Osculating Curved Waverider Design via Shock Cone Envelopes

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Solution Overview

Problem

Conventional waverider design methods are reverse designs that indirectly generate the leading edge, resulting in poor design accuracy and limited control over the aerodynamic performance of hypersonic aircraft, especially when dealing with complex leading edges.

Innovation Solution

A direct design method for generating an osculating curved waverider based on a complex leading edge, which involves determining discrete points on the leading edge, drawing small shock cones, finding the envelope surfaces to obtain the shock curved surface, and using this to generate the waverider, providing an analytical expression for the shock surface.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Manufacturing precision

If conventional reverse design methods are used to generate the leading edge indirectly through shock surface and flow capture tube, then the design process can be completed, but the design accuracy deteriorates and control over aerodynamic performance is limited

Engineering Contradiction:
Improvedesign accuracyVSAvoiddesign process complexity
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The patent inverts the conventional reverse design approach by establishing a direct design method where the leading edge is given as input and the shock surface is generated as output. This inversion allows precise control of the leading edge geometry to achieve desired aerodynamic performance, resolving the contradiction between design accuracy and process complexity.

Inventive Principle:
Principle #13The other way round (Inversion)

Solution Approach 2:

The patent segments the leading edge into discrete points and uses these segmented points to construct the shock surface through small shock cones. This segmentation enables precise control of the leading edge geometry while simplifying the computational process, thereby improving design accuracy without excessive complexity.

Inventive Principle:
Principle #1Segmentation

2Measurement precision

If numerical methods are used to solve the osculating cone waverider design based on complex leading edge, then the design can be performed, but the calculation accuracy deteriorates and design time increases

Engineering Contradiction:
Improvecalculation accuracyVSAvoiddesign time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent replaces numerical computational methods with analytical geometric methods. By using analytical expressions to describe the shock surface and envelope surfaces, the patent achieves high calculation accuracy while significantly reducing design time compared to iterative numerical solutions.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent changes the approach from numerical parameter optimization to analytical parameter derivation. By deriving closed-form solutions for the shock surface and envelope surfaces based on the leading edge geometry, the patent eliminates the need for time-consuming numerical iterations while maintaining high precision.

Inventive Principle:
Principle #35Parameter changes

3Device complexity

If the curvature of the leading edge is ignored in the design method, then the design process is simplified, but the design accuracy deteriorates and the method remains a reverse design

Engineering Contradiction:
Improvedesign process simplicityVSAvoiddesign accuracy
Core Design Contradiction:
Device complexityVSManufacturing precision

Solution Approach 1:

The patent applies local quality by considering the curvature characteristics of the leading edge at different locations. The method incorporates the curvature of the leading edge into the design equations, allowing each section of the leading edge to contribute its local geometric properties to the overall shock surface formation, thereby improving accuracy without excessive complexity.

Inventive Principle:
Principle #3Local quality

Data Source

PatentUS12122534B2Direct design method for generating osculating curved wave-rider based on complex leading-edge profile
Publication Date: 2024.10.22 BEIHANG UNIV
  • US12122534B2 patent drawing
  • US12122534B2 patent drawing
  • US12122534B2 patent drawing

AI summary

A direct design method for generating an osculating curved waverider based on a complex leading edge, includes obtaining a leading edgeleading edge through determining a leading edge of a waverider according to a spread length, a front-to-rear length, and a sweep angle at each position of an aircraft, and arranging leading-edge discrete points on the leading edgeleading edge; drawing a small shock cone corresponding to each leading-edge discrete point by starting from each leading-edge discrete point, taking a local shock angle as a half cone angle and taking a free streamline direction as an axis; finding envelope surfaces of all small shock cones, namely, a shock curved surface corresponding to the leading edgeleading edge; generating a waverider by using the osculating curved waverider design method.