Abstract
The tendency in modern architecture to lightweight and slender design of pedestrian structures is leading to an increased susceptibility to vibrations. Correspondingly, the evaluation of serviceability of pedestrian structures against vibrations due to human induced loads has gained more and more importance. Studies investigating corresponding action effects, usually focus on locomotion forms performed on a plane surface, e.g. jumping, running, walking. Information on the loads induced by ascending or descending stairs is scarce. In [1] a load model is presented which is based on a perfect repetitive single-foot load pattern leading to integer harmonic load contributions. Differences in the locomotion parameters for the left and the right foot are not considered leading to a loss of important information.
Based on experiments with a stair test section, this study investigates the load process due to descending and ascending stairs including the imperfections in the locomotion parameters. The dimension of stair rise and tread depth may have an influence on the harmonic load amplitudes. This is analyzed by experiments with different stair geometries. The paper discusses the random deviations in the locomotion process which may lead to additional intermediate harmonic load contributions. Furthermore, the randomness in the vertical load amplitudes in regard to the basic frequency content is analyzed.
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Abbreviations
- vs :
-
Walking speed
- ls :
-
Step length
- fs :
-
Step frequency
- F(t):
-
Force depending on time
- F1(t):
-
Footfall trace induced by one foot
- T1 :
-
Contact period of one foot
- t:
-
Time
- tdsp :
-
Duration of double stance phase
- G:
-
Body weight
- Ts :
-
Step period
- s:
-
Stair rise
- a:
-
Tread depth
- a0 :
-
Constant load share
- an :
-
Fourier coefficient for cosine contributions
- bn :
-
Fourier coefficient for sine contributions
- cn :
-
Harmonic load amplitude
- n:
-
Harmonic
- Ï•n :
-
Phase
- fds :
-
Step frequency of one double step
- fr :
-
Step frequency for the right foot
- fl :
-
Step frequency for the left foot
References
Kerr SC, Bishop NWM (2001) Human induced loading on flexible staircases. Eng Struct 23:37–45
Sahnaci C, Kasperski M (2005) Random loads induced by walking. In: Proceedings of the 6th European conference on structural dynamics 2005, Paris, pp 441–446
DIN 18065 (2011) Gebäudetreppen – Begriffe, Messregeln, Hauptmaße
Agu E, Kasperski M (2011) A statistical approach to horizontal loads due to human rhythmic activity. In: Proceedings of the 8th international conference on structural dynamics 2011, Leuven, pp 994–1001
Acknowledgements
Part of this work has been sponsored by the German Research Foundation under the contract number KA675/13-1. This support is gratefully acknowledged.
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© 2012 The Society for Experimental Mechanics, Inc. 2012
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Kasperski, M., Czwikla, B. (2012). A Refined Model for Human Induced Loads on Stairs. In: Caicedo, J., Catbas, F., Cunha, A., Racic, V., Reynolds, P., Salyards, K. (eds) Topics on the Dynamics of Civil Structures, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2413-0_4
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DOI: https://doi.org/10.1007/978-1-4614-2413-0_4
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