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变弯度机翼外形与拓扑分步优化设计

王巍,王浩,周艾,冯贺   

  1. 沈阳航空航天大学
  • 收稿日期:2023-12-18 修回日期:2024-03-11 出版日期:2024-03-14 发布日期:2024-03-14
  • 通讯作者: 王浩
  • 基金资助:
    航空科学基金;辽宁省自然科学基金

Hybrid optimization design for shape and topology of variable camber wing

  • Received:2023-12-18 Revised:2024-03-11 Online:2024-03-14 Published:2024-03-14
  • Contact: Hao WANG
  • Supported by:
    Aeronautical Science Foundation of China;Natural Science Foundation of Liaoning Province

摘要: 针对变弯度机翼气动优化和轻量化的设计要求,提出了气动外形与结构拓扑分步优化设计。该设计以机翼气动优化的计算结果为基础,通过变密度法建立机翼前后缘拓扑优化设计结构。提出了一种六参数描述机翼外形的参数化方法,通过B样条曲线进行局部修正,采用遗传算法对气动外形进行优化。基于优化后的机翼气动外形采用变密度拓扑优化算法建立RAMP插值模型,设计前后缘拓扑结构与机翼展向模型。通过3D打印技术对前后缘变弯度机翼拓扑结构进行加工并开展变形试验。气动仿真结果表明,六参数变弯度翼型的变形区间最大且外形连续光滑。与基础机翼相比,优化后的机翼在起飞过程中升阻比提高了35.7%,巡航状态下升阻比提高4.4%。通过变形试验结果得出前缘拓扑结构等效偏转角为9.37°,后缘拓扑结构等效偏转角为9.18°,偏转效果良好,验证了气动外形与拓扑分步优化设计的可行性。

关键词: 变弯度机翼, 六参数化方法, 气动优化, 遗传算法, 拓扑优化

Abstract: A stepwise optimal design of aerodynamic shape and structural topology is proposed to meet the requirements of aero-dynamic optimization and lightweight design for variable camber wings. Based on the results of aerodynamic optimization, the topology optimal structure of the leading and trailing edge of the wing is established by the variable density method. A six-parameter parameterization method is proposed to describe the wing shape, and local correction is performed using B-spline curve and the aerodynamic shape is optimized by the genetic algorithm. Based on the optimized aerodynamic shape of the wing, a variable density topology optimization algorithm is employed to establish a RAMP interpolation model, the leading and trailing edge topology structures and wing spanwise models are designed. Using 3D printing technology, the topology structure of variable camber wing with the leading and trailing edge is processed and the deformation tests are conducted. The aerodynamic simulation results show that the deformation range of a six parameter variable curva-ture airfoil is maximum and its shape is continuous and smooth. Compared with the basic airfoil, the lift-drag ratio of the optimized wing increases by 35.7% during take-off and by 4.4% during cruise. The deformation test results show that experimental results show that the equivalent deflection angles of leading edge and trailing edge are respectively 9.37 ° and 9.18 ° , and the deflection effect is significant, which verifies the feasibility of stepwise optimization of aerodynamic shape and topology.

Key words: variable camber airfoil, six-parameterization method, aerodynamic optimization, genetic algorithm, topology optimi-zation

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