Journal of Bionic Engineering ›› 2024, Vol. 21 ›› Issue (6): 2804-2816.doi: 10.1007/s42235-024-00599-z

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Thrust and Drag Estimation of a Tensegrity Robotic Tuna by Linear Acceleration Analysis in Terms of Averaged Equation of Motion

Hongzhou Jiang1 · Yanwen Liu2   

  1. 1. School of Mechatronics Engineering, Harbin Institute of Technology, Room 320, Building 2F, No. 2 Yi-Kuang Street, Nan-Gang District, Harbin 150001, China  2. College of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin 150040, China
  • 出版日期:2024-12-20 发布日期:2024-12-17
  • 通讯作者: Hongzhou Jiang E-mail: jianghz@hit.edu.cn
  • 作者简介:Hongzhou Jiang1 · Yanwen Liu2

Thrust and Drag Estimation of a Tensegrity Robotic Tuna by Linear Acceleration Analysis in Terms of Averaged Equation of Motion

Hongzhou Jiang1 · Yanwen Liu2   

  1. 1. School of Mechatronics Engineering, Harbin Institute of Technology, Room 320, Building 2F, No. 2 Yi-Kuang Street, Nan-Gang District, Harbin 150001, China  2. College of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin 150040, China
  • Online:2024-12-20 Published:2024-12-17
  • Contact: Hongzhou Jiang E-mail: jianghz@hit.edu.cn
  • About author:Hongzhou Jiang1 · Yanwen Liu2

摘要: The averaged equation of motion for linear acceleration in the BCF swimming mode was derived using the Elongated Body Theory (EBT) through time averaging. An analytical solution for the linear acceleration swimming velocity was obtained, revealing that the average velocity follows a hyperbolic tangent function of time, which can be considered a semi-empirical formula for linear acceleration swimming. The formula’s parameters, such as the steady swimming velocity and the acceleration time constant, can be determined by conducting experiments on linear acceleration, enabling the estimation of drag coefficient, effective added mass, thrust, and drag force. We developed a tensegrity robotic tuna and conducted a linear acceleration experiment. The results confirmed both the averaged equation of motion and its empirical formula, indicating that the formula is not limited by EBT and can be extended to large amplitude swimming and thunniform swimmers with large aspect ratio caudal fins. This provides researchers with an efficient and easy-to-implement method to estimate the swimming thrust and drag forces through linear acceleration experiments, without the need for complex and expensive flow field and force measurement equipment.

关键词: Body and/or caudal fin · Linear acceleration swimming · Robotic fish · Tensegrity · Thrust · Drag

Abstract: The averaged equation of motion for linear acceleration in the BCF swimming mode was derived using the Elongated Body Theory (EBT) through time averaging. An analytical solution for the linear acceleration swimming velocity was obtained, revealing that the average velocity follows a hyperbolic tangent function of time, which can be considered a semi-empirical formula for linear acceleration swimming. The formula’s parameters, such as the steady swimming velocity and the acceleration time constant, can be determined by conducting experiments on linear acceleration, enabling the estimation of drag coefficient, effective added mass, thrust, and drag force. We developed a tensegrity robotic tuna and conducted a linear acceleration experiment. The results confirmed both the averaged equation of motion and its empirical formula, indicating that the formula is not limited by EBT and can be extended to large amplitude swimming and thunniform swimmers with large aspect ratio caudal fins. This provides researchers with an efficient and easy-to-implement method to estimate the swimming thrust and drag forces through linear acceleration experiments, without the need for complex and expensive flow field and force measurement equipment.

Key words: Body and/or caudal fin · Linear acceleration swimming · Robotic fish · Tensegrity · Thrust · Drag