Closed-form long-term solutions of calibrated and generalised Macdonald’s model for pedestrian-induced lateral forces
2024-05-19

The closed form solutions of the long-term average pedestrian lateral forces generated from the inverted pendulum pedestrian model (IPM) originally proposed by John H.G. Macdonald were derived by Allan McRobie. Having calibrated and generalised the IPM, we have now derived the closed-form solutions of the long-term average pedestrian lateral forces based on the same framework.


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[3] 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, 118141.
[4] Czaplewski, B. & Bocian, M., Long-term solutions to calibrated and generalised Macdonald's model for pedestrian-induced lateral forces, Journal of Sound and Vibration, 2024, 118494.