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叶轮机械级几何参数的最优化设计
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摘要:
在研究非线性数学规划条件极值问题求解方法的基础上,将最优化设计计算方法用于径,轴流涡轮以及压气机级叶片几何参数和1元气动热力学最优化设计对径,轴流涡轮的最优化设计命题建立了完善的物理模型和数学表达式,采用SUMT外点法将有不等式约束条件极值问题处理成无约束最优化设计问题,并用DFP并轭方向法求解,文中提供了径轴流涡轮1元最优化设计的算例,本方法还可以方便地通过改变待优化目标函数推广到其他工程的最优
关键词:  叶轮机械 最优化设计 几何参数
DOI:
基金项目:国家自然科学基金
Optimum Design on Geometrics Parameters of Impeller Stage
Abstract:
On the basis of conditional extreme value of non-linear mathematical programming,the optimum design method was applied in the design on geometric parameters and one-dimension pneumatic thermodynamics of axial or radial turbine and compressor. The complete physical model and mathematical expressions were developed for axial or radial turbine optimum design. By using the SUMT method, the extreme value problem with inequality constraint conditions was turned into optimum design problem without constraints, and was calculated by DFP conjugate direction method. An example was provided to one-dimension optimum design of axial or radial turbine.
Key words:  impeller machine,stage,optimum design