Mathematical Model to Generate Asymmetric Pulses due to Human Jumping
Publication: Journal of Engineering Mechanics
Volume 135, Issue 10
Abstract
A novel mathematical modeling has been proposed to generate synthetic vertical force signal induced by a single person jumping. This model can replicate much of the temporal and spectral features of the real jumping loading more reliably than the existing half-sine models coupled with Fourier series analysis. This includes lack of symmetry of individual jumping pulses and near-periodic nature of consecutive pulses. The model therefore offers way forward as to the development of a new generation of synthetic narrow-band jumping loads. In these, the shape and frequency content of the jumping force can be changed easily on a jump-by-jump basis, which simulates better on what is happening in reality during human jumping. The synthetic jumping loading can be used in assessing vibration serviceability of civil engineering structures for which such dynamic excitation is relevant, such as assembly structures and concert venues.
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Acknowledgments
The writers thank Mr. Christopher Middleton for his help in collecting the data. Also, the writers acknowledge the financial support provided by the U.K. Engineering and Physical Sciences Research Council (EPSRC) for Grant Nos. UNSPECIFIEDEP/E018734/1 (“Human Walking and Running Forces: Novel Experimental Characterization and Application in Civil Engineering Dynamics”) and UNSPECIFIEDGR/T03017/01 (“Stochastic Approach to Human-Structure Dynamic Interaction”).
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Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 10 • October 2009
Pages: 1206 - 1211
Copyright
© 2009 American Society of Mechanical Engineers.
History
Received: May 7, 2008
Accepted: Mar 18, 2009
Published online: Mar 23, 2009
Published in print: Oct 2009
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