Mathematical modelling of near-periodic jumping force signals

A mathematical modelling procedure has been developed to generate synthetic vertical force signals induced by a single person jumping. The ability to replicate much of the temporal and spectral features of real jumping loads gives this model a definite advantage over the conventional half-sine models coupled with Fourier series analysis. This includes modelling of the omnipresent lack of symmetry of individual jumping pulses and beat-by-beat variations in amplitudes and timing. The model therefore belongs to a new generation of synthetic narrow-band jumping loads which simulate reality better. The proposed mathematical concept for characterisation of irregular jumping pulses may be utilised in vibration serviceability assessment of civil engineering assembly structures, such as grandstands, spectator galleries and gym floors, to estimate realistic dynamic structural response due to people jumping. ©2010 Society for Experimental Mechanics Inc.