任毅如, 向锦武. 基于拓扑优化的直升机旋翼桨叶剖面设计[J]. 工程力学, 2014, 31(5): 244-250. DOI: 10.6052/j.issn.1000-4750.2012.12.0941
引用本文: 任毅如, 向锦武. 基于拓扑优化的直升机旋翼桨叶剖面设计[J]. 工程力学, 2014, 31(5): 244-250. DOI: 10.6052/j.issn.1000-4750.2012.12.0941
REN Yi-ru, XIANG Jin-wu. CROSS SECTION DESIGN OF HELICOPTER ROTOR BLADE BASED ON TOPOLOGY OPTIMIZATION[J]. Engineering Mechanics, 2014, 31(5): 244-250. DOI: 10.6052/j.issn.1000-4750.2012.12.0941
Citation: REN Yi-ru, XIANG Jin-wu. CROSS SECTION DESIGN OF HELICOPTER ROTOR BLADE BASED ON TOPOLOGY OPTIMIZATION[J]. Engineering Mechanics, 2014, 31(5): 244-250. DOI: 10.6052/j.issn.1000-4750.2012.12.0941

基于拓扑优化的直升机旋翼桨叶剖面设计

CROSS SECTION DESIGN OF HELICOPTER ROTOR BLADE BASED ON TOPOLOGY OPTIMIZATION

  • 摘要: 提出了一种基于拓扑优化的直升机旋翼桨叶剖面设计方法。采用了有限元方法计算直升机旋翼桨叶剖面刚度特性, 截面考虑了剪切和翘曲变形, 并消除了翘曲位移和刚体位移之间的耦合作用。基于SIMP拓扑优化算法, 以旋翼桨叶平均柔度或者剖面刚度为设计目标, 桨叶重量为约束函数, 建立了旋翼桨叶拓扑优化模型。提出的敏度求解算法具有较高的计算精度, 采用序列线性规划算法对旋翼桨叶剖面进行优化设计。结果表明在展长较小并且承受均布升力载荷情况下, Ⅱ型截面梁的柔度最小, 而当展长增大时, 工字梁截面具有最小的柔度。此外, 旋翼桨叶外载荷等对优化结果也有较大的影响。提出的拓扑优化方法适合于概念设计阶段的直升机旋翼桨叶剖面设计。

     

    Abstract: A cross section design method of a helicopter rotor blade based on topology optimization is proposed. The stiffness characteristics of a 2-D cross section are given using the finite element method. Both of shear and warping deformations are considered, and the coupling of warping deformation and rigid displacement is eliminated. The averaged compliance of a rotor beam or the stiffness of a cross section is adopted as the objective function. An optimization problem is solved based on SIMP algebraic with the rotor weight constraint condition. The derivative of an objective function is obtained, and Sequence Linear Program (SLP) is used. The results show that the averaged compliance of a Ⅱshape cross section is minimum when a rotor beam with a small span. An H beam would be the best when its span increases. In addition, final optimization results would be influenced by the load boundary condition. This method is suited for the design of the cross section of helicopter rotor blades in their concept design phase.

     

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