A Noise-Immune Kalman Filter and Modelling forPedestrian Traffic Loads

Yanan Gao,Yun Dong,Ningbo Peng,Peng Zhang,Jitao Tang,Weidong Zhang,Ye Zhu,Jiarui Chen,Wai-On Wong

doi:10.1155/2020/8848910

Abstract

The definition of design load with walking crowd excitation on these slender structures is a significant problem to human-induced vibration. To capture the characteristics of walking crowd loads, this article researches both the ground reaction force and ground reaction moment for 36 healthy adults. Firstly, a oscillate system modeling walking leg is used to build a governing equation, which further transformed into the discrete state space. Then the Kalman method is applied to filter the noises for the measured ground reaction force, which can well remove the noises hiding in the measured signals. In addition, the Fourier series are used to model the ground reaction force and ground reaction moment, and the first six corresponding coefficients are obtained and analyzed. This work comprehensively explores the excitation force and moment from walking pedestrian feet. The result of this study provides the reference of load design for these slender structures such as footbridges, grandstands, or stations under crowd excitation.

Highlights

Is work comprehensively investigates the three-dimensional spatial ground reaction force (GRF) and ground reaction moment (GRM) induced by walking pedestrian feet and extracts the corresponding mechanical characteristics, based on the measurements with a total of 36 healthy young adults
The Kalman filtering method concentrating on the walking leg model is applied to remove the adverse noises from the measured rough data so as to improve the signal-to-noise ratio on the measured ground reaction forces
The statistical characteristics of dynamic load factor (DLF) and dynamic moment factor (DMF) are comprehensively studied, so the loading models from the ground reaction forces and moments are established to describe the standard forcing models on these structures enduring on the walking crowd excitation

Summary

Introduction

Is work comprehensively investigates the three-dimensional spatial ground reaction force (GRF) and ground reaction moment (GRM) induced by walking pedestrian feet and extracts the corresponding mechanical characteristics, based on the measurements with a total of 36 healthy young adults. In order to establish the Kalman filter [15] for ground reaction force (GRF), the pedestrian is simplified as a mechanical model with one upper body and lower moving leg (Figure 1).

Results

Conclusion