Direct design method for generating osculating curved wave-rider based on complex leading-edge profile

Patent metadata

Field	Value
Publication number	US-2024199229-A1
Application number	US-202117908895-A
Country	US
Kind code	A1
Filing date	Sep 7, 2021
Priority date	May 24, 2021
Publication date	Jun 20, 2024
Grant date	—

Abstract

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.

First claim

1 . A direct design method for generating an osculating curved waverider based on a complex leading edge, comprising the steps of:
step 1: 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; step 2: 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; step 3: finding envelope surfaces of all small shock cones, namely, a shock curved surface corresponding to the leading edgeleading edge; step 4: generating a waverider by using the osculating curved waverider design method.

2 . The direct design method for generating an osculating curved waverider based on a complex leading edge of claim 1 , wherein the method for obtaining the shock curved surface in step 3 further comprising the steps of:
step 3-1: making the small shock cone obtained in step 2 intersect with a bottom plane perpendicular to the flow direction, thereby obtaining a series of bottom circles; subsequently, setting a i-th leading-edge discrete point to be P i (x i , y i , z i ), then a radius r i of the corresponding bottom circle being: r i =−x i tan β i , (1), wherein x i , y i , z i are the coordinates of the leading-edge discrete point and β i is the shock angle; step 3-2: drawing a common tangent circle of each three adjacent bottom circles, wherein center of the common tangent circle is a curvature center of an approximate conical flow field corresponding to the leading-edge discrete point, and a radius of the common tangent circle is a curvature radius of the approximate conical flow field; step 3-3: determining the approximate flow plane corresponding to the i-th leading-edge discrete point according to the i-th leading-edge discrete point, the corresponding common tangent circle center and the bottom circle center; step 3-4: connecting the i-th leading-edge discrete point with the tangent point of the corresponding common tangent circle and the bottom circle, thereby obtaining the i-th generatrix of the shock curved surface; step 3-5: going through all leading-edge discrete points by repeating steps 3-2 to 3-4, thereby obtaining the centers, radii, and tangent points of all common tangent circles corresponding to all leading-edge discrete points; step 3-6: connecting all generatrices obtained in step 3-4 into a ruled surface, namely, the shock curved surface corresponding to the leading edgeleading edge.

3 . The direct design method for generating an osculating curved waverider based on a complex leading edge of claim 2 , wherein in mathematics, drawing a common tangent circle of each three adjacent bottom circles belongs to Apollonius' problem, and the initial equation group is:

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Assignees

• Univ Beihang

Inventors

• Jiang chongwen
• Li Zhihao
• Hu Shuyao
• Xu Chenhao
• Gao Zhenxun
• Li Chunxuan

Classifications

• B64F5/00 Primary

  Designing, manufacturing, assembling, cleaning, maintaining or repairing aircraft, not otherwise provided for; Handling, transporting, testing or inspecting aircraft components, not otherwise provided for · CPC title

• Y02T90/00

  Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation · CPC title