Curved Winglet with Varying Radius Curvature for Stress Distribution
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Solution Overview
Problem
Existing winglet designs primarily focus on aerodynamic considerations, neglecting structural integrity and ease of assembly, which can lead to shock formation and uneven stress distribution.
Innovation Solution
A winglet design with a varying radius of curvature, decreasing initially, remaining constant, and then increasing, optimized to ensure a smooth stress distribution and mitigate shock formation, using Euler spiral curves and a method that accounts for structural loading in addition to aerodynamics.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If a planar winglet blade with a short curved transition zone is used, then aerodynamic considerations are satisfied, but shock formation occurs at the junction and stress distribution becomes uneven
Solution Approach 1:
The winglet employs a curved transition zone with a specific radius of curvature (R) that connects the planar winglet blade to the wing tip. This curvature mitigates shock formation at the junction and enables smooth stress distribution throughout the structure, replacing the previously sharp angular connection.
Solution Approach 2:
The design specifies precise geometric parameters for the transition zone, including the radius of curvature (R) and its relationship to the winglet chord length (c). By optimizing these parameters (R ≥ 0.1c), the design achieves both structural integrity and aerodynamic performance.
2Reliability
If the radius of curvature decreases along the entire winglet, then aerodynamic performance improves, but structural stress distribution deteriorates
Solution Approach 1:
The transition zone employs a non-uniform radius of curvature that varies along its length. The radius decreases from the wing tip toward the winglet blade, creating different curvature characteristics in different regions. This local variation optimizes both aerodynamic flow and structural stress distribution.
Solution Approach 2:
The curved transition zone with varying radius of curvature creates a smooth gradual transition from the wing tip to the winglet blade. This curvature profile is specifically designed to eliminate shock formation while maintaining favorable stress distribution throughout the structure.
3Ease of operation
If a detachable winglet design is used, then ease of assembly improves, but additional structural considerations are required
Solution Approach 1:
The winglet is designed as a detachable component that can be separated from the wing tip. This segmentation allows for easier assembly and maintenance while the curved transition zone ensures that structural integrity is maintained during operation. The detachable design accommodates different assembly configurations.
Data Source
AI summary
A winglet 3 has an inner end 5 and an outer 7. The winglet 3 has a varying radius of curvature (R) which:(i) decreases along the winglet over a first distanced1; (ii) remains constant over a second distanced2; and (iii) increases along the winglet 3 over a third distance d3. The sum of the first and third distances (d1+d3) is greater than the second distance (d2). The radius of curvature may vary according to the equation R=k1/dn. The parameter n may be equal to 1, such that the curvature follows an Euler spiral.