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Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior
Published on: April 13, 2016
Motions induced by asymmetric vibrations. The solid/solid case
A Buguin1, F Brochard, P-G de Gennes
1Institut Curie, 26 rue d'Ulm, 75248, Paris Cedex 05, France.
The European Physical Journal. E, Soft Matter
|February 1, 2006
Summary
When a plate vibrates asymmetrically, a coin on it can drift. This study analyzes the vibration threshold, high-amplitude behavior, and effects of plate imperfections on coin motion.
Area of Science:
- Physics
- Nonlinear Dynamics
- Tribology
Background:
- Macroscopic motion of objects on vibrating surfaces is a complex phenomenon.
- Dry friction plays a critical role in the dynamics of interacting bodies.
- Asymmetrical periodic acceleration can induce unexpected directional movement.
Purpose of the Study:
- To theoretically investigate the drift velocity of a coin on a horizontally vibrating plate.
- To analyze the influence of vibration asymmetry and amplitude on coin motion.
- To explore the impact of surface inhomogeneities on the observed drift.
Main Methods:
- Theoretical analysis of coin dynamics under periodic acceleration.
- Investigation of dry friction effects.
- Mathematical modeling of vibration thresholds and amplitude-dependent behavior.
Main Results:
- A critical vibration threshold was identified below which no net drift occurs.
- The drift velocity exhibits distinct behaviors at low and high vibration amplitudes.
- Plate inhomogeneities can introduce significant complications to the predicted motion.
Conclusions:
- Asymmetrical vibrations can lead to directed macroscopic motion of a coin due to dry friction.
- The study provides a theoretical framework for understanding this phenomenon.
- Understanding these dynamics has implications for various physical systems involving friction and vibration.
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