Optimization Design of Large Scale Wing Size via Refined Finite Element Model
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摘要: 在虚拟试验构建的精细有限元模型基础上,开展了大型机翼尺寸优化设计技术的研究。通过对不同工况模型中的载荷进行转换,构建了统一的优化模型;采用翼梁、翼肋的站位,将机翼主翼盒自动划分为不同的设计区域,并根据每个设计区域特点定义了优化变量和设计约束。利用满应力优化算法对机翼进行了尺寸优化设计,达到13.3%的减重效果。算例表明,利用精细有限元模型进行尺寸优化的方案是可行的,由此产生的优化模型构建问题可通过相关模型处理技术得以解决。Abstract: Based on the refined finite element model constructed by using the virtual test, the study on the optimization design of large scale wing is carried out. A unified optimization model is constructed by transforming the loads of different working condition models. Using the spar and rib positions, the main wing box is automatically divided into the different design regions, and the optimization variables and design constraints are defined according to the characteristics of each design region. The wing size is optimized by using the full stress optimization algorithm to achieve a weight reduction rate of 13.3%. A numerical example shows that the optimization of the wing size by using the refined finite element model is feasible, and the modeling problems can be solved by dealing the related model.
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Key words:
- wing /
- refined finite element model /
- size optimization /
- virtual test
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表 1 部分优化变量
部位 变量名称 初值/mm 下限值/mm 上限值/mm 梁腹板
厚度V1040 2.5 1.25 3.75 V1041 2.5 1.25 3.75 翼肋腹板
厚度V1081 2.5 1.25 3.75 V1082 2.5 1.25 3.75 蒙皮厚度 V1101 3.3 1.65 4.95 V1102 3.3 1.65 4.95 V1103 3 1.5 4.5 V1104 3 1.5 4.5 -
[1] 黄勇, 李三平. 民用飞机结构强度设计中的全机精细有限元分析技术及其应用[J]. 计算机辅助工程, 2018, 27(3): 35-38, 53 https://www.cnki.com.cn/Article/CJFDTOTAL-JSFZ201803008.htmHUANG Y, LI S P. Global detailed finite element analysis technique and its application in structural strength design of civil aircraft[J]. Computer Aided Engineering, 2018, 27(3): 35-38, 53 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JSFZ201803008.htm [2] 万春华, 段世慧, 聂小华, 等. 大型航空结构有限元数值模拟方法研究[J]. 机械科学与技术, 2018, 37(5): 816-820 doi: 10.13433/j.cnki.1003-8728.20180021WAN C H, DUAN S H, NIE X H, et al. Study on finite element modeling for large aircraft structures[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(5): 816-820 (in Chinese) doi: 10.13433/j.cnki.1003-8728.20180021 [3] 余雄庆, 欧阳星, 邢宇, 等. 机翼结构重量预测的多学科分析优化方法[J]. 航空学报, 2016, 37(1): 235-243 https://www.cnki.com.cn/Article/CJFDTOTAL-HKXB201601018.htmYU X Q, OUYANG X, XING Y, et al. Weight prediction method of wing-structure using multidisciplinary analysis and optimization[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(1): 235-243 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-HKXB201601018.htm [4] 邢宇, 余雄庆. 桁架支撑机翼布局客机的机翼质量计算[J]. 机械设计与制造工程, 2018, 47(2): 83-86 https://www.cnki.com.cn/Article/CJFDTOTAL-JXZZ201802019.htmXING Y, YU X Q. The wing mass estimation for commercial aircraft with truss-braced wing configuration[J]. Machine Design and Manufacturing Engineering, 2018, 47(2): 83-86 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JXZZ201802019.htm [5] ZHANG K S, HAN Z H, GAO Z J, et al. Constraint aggregation for large number of constraints in wing surrogate-based optimization[J]. Structural and Multidisciplinary Optimization, 2019, 59(2): 421-438 doi: 10.1007/s00158-018-2074-4 [6] VENTER G, SOBIESZCZANSKI-SOBIESKI J. Multidisciplinary optimization of a transport aircraft wing using particle swarm optimization[J]. Structural and Multidisciplinary Optimization, 2004, 26(1): 121-131 [7] 段世慧, 刘钢, 孙侠生, 等. 飞机结构多层次优化设计技术及COMPASS[J]. 强度与环境, 2010, 37(1): 22-29 https://www.cnki.com.cn/Article/CJFDTOTAL-QDHJ201001005.htmDUAN S H, LIU G, SUN X S, et al. A multi-level optimization design technology for aeronautical structure in COMPASS[J]. Structure & Environment Engineering, 2010, 37(1): 22-29 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-QDHJ201001005.htm [8] 张仲桢. 机翼盒段结构优化分析[J]. 民用飞机设计与研究, 2013(1): 42-47 https://www.cnki.com.cn/Article/CJFDTOTAL-MYFJ201301017.htmZHANG Z Z. The structural optimization analysis of wing box[J]. Civil Aircraft Design & Research, 2013(1): 42-47 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-MYFJ201301017.htm [9] 柯志强, 崔卫军, 廉伟. 某型飞机翼盒结构多约束优化设计[J]. 民用飞机设计与研究, 2015(2): 20-23 https://www.cnki.com.cn/Article/CJFDTOTAL-MYFJ201502008.htmKE Z Q, CUI W J, LIAN W. Multi-constrained optimization design of wing box for some aircraft[J]. Civil Aircraft Design & Research, 2015(2): 20-23 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-MYFJ201502008.htm [10] 闫亚斌, 雷江龙, 杨华伦. 基于MSC Nastran的优化技术[J]. 计算机辅助工程, 2013, 22(S1): 235-239 https://www.cnki.com.cn/Article/CJFDTOTAL-JSFZ2013S1058.htmYAN Y B, LEI J L, YANG H L. Optimization technology based on MSC Nastran[J]. Computer Aided Engineering, 2013, 22(S1): 235-239 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JSFZ2013S1058.htm [11] 湛岚. 大型客机外形参数化与机翼气动结构多学科优化[D]. 南京: 南京航空航天大学, 2009ZHAN L. Parametric configuration model for of civil jet and integrated aerodynamic/structural design of wings[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2009 (in Chinese) [12] 姜铁良. 飞机翼面结构快速参数化建模方法与布局优化设计[D]. 大连: 大连理工大学, 2013JIANG T L. Fast parametric modeling method and layout optimization design of wing structure[D]. Dalian: Dalian University of Technology, 2013 (in Chinese) [13] 姜小波, 张汉, 郑玉龙, 等. 某型机翼翼梁结构优化设计研究[J]. 机械科学与技术, 2018, 37(4): 652-656 doi: 10.13433/j.cnki.1003-8728.2018.0425JIANG X B, ZHANG H, ZHENG Y L, et al. Study on structural optimization design of a certain type wing spar[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(4): 652-656 (in Chinese) doi: 10.13433/j.cnki.1003-8728.2018.0425 [14] 郭文杰, 聂小华, 王立凯, 等. 大展弦比无人机翼梁结构刚度优化设计[J]. 航空科学技术, 2018, 29(12): 8-13 https://www.cnki.com.cn/Article/CJFDTOTAL-HKKX201812003.htmGUO W J, NIE X H, WANG L K, et al. Stiffness optimization design of a high aspect-ratio UAV wing beam[J]. Aeronautical Science & Technology, 2018, 29(12): 8-13 (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-HKKX201812003.htm [15] 《飞机设计手册》总编委会分主. 飞机设计手册 第9册: 载荷、强度和刚度[M]. 北京: 航空工业出版社, 2001General Editorial Board of Aircraft Design Manual. Aircraft design handbook book 9: load strength and stiffness[M]. Beijing: Aviation Industry Press, 2001 (in Chinese)