The ground impact velocity of quadcopters serves as a fundamental metric for evaluating their ground risk classification. Conventional methods for calculating ground impact velocity, including drop tests and simplified damped free-fall approaches, often incur high costs or yield insufficient accuracy. This study proposes a six-degree-of-freedom (6-DOF) model to predict quadcopter ground impact velocity. The mathematical model incorporates quadcopter dynamics and kinematics analysis while accounting for environmental variables. Comparative analysis was conducted between the simulation results of this model, flight test data, and calculations derived from simplified formulas. Results demonstrate that the model predicts ground impact velocity with less than 10% error, significantly outperforming the simplified damped free-fall method in accuracy.

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Quadcopter Mathematical Model Development for Ground Impact Velocity Prediction During Loss of Control

  • Kai Li,
  • Yining Wu,
  • Kun Lu,
  • Mengdi Ma

摘要

The ground impact velocity of quadcopters serves as a fundamental metric for evaluating their ground risk classification. Conventional methods for calculating ground impact velocity, including drop tests and simplified damped free-fall approaches, often incur high costs or yield insufficient accuracy. This study proposes a six-degree-of-freedom (6-DOF) model to predict quadcopter ground impact velocity. The mathematical model incorporates quadcopter dynamics and kinematics analysis while accounting for environmental variables. Comparative analysis was conducted between the simulation results of this model, flight test data, and calculations derived from simplified formulas. Results demonstrate that the model predicts ground impact velocity with less than 10% error, significantly outperforming the simplified damped free-fall method in accuracy.