The data from pedestrians walking on a laterally-oscillating intrumented treadmill [2-4] were used to derive fundamental properties of pedestrian gait. Informed by these findings, a foot palcement control law of the type suggested by Hof et al. [5] was proposed applicable in this context. That law was then parametrised based on pedestrian anatomical and gait characteristics thus generalising the claibrated IPM and making it suitable for use in a predictive rather than just an explanatory manner.
The calibrated and generalised IPM was benchmarked against the empirical data and shown capable of quantitatively capturing pedestrian behaviour on laterally-oscillating structures, including the self-excited forces at the structural oscillation frequency which are critical from the point of view of structural stability. It provides more onoreus eqivalent added damping per pedestrian than the original IPM, hence indicating the importance of calibration process. In a wider context, the calibrated and generalised IPM should enable refinement of the design guidelines against pedestrian-induced lateral structural instability.
More information can be found here:
Czaplewski, B., Bocian, M., Macdonald, J.H.G., Calibration of inverted pendulum pedestrian model for laterally oscillating bridges based on stepping behaviour, Journal of Sound and Vibration, 2024, 572, 118141.
We dedicated the paper to the memory of Prof. John H.G. Macdonald from the University of Bristol, UK, who passed away prematurely in March 2022.
[1] John H.G. Macdonald, Lateral excitation of bridges by balancing pedestrians, Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences, 2009, 465, 2104.
[2] Mateusz Bocian, Determination of the self-excited forces on structures due to walking pedestrians using a biologically inspired approach, PhD Thesis, Department of Civil Engineering & Department of Mechanical Engineering, University of Bristol, UK, 2014.
[3] Mateusz Bocian, John H.G. Macdonald, Jeremy F. Burn, David Redmill, Experimental identification of the behaviour of and lateral forces from freely-walking pedestrians on laterally oscillating structures in a virtual reality environment, Engineering Structures, 2015, 105, p. 62-76.
[4] Mateusz Bocian, Jeremy F. Burn, John H.G. Macdonald, James M.W. Brownjohn From phase drift to synchronisation – pedestrian stepping behaviour on laterally oscillating structures and consequences for dynamic stability, Journal of Sound and Vibration, 2017, 392, p. 382-399.
[5] A.L. Hof, M.G.J. Gazendam, W.E. Sinke, The condition for dynamic stability, Journal of Biomechanics, 2005, 38, 1, p. 1-8.