Investigation of 3D Bipedal Spring-Loaded Inverted Pendulum Human Walking Model on Laterally Vibrating Surfaces in the Case of Phase Drift, Phase Pulling, and Synchronization.

Serviceability issues associated with structural lateral vibration are observed frequently, where human–structure interaction (HSI) plays a crucial role. Inverted pendulum (IP) models have attracted much attention from researchers due to their ability to naturally present human mechanical behaviors and significant advantages in studying the mechanisms of HSI. This paper investigates the behaviors of a 3D bipedal spring-loaded inverted pendulum (BSLIP) model while walking on laterally vibrating surfaces. First, we adopt feedback control strategies for the 3D BSLIP human walking model to achieve stable walking. Then, we investigate phase drift, phase pulling, and synchronization behaviors of the human body using the 3D BSLIP. The results indicate that the equivalent damping and mass coefficients of the 3D BSLIP basically agree with the available experimental results from the literature. Compared to the 3D IP model with rigid legs, the equivalent coefficients obtained from the 3D BSLIP exhibit similar ranges and trends as the control parameter increases. Furthermore, the 3D BSLIP and 3D IP models successfully replicate phase pulling and synchronization phenomena. The synchronization phase angles fall within the range of 1 0 2. 9 ∘ – 2 2 8. 9 ∘ for the 3D IP and 2 0 9 ∘ – 3 4 9 ∘ for the 3,D BSLIP model, consistent with the experimental results reported in the existing literature. [ABSTRACT FROM AUTHOR]