基于贝塞尔曲线的液力变矩器三维叶片造型方法

发布时间：2018-08-17 13:29

【摘要】：为满足液力变矩器三维流动设计的需要,解决传统基于一维束流理论叶片造型方法精度差、适应性低的缺点,提出基于贝塞尔曲线及保形变换的三维叶片造型方法。叶片二维型线由骨线叠加厚度分布的形式构造,叶片骨线和厚度均由两段三次贝塞尔曲线构成。为实现直接通过关键几何参数进行叶片设计,建立叶片几何参数与贝塞尔曲线控制点之间的数学关系式。利用保形变换方法进行叶片二维型线与三维曲线间的无误差转换,将二维叶片型线投影到循环圆环面生成三维叶片曲线,然后再堆叠三维曲线以构造叶片实体。新型叶片造型方法能够实现二阶导数连续、曲率连续的叶片曲线设计,从而提高了叶片液力性能,同时改善了叶片造型精度及适应性。利用新型造型方法对原始液力变矩器叶片进行优化设计,结果表明,新方法优化后的叶片液力性能要明显优于初始叶片,验证了新方法的可行性。
[Abstract]:In order to meet the need of 3D flow design of hydraulic torque converter and solve the disadvantages of low accuracy and low adaptability of traditional blade modeling method based on one-dimensional beam theory, a 3D blade modeling method based on Bezier curve and conformal transformation was proposed. The 2-D blade profile is constructed by the form of bone line superposition thickness distribution. The blade bone line and thickness are composed of two sections of cubic Bessel curve. In order to design the blade directly through the key geometric parameters, the mathematical relationship between the blade geometric parameters and the control points of the Bessel curve is established. Using the conformal transformation method, the error-free transformation between two dimensional blade profile and three dimensional curve is carried out. The two dimensional blade profile is projected to the circular surface to generate three dimensional blade curve, and then the three dimensional curve is stacked to construct the blade entity. The new blade modeling method can realize the blade curve design with continuous second derivative and continuous curvature, thus improving the blade hydraulic performance and improving the blade modeling accuracy and adaptability. The new modeling method is used to optimize the blade design of the original hydraulic torque converter. The results show that the hydraulic performance of the blade optimized by the new method is obviously better than that of the initial blade, which verifies the feasibility of the new method.
【作者单位】：北京理工大学机械与车辆学院;北京理工大学车辆传动国家重点实验室;
【基金】：国防科工局基础产品创新科研(VTDP-2104) 总装预研(40402050202)资助项目
【分类号】：TH137.332

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