Related Experiment Video
Updated: Apr 18, 2026

05:52
Lower-Limb Biomechanical Characteristics Associated with Unplanned Gait Termination Under Different Walking Speeds
Published on: August 25, 2020
5.2K
Predicting the probability of slip in gait: methodology and distribution study
1a Department of Mechanical Engineering , Texas Tech University , Lubbock , TX , 79409 , USA.
Computer Methods in Biomechanics and Biomedical Engineering
|January 8, 2015
Summary
This study simplifies slip probability calculations by reducing a double integral to a single integral. It introduces a numerical method, the trapezoidal method, for accurate gait slip prediction, considering various friction distributions.
Area of Science:
- Biomechanics and Human Movement Analysis
- Friction and Tribology
- Risk Assessment and Safety Engineering
Background:
- Classical slip and fall analysis relied on static friction thresholds.
- Previous models for slip probability in gait often oversimplified friction variations.
- Existing research lacked empirical data on slip probability across diverse friction conditions.
Purpose of the Study:
- To modify the slip probability equation from a double to a single integral.
- To introduce and validate a numerical integration technique for slip prediction.
- To analyze the impact of friction distribution assumptions on slip probability.
Main Methods:
- Developed a modified slip probability equation using a single integral.
- Employed the trapezoidal method for numerical integration of slip probability.
- Investigated the influence of various probability distributions for available and required friction.
Main Results:
- The trapezoidal method demonstrated high accuracy and efficiency for slip probability calculation.
- Slip probability is significantly sensitive to the distributions of available and required friction.
- Results challenge the assumption of normally distributed friction coefficients in slip analysis.
Conclusions:
- The proposed single-integral method and trapezoidal technique offer a more flexible and accurate approach to predicting gait slip probability.
- The study provides a framework for incorporating diverse friction distributions into slip risk assessment.
- A critical slip probability value is proposed based on daily step counts for enhanced safety guidelines.

