受频率、变形和制造约束的航空发动机风扇叶片状结构的现实叠加序列优化

G. Canale, S. Andrews, F. Rubino, A. Maligno, R. Citarella, P. Weaver
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引用次数: 4

摘要

本文提出了一种优化复合材料扇叶状结构堆积顺序的方法。优化的目的是在考虑变形、频率和应变约束时最小化重量。文献通常涉及飞机机翼或风力涡轮机叶片的堆叠顺序优化,而对航空发动机风扇叶片的关注较少,这是本文的目的。制造约束也在优化过程中实现,以获得可制造结构。复合材料层压板的堆叠顺序可以定制,以驱动变形向所需的形状(潜在地利用不平衡层压板及其各向异性)。在优化航空发动机风扇叶片状结构的堆叠顺序(包括混合/变细)时,必须考虑制造限制,以便将优化过程的结果应用于“现实世界”的设计。定义一个工程程序,能够提供一个良好的设计点,以最大限度地减少风扇叶片状结构在变形(叶尖延伸和解扭)、频率和应变约束下的重量。提出了一种两级优化方法。在第一层,以这样一种方式优化堆叠顺序以最大化刚度(从而最小化变形)。较不严格的限制适用于这种一级优化的约束。在优化的第二步中,搜索堆叠序列的每一层的混合/锥形。风机叶片式结构只加载离心载荷(作用在这类部件上的主要载荷)。为使重量最小化而获得的堆叠顺序包含42.3%的0度纤维,19.25%的45度纤维,19.25%的-45度纤维和19.2%的90度纤维。数值结果部分给出了各层宽度和长度的混合。当风扇叶片状结构仅加载离心力时,为了通过考虑解扭、尖端延伸、频率和完整性约束来最小化重量,层压板中没有必要存在不平衡。经过两步优化,找到了一个“最优”点。这个设计点被认为是一个好的工业设计点,而不是数学意义上的“最优”。这样的“最佳解决方案”设计点已经通过探索其附近的设计空间得到了验证。所有相邻点的性能都被发现更差。对准各向同性层压板和零度主导层压板进行了比较。
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Realistic Stacking Sequence Optimisation of an Aero-Engine Fan Blade-Like Structure Subjected to Frequency, Deformation and Manufacturing Constraints
A procedure to optimise the stacking sequence of a composite fan blade-like structure is proposed in this article. The aim of the optimisation is to minimise weight when respecting deformation, frequency and strain constraints. The literature often deals with stacking sequence optimisation of airplane wings or wind turbine blades whilst less attention has been dedicated to aero-engines fan blades, the objective of the present paper. The manufacturing constraints are also implemented in the optimisation process in order to obtain a manufacturable structure.Stacking sequence of composite laminates can be tailored to drive the deformation towards the desired shape (potentially exploiting unbalanced laminates and their anisotropy). When optimising the stacking sequence (including blending/tapering) of an aero-engine fan blade-like structure, manufacturing constraints must be included in order to apply the results of the optimisation procedure into a “Real World” design.To define an engineering procedure able to provide a good design point to minimise the weight of a fan blade-like structure subjected to deformation (tip extension and untwist), frequency and strain constraints.A two-level optimisation procedure is proposed. At the first level, the stacking sequence is optimised in such a way to maximise stiffness (and therefore to minimise deformation). Less stringent limits are applied to the constraints of such a level 1 optimisation. In the second step of the optimisation, the blending/tapering of each ply of the stacking sequence is searched.The fan blade-like structure is loaded only with a centrifugal load (the main load acting on this kind of components). The stacking sequence obtained to minimise the weight contains 42.3% of 0 degrees fibres, 19.25% of 45 degrees fibres, 19.25% of -45 degrees fibres and 19.2% of 90 degrees fibres. Blending in terms of width and length of each layer is given in the numerical results section.When the fan blade-like structure is loaded with a centrifugal force only, in order to minimise weight by respecting untwist, tip extension, frequency and integrity constraints, no unbalance in the laminate has been found necessary. An “Optimum” point has been found after a two steps optimisation. This design point is claimed as a good industrial design point rather than as “optimum” in the mathematical sense. Such a “Best Solution” design point has been verified by exploring the design space near it. All the performance of the neighbour points has been found worse. A comparison between a quasi-isotropic laminate and a zero degreed dominated laminate has been also performed.
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