Mathematical Model Construction of the Bionic Irregular Surface of Turtle Shell

Area of Science:

• Bionics and Biomimetics
• Mechanical Engineering
• Surface Morphology Analysis

Background:

• Rice transplanters face challenges with mud and water resistance due to their floating plate design.
• The irregular surface of a turtle shell offers potential solutions for improved hydrodynamics and reduced resistance.

Purpose of the Study:

• To mathematically model the turtle plastron surface for bionic design applications.
• To investigate the feasibility of applying turtle shell morphology to enhance rice transplanter floating plates.

Main Methods:

• Acquired 3D point cloud data of a Brazilian turtle's plastron using a 7-axis measuring machine and Geomagic Studio.
• Segmented, filtered, and performed polynomial fitting on the data using CATIA and MATLAB.
• Evaluated model accuracy using sum of squared errors (SSE), root mean square error (RMSE), and coefficient of determination (R²).

Main Results:

• Developed valid mathematical models of four distinct turtle plastron surfaces.
• Achieved mean relative errors within the acceptable ±5% engineering tolerance for front, rear, and side models.
• Successfully transformed biological surface morphology into a usable mathematical representation.

Conclusions:

• The bionic application of turtle shell surface morphology provides a theoretical basis for designing improved rice transplanter floating plates.
• Mathematical modeling of biological surfaces enables effective biomimetic engineering solutions.
• This research offers a reference for developing more efficient agricultural machinery through bionic design principles.