A Method of Generating the Shape of Pneumatic Components Based on Curvature

Abstract

The invention discloses a method for generating the shape of an aerodynamic component based on curvature. The method of the present invention comprises the following steps: preset the initial profile curve of the pneumatic component; perform NURBS curve parametric expression on the initial profile curve to obtain node vectors and control point coordinates of the NURBS interpolation curve expressing the initial profile curve; calculate the interpolation curve relative Based on the first-order derivative and second-order derivative of the node vector, and then obtain the curvature; according to whether the curvature of the interpolation curve is consistent with the target shape curve, decide whether to continue the iterative operation or output the current interpolation curve; if the iterative operation continues, use the target shape curve The curvature, the node vector and the first derivative can be used to obtain a new second derivative value, and further calculations can be made to obtain the new control point coordinates, and then together with the node vector, a new interpolation curve is formed. The invention can efficiently and quickly calculate and obtain the entire shape curve of the pneumatic component meeting the design target, and has extremely high efficiency.

Description

technical field [0001] The invention relates to the field of aerodynamic design, in particular to a method for generating the shape of an aerodynamic component based on curvature. Background technique [0002] For aerodynamic components such as aircraft wings, empennages, and noses, the curvature has a very direct relationship with their aerodynamic characteristics. In aerodynamic design work, the most important parameter is pressure distribution, which determines the characteristics of lift, drag, moment and flow separation of aerodynamic components. [0003] A basic requirement of aerodynamic design is that the curvature is continuous. Only when the curvature is continuous can the pressure distribution not change abruptly and flow separation will not easily occur. Not only that, the distribution shape of the curvature will also directly affect the shape of the pressure distribution. Whether the curvature distribution is reasonable is the premise of whether the pressure di...

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Problems solved by technology

[0006] The technical problem to be solved by the present invention is to overcome the parametric design method for pneumatic components in the prior art, the relationship between the aerodynamic characteristics of the components is not intuitive and clear enough, and the optimization process required to obtain the ideal pressure distribution consumes a lot of time. A very long-standing defect, a method for generating the shape of aerodynamic components based on curvature

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