[1] 中国空间技术研究院. 东方红3A卫星平台[EB/OL]. (2015-07-31)[2020-08-01]. https://www.cast.cn/news/2875. China Academy of Space Technology. Satellite platform of Red East 3A[EB/OL]. (2015-07-31)[2020-08-01]. https://www.cast.cn/news/2875 (in Chinese). [2] 牛飞, 王博, 程耿东. 基于拓扑优化技术的集中力扩散结构设计[J]. 力学学报, 2012, 44(3):529-563. NIU F, WANG B, CHENG G D. Optimum topology design of structural part for concentration force transmission[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(3):529-563(in Chinese). [3] 张家鑫, 王博, 牛飞, 等. 分级型放射肋短壳结构集中力扩散优化设计[J]. 计算力学学报, 2014, 31(2):141-148. ZHANG J X, WANG B, NIU F, et al. Optimal design of concentrated force diffusion for short shell structure using hierarchical radial ribs[J]. Chinese Journal of Computational Mechanics, 2014, 31(2):141-148(in Chinese). [4] 金栋平, 纪斌. 机翼后缘柔性支撑结构的拓扑优化[J]. 航空学报, 2015, 36(8):2681-2687. JIN D P, JI B. Topology optimization of flexible support structure for trailing edge[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(8):2681-2687(in Chinese). [5] 朱继宏, 郭文杰, 张卫红, 等. 多组件结构系统布局拓扑优化中处理组件干涉约束的惩罚函数方法[J]. 航空学报, 2016, 37(12):3721-3733. ZHU J H, GUO W J, ZHANG W H, et al. A penalty function based method for dealing with overlap constraints in integrated layout and topology optimization design of multi-component systems[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(12):3721-3733(in Chinese). [6] 张明, 刘文斌, 李闯, 等. 优化驱动的起落架结构设计方法[J]. 航空学报, 2015, 36(3):857-864. ZHANG M, LIU W B, LI C, et al. Optimization-driven design method of landing gear structure[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(3):857-864(in Chinese). [7] 牛飞. 结构拓扑优化设计若干问题的建模、求解及解读[D]. 大连:大连理工大学, 2013:95-105. NIU F. Modeling, solution and interpretation of several structural topological optimum designs[D]. Dalian:Dalian University of Technology, 2013:95-105(in Chinese). [8] 张家鑫. 集中力扩散结构的优化设计[D]. 大连:大连理工大学, 2014:36-48. ZHANG J X. Design optimization of concentrated force diffusions structures[D]. Dalian:Dalian University of Technology, 2014:36-48(in Chinese). [9] GAO T, QIU L, ZHANG W H. Topology optimization of continuum structures subjected to the variance constraint of reaction forces[J]. Structural and Multidisciplinary Optimization, 2017, 56(4):755-765. [10] NIU C, ZHANG W H, GAO T. Topology optimization of continuum structures for the uniformity of contact pressures[J]. Structural and Multidisciplinary Optimization, 2019, 60(1):185-210. [11] CAO Y, GU X, ZHU J H, et al. Precise output loads control of load-diffusion components with topology optimization[J]. Chinese Journal of Aeronautics, 2020, 33(3):933-946. [12] 张晓颖, 李林生, 吴会强, 等. 薄壁贮箱集中力扩散研究[J]. 强度与环境, 2016, 43(5):38-44. ZHANG X Y, LI L S, WU H Q, et al. Research on concentrated force diffusion for weld thin-wall tank[J]. Structure & Environment Engineering, 2016, 43(5):38-44(in Chinese). [13] 梅勇, 冯韶伟, 雷勇军, 等. 捆绑联接舱段集中力扩散结构优化设计[J]. 机械设计与制造, 2016(3):200-203. MEI Y, FENG S W, LEI Y J, et al. Structural optimization of the concentrated force diffusion structure in strap-on linkage section[J]. Machinery Design & Manufacture, 2016(3):200-203(in Chinese). [14] SCHRAMM U, ZHOU M. Recent developments in the commercial implementation of topology optimization[C]//IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials. Dordrecht:Springe, 2006:239-248. [15] VATANABE S L, LIPPI T N, LIMA C R D, et al. Topology optimization with manufacturing constraints:A unified projection-based approach[J]. Advances in Engineering Software, 2016, 100(10):97-112. [16] LI H, LI P, GAO L, et al. A level set method for topological shape optimization of 3D structures with extrusion constraints[J]. Computer Methods in Applied Mechanics and Engineering, 2015, 283:615-635. [17] ALLAN R G, CASPER S A. An explicit parameterization for casting constraints in gradient driven topology optimization[J]. Structural and Multidisciplinary Optimization, 2011, 44(6):875-881. [18] ZHU J H, GU X J, ZHANG W H, et al. Structural design of aircraft skin stretch-forming die using topology optimization[J]. Journal of Computational & Applied Mathematics, 2013, 246(1):278-288. [19] LIU S T, LI Q H, CHEN W J, et al. H-DGTP-a Heaviside-function based directional growth topology parameterization for design optimization of stiffener layout and height of thin-walled structures[J]. Structural and Multidisciplinary Optimization, 2015, 52(5):903-913. [20] 覃琨, 方宗德, 卞翔,等. 基于MATLAB的机械零件拓扑优化结果几何重构研究[J]. 机械科学与技术, 2013, 32(11):65-68. QIN K, FANG Z D, BIAN X, et al.CAD model reconstruction from topology optimization results based on MATLAB process[J]. Mechanical Science and Technology for Aerospace Engineering, 2013, 32(11):65-68(in Chinese). [21] 葛文杰, 黄杰, 杨方. 拓扑优化技术及其在汽车设计中的应用[J]. 机床与液压, 2007, 35(8):11-14. GE W J, HUANG J, YANG F. Topology optimization technology and its utility in automotive industry[J].Machine Tool & Hydraulics, 2007, 35(8):11-14(in Chinese). [22] 张伟伟, 高传强, 叶正寅. 气动弹性计算中网格变形方法研究进展[J]. 航空学报, 2014, 35(2):303-319. ZHANG W W, GAO C Q, YE Z Y. Researchprogress on mesh deformation method in computational aeroelasticity[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(2):303-319(in Chinese). [23] 唐静, 邓有奇, 马明生, 等. 飞翼气动优化中参数化和网格变形技术[J]. 航空学报, 2015, 36(5):1480-1490. TANG J, DENG Y Q, MA M S, et al. Parameterization and grid deformation techniques for flying-wing aerodynamic optimization[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(5):1480-1490(in Chinese). [24] LI L, YUAN T, Li Y, et al. Multidisciplinary design optimization based on parameterized free-form deformation for single turbine[J]. AIAA Journal, 2019, 57(5):2075-2087. [25] MARTIN-BURGOS M J, GONZÁLEZ-JUÁREZ D, ANDRÉS-PÉREZ E. A novel surface mesh deformation method for handling wing-fuselage intersections[J]. Chinese Journal of Aeronautics, 2017, 30(1):264-273. [26] ZHANG W H, WANG D, YANG J. A parametric mapping method for curve shape optimization on 3D panel structures[J]. International Journal for Numerical Methods in Engineering, 2010, 84(4):485-504. [27] WANG D, ZHANG W H. A bispace parameterization method for shape optimization of thin-walled curved shell structures with openings[J]. International Journal for Numerical Methods in Engineering, 2012, 90(13):1598-1617. [28] LIU X, QIN N, XIA H. Fast dynamic grid deformation based on Delaunay graph mapping[J]. Journal of Computational Physics, 2006, 211(2):405-423. [29] TAO J, SUN G, SI J, et al. A robust design for a winglet based on NURBS-FFD method and PSO algorithm[J]. Aerospace Science and Technology, 2017, 70:568-577. [30] RENDALL T C S, ALLEN C B. Efficient mesh motion using radial basis functions with data reduction algorithms[J]. Journal of Computational Physics, 2009, 228(17):6231-6249. [31] WANG G, CHEN X, LIU Z K. Mesh deformation on 3D complex configurations using multistep radial basis functions interpolation[J]. Chinese Journal of Aeronautics, 2018, 31(4):660-671. [32] SIGMUND O. On the design of compliant mechanisms using topology optimization[J]. Journal of Structural Mechanics, 1997, 25(4):493-524. [33] BOURDINB. Filters in topology optimization[J]. International Journal for Numerical Methods in Engineering, 2001, 50(9):2143-2158. [34] AAGE N, LAZAROV B S. Parallel framework for topology optimization using the method of moving asymptotes[J]. Structural and Multidisciplinary Optimization, 2013, 47(4):493-505. [35] ALEXANDERSEN J, SIGMUND O, AAGE N. Large scale three-dimensional topology optimization of heat sinks cooled by natural convection[J]. International Journal of Heat and Mass Transfer, 2016, 100(9):876-891. [36] LAZAROV B S, SIGMUND O. Filters in topology optimization based on Helmholtz-type differential equations[J]. International Journal for Numerical Methods in Engineering, 2011, 86(6):765-781. [37] BENDSØE M P. Optimal shape design as a material distribution problem[J]. Structural Optimization, 1989, 1(4):193-202. [38] ROZVANY G I N. Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics[J]. Structural and Multidisciplinary Optimization, 2001, 21(2):90-108. [39] GUEST J K, PRÉVOST J H, BELYTSCHKO T. Achieving minimum length scale in topology optimization using nodal design variables and projection functions[J]. International Journal for Numerical Methods in Engineering, 2004, 61(2):238-254. [40] SVANBERG K. The method of moving asymptotes-A new method for structural optimization[J]. International Journal for Numerical Methods in Engineering, 1987, 24(2):359-373. [41] JIN R, CHEN W,SIMPSON T W. Comparative studies of metamodelling techniques under multiple modelling criteria[J]. Structural and Multidisciplinary Optimization, 2001, 23(1):1-13. |