Identification of Optimal Movement Patterns for Energy Pumping.

Area of Science:

• Sports Science
• Biomechanics
• Physics

Background:

• Energy pumping enhances kinetic energy through vertical center of mass movement in sports like skateboarding, skicross, snowboard cross, and BMX.
• While the energy transfer mechanism is understood, optimal energy transfer strategies remain an open research question.

Purpose of the Study:

• To model athlete's center of mass movement during energy pumping using an inverse pendulum model.
• To determine the optimal movement pattern for maximizing horizontal speed through an optimal control problem formulation.

Main Methods:

• An inverse pendulum model was developed to represent the athlete's center of mass motion.
• The problem was solved as a discretized optimal control problem using a Sequential Quadratic Programming (SQP) algorithm.

Main Results:

• The optimal energy pumping movement pattern involves distinct jumping, flying, and landing phases requiring precise timing.
• Maximal horizontal speed is influenced by parameters such as roller height and the athlete's maximal normal force.

Conclusions:

• Optimal energy pumping performance is achieved by applying maximal force with exact and proper timing of the movement pattern.
• Findings offer practical advice for athletes and coaches to enhance performance in relevant sports.