基于变密度法的某飞机隔框结构拓扑优化
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摘要
针对航空器设计过程中的结构轻量化需求,设计出具有良好性能的航空结构尤为重要。为实现飞机隔框结构的减重目标,提出了一种基于变密度法的拓扑优化方法。该优化方法利用拉格朗日函数推导了变密度拓扑优化方法,假设构成结构的材料密度与材料的某一个或几个物理参数存在函数关系,计算出各有限元结构对密度的相关程度,按照材料密度相关程度对各单元体密度取值以完成对隔框结构的拓扑处理。拓扑仿真实验中,以某型国产飞机框结构为例,进行某型国产飞机普通隔框的三维建模,对隔框结构模型进行拓扑优化设计分析,实现了载荷位置和载荷形式不变条件下,结构最佳分布形式和结构减重近40%的理论结果,根据拓扑优化结构作出具体分析,并总结了拓扑优化的材料分布规律。
The design of aeronautical structure with good performance is particularly important in view of the lightweight structure requirement in the process of aircraft design. In order to achieve the weight reduction of the aircraft frame structure,a topological optimization method based on the variable density method was proposed. Lagrange function was used to derive the variable density topological optimization method. It was assumed that there was a functional relationship between the material density of the structure and one or several physical parameters of the material. The correlation degree of the finite element structure to the density was calculated. According to the correlation degree of material density, the density of each unit body was obtained to complete the topological treatment of the frame structure. In the topological simulation experiment, an ordinary frame structure of a domestic plane was taken as an example to illustrate the validity of the presented method. After the 3 D modeling of a certain type of domestic aircraft frame, the topological optimization analysis of the frame structure model was immediately completed. Under the same load location and load form, the best distribution form and nearly 40% reduction on structural weight was realized theoretically. Specific analysis on the topological optimization structure was made and the material distribution rule of topological optimization was summarized.
The design of aeronautical structure with good performance is particularly important in view of the lightweight structure requirement in the process of aircraft design. In order to achieve the weight reduction of the aircraft frame structure,a topological optimization method based on the variable density method was proposed. Lagrange function was used to derive the variable density topological optimization method. It was assumed that there was a functional relationship between the material density of the structure and one or several physical parameters of the material. The correlation degree of the finite element structure to the density was calculated. According to the correlation degree of material density, the density of each unit body was obtained to complete the topological treatment of the frame structure. In the topological simulation experiment, an ordinary frame structure of a domestic plane was taken as an example to illustrate the validity of the presented method. After the 3 D modeling of a certain type of domestic aircraft frame, the topological optimization analysis of the frame structure model was immediately completed. Under the same load location and load form, the best distribution form and nearly 40% reduction on structural weight was realized theoretically. Specific analysis on the topological optimization structure was made and the material distribution rule of topological optimization was summarized.
引文
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[2]张冀,邱福生.基于拓扑优化的飞机垂尾设计[J].飞机设计,2010,30(3):31-34.
[3]佟刚,刘同飞,邓扬晨.一种基于拓扑优化的机翼结构设计[J].中国科技纵横,2013(19):64-66.
[4]魏居业.基于疲劳寿命分析的结构拓扑优化设计方法及应用研究[D].杭州:浙江大学,2017:4-6.
[5]张立,邱福生.基于多约束的翼肋拓扑优化[J].工程技术(引文版),2016(12):1-1.
[6]GRIHON S, KROG L, HERTEL K. A380 weight savings using numerical structural optimization[C]//Proceedings of 20th AAAF Colloquium"Material for Aerospace Applications". Paris:[s. n.],2004:2-6.
[7]TAYLOR Y M, THOMAS J E, MACKARON N G, et al. Detail part optimization on the F-35 joint strike fighter[C]//Proceedings of the 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials.[S. l.]:AIAA, 2006:18-68
[8]AMOROSI S. Application of topology, size and shape optimization on the 787 wing leadingedge structure[C]//Proceedings of the2006/2nd Hyper Works Technology Conference. Troy:[s. n.],2006.
[9]邱福生,季武强,徐厚超.基于改进变密度法的飞机垂尾拓扑优化设计研究[J].沈阳航空航天大学学报,2013,30(1):26-29.
[10]印长磊,王英玉.飞机机翼结构型式的拓扑优化[J].江苏航空,2014(3):8-10.
[11]余刚珍.基于ANSYS Workbench的车架结构有限元分析及拓扑优化技术研究[D].哈尔滨:哈尔滨工业大学,2015:25-27.
[12]卜鹤群,姚卫星.结构拓扑优化的一种改进的变密度插值法[J].江苏航空,2011(S1):8-9.