Calculation of Bending and Contact Strength for Bevel Gears Using MATLAB's GUI Interface

In the field of mechanical design, calculating the bending and contact strength of bevel gears is a critical process that directly affects the reliability and lifespan of gear transmission systems. MATLAB provides powerful GUI (Graphical User Interface) development tools that enable engineers to quickly build computational interfaces, simplifying the input of complex formulas and facilitating visual analysis of results.

### Bending Strength Calculation Approach Bevel gear bending strength calculations typically rely on classical mechanical formulas, requiring consideration of factors such as root stress concentration and load distribution. In MATLAB's GUI interface, input parameter modules can be implemented using uicontrol functions to capture variables like gear modulus, number of teeth, and material properties. Through callback functions (e.g., ButtonDownFcn or Callback properties), these parameters are substituted into calculation formulas to compute root bending stress. The interface can display safety factors and failure risk warnings through plots or numerical displays using MATLAB's graphics functions like plot() or uitable().

### Contact Strength Calculation Implementation Contact strength calculations focus more on tooth surface contact stress, involving Hertzian contact theory. The GUI interface can integrate dynamic parameter adjustment features using interactive components like sliders (uislder) and dropdown menus (uidropdown). For instance, different lubrication conditions or surface roughness values can be input to observe real-time changes in contact stress trends through live data visualization. Results can be presented as stress contour plots using contourf() or pcolor() functions, or generated as comprehensive reports for comparing different design solutions.

### Interface Design Optimization To enhance user experience, the GUI interface should adopt a zonal layout: Input Zone: Implement dropdown menus, sliders, or text boxes with unit conversion capabilities using unit management functions; Calculation Zone: Use uibutton components to trigger computations with progress bar indicators (waitbar) to improve interactivity; Output Zone: Combine tables (uitable) and 2D/3D graphics (plot3, surf) to display key results. Through MATLAB's App Designer tool, data export functionality can be achieved using writetable() or save() functions, facilitating collaboration with other CAE software. This integrated design approach significantly improves the efficiency and accuracy of bevel gear analysis.