Engineering oriented shape optimization of GHT-Bézier developable surfaces using a meta heuristic approach with...

Area of Science:

• Engineering and CAD/CAM
• Computational Geometry
• Optimization Techniques

Background:

• Optimization is crucial for designing free-form surfaces and manufactured products.
• Real-world engineering challenges often employ optimization with objective functions.

Purpose of the Study:

• To present the shape optimization of GHT-Bézier developable surfaces using the Improved-Grey Wolf Optimization (I-GWO) technique.
• To find optimal shape control parameters for improved surface design.

Main Methods:

• Utilized the Improved-Grey Wolf Optimization (I-GWO) meta-heuristic algorithm.
• Formulated optimization models based on arc length (AL), minimum energy (En), and curvature variation energy (CVEn) of dual and interpolation curves.
• Employed an iterative process to determine optimal shape control parameters.

Main Results:

• Successfully applied the I-GWO technique to optimize GHT-Bézier developable surfaces.
• The construction of these surfaces was formulated using optimal shape parameters derived from I-GWO.
• The developability degree of the resulting surfaces was determined.

Conclusions:

• The I-GWO technique provides an effective method for the shape optimization of GHT-Bézier developable surfaces.
• The proposed approach enhances surface design and manufacturing processes in engineering.
• Demonstrated practical applications and the effectiveness of the developed method.