Is this project an undergraduate, graduate, or faculty project?
Undergraduate
Project Type
group
Campus
Daytona Beach
Authors' Class Standing
Cassandra Pumphrey, Lola Torres, Senior Jadyn Peterson, Rumi Barsotti
Lead Presenter's Name
Lola Torres
Lead Presenter's College
DB College of Arts and Sciences
Faculty Mentor Name
Dr. Hemanta Kunwar
Abstract
The Trajectory of a badminton Shuttlecock can vary significantly when compared to a classic projectile motion, primarily due to aerodynamic drag. This project aims to model the flight of the shuttlecock using Newton's second law for gravitational and drag related forces, resulting in a nonlinear system of a first order differential equation. The given parameters include the shuttlecock mass, cross-sectional area, air density, as well as the drag coefficient, determining the overall magnitude of the drag force. The resulting initial value problem is solved numerically using a multitude of Runge_Kutta methods to compare the accuracy and stability across different computational approaches. To evaluate the effectiveness of the numerical methods used in this study, both physical and numerical comparisons are performed. The shuttlecock trajectory is compared to the classical projectile model without drag; the comparison highlights the dominant role of drag in the shuttlecock motion Varying the initial condition such as the initial velocity or launch angle can be applied to simulate different badminton shots; this includes clears, smashes and drops shots. The project aims to illustrate the numerical results for strong aerodynamic effects and how the trajectory deviates from a simple parabolic path. The outcomes will demonstrate the effectiveness of the Runge-Kutta method when solving nonlinear physical systems and provide insights for the flight behavior of badminton shuttlecocks.
Did this research project receive funding support (Spark, SURF, Research Abroad, Student Internal Grants, Collaborative, Climbing, or Ignite Grants) from the Office of Undergraduate Research?
No
Included in
Aerodynamics and Fluid Mechanics Commons, Numerical Analysis and Computation Commons, Ordinary Differential Equations and Applied Dynamics Commons
Numerical Modeling of Badminton Shuttlecock Trajectories
The Trajectory of a badminton Shuttlecock can vary significantly when compared to a classic projectile motion, primarily due to aerodynamic drag. This project aims to model the flight of the shuttlecock using Newton's second law for gravitational and drag related forces, resulting in a nonlinear system of a first order differential equation. The given parameters include the shuttlecock mass, cross-sectional area, air density, as well as the drag coefficient, determining the overall magnitude of the drag force. The resulting initial value problem is solved numerically using a multitude of Runge_Kutta methods to compare the accuracy and stability across different computational approaches. To evaluate the effectiveness of the numerical methods used in this study, both physical and numerical comparisons are performed. The shuttlecock trajectory is compared to the classical projectile model without drag; the comparison highlights the dominant role of drag in the shuttlecock motion Varying the initial condition such as the initial velocity or launch angle can be applied to simulate different badminton shots; this includes clears, smashes and drops shots. The project aims to illustrate the numerical results for strong aerodynamic effects and how the trajectory deviates from a simple parabolic path. The outcomes will demonstrate the effectiveness of the Runge-Kutta method when solving nonlinear physical systems and provide insights for the flight behavior of badminton shuttlecocks.