Wavelet Analysis. third ed. (1993), Pearson Education Limited, Harlow, Essex, UK
25. Bates D.M., and Watts D.G. Nonlinear Regression and Its Applications (1998), Wiley, New York