A spectral density approach for modelling continuous vertical forces on pedestrian structures due to walking

Canadian Journal of Civil Engineering - Tập 31 Số 1 - Trang 65-77 - 2004
James Brownjohn1, Aleksandar Pavić2, Piotr Omenzetter3
1School of Civil and Environmental Engineering, Nanyang Technological University, Singapore
2Senior Lecturer in Structural Engineering, Department of Civil and Structural Engineering, University of Sheffield, UK
3Research Fellow, School of Civil and Environmental Engineering, Nanyang Technological University, Singapore

Tóm tắt

Existing walking models used for vibration serviceability assessment of structures carrying pedestrians are typically based on measurements of single footfalls replicated at precise intervals. This assumed perfect periodicity allows walking forces to be modelled as a Fourier series based on the walking pace and its integer multiples. This paper examines real continuous walking forces obtained from an instrumented treadmill and the effect of their random imperfections through time simulations of structural response and shows that there are significant differences between responses due to the imperfect real walking forces and the equivalent perfectly periodic simulation. These differences are most significant for higher harmonics where the simulated vibration response is overestimated. As a realistic representation of imperfect walking is an auto-spectral density function, the random character naturally leads to a stochastic approach to treatment of pedestrian loading applied in the frequency domain. The approach can be used for single pedestrians as well as crowd loading where correlation between pedestrians as well as statistics of their pacing rates is used.Key words: vibration, coherence, loading, footbridges, gait, floors, pedestrians, spectral density.

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Thông tin xuất bản

Canadian Journal of Civil Engineering

Tập 31 Số 1

65-77

Thông tin tác giả