基于贝赛尔曲线和粒子群算法的涡轮叶片型线参数化建模

Parameter Modeling of Turbine Blade Model Line Construction Based on Bezier Curve and Particle Swarm Optimization Algorithm

建立涡轮叶片型线的参数化模型是进行叶片设计优化的前提和关键。基于三次贝赛尔曲线,充分利用叶片的基本几何参数,详细地推导了叶片型线方程,建立了涡轮叶片型线的参数化模型。基于建立的参数化模型,采用粒子群优化算法来重构实际涡轮叶片型线,给出了具体计算步骤。结果表明:建立的参数化叶片模型光滑性质量高,且具有很好的形状控制能力,可以快速地修改设计参数并再生模型。基于粒子群优化算法重构叶型的方法可以快速准确地重构实际涡轮叶片型线,为涡轮叶片叶型的设计优化奠定了重要基础。

Establishing the parameter model line is the precondition and key process for the design optimization of the turbine blade.According to three cubed Bezier curve,the equations of the turbine blade model lines were calculated detailed by making full use of the basic geometry parameters of the turbine,and the parameterized model lines were established.According to the model,the particle swarm optimization(PSO) algorithm was introduced to help regenerating the actual turbine blade model lines and the detailed algorithm procedures were given in this paper.The results show that,the parameterized model of the turbine displays high smooth performance and excellent capability to control the shape.The method of regenerating the actual blade model lines based on PSO algorithm is efficient and precise.The model and algorithm is important to the design optimization of turbine blade model line.