以PV值为优化目标的光学系统支撑结构
李一芒, 周子云, 刘永明. 以PV值为优化目标的光学系统支撑结构[J]. 发光学报, 2019, 40(10): 1303.
LI Yi-mang, ZHOU Zi-yun, LIU Yong-ming. Topology-optimization of Lens Contact Support Structures: PV Value as An Optimization Objective[J]. Chinese Journal of Luminescence, 2019, 40(10): 1303.
[1] CHENG K T,OLHOFF N. An investigation concerning optimal design of solid elastic plates [J]. Int. J. Solids Struct., 1981,17(3):305-323.
[2] BENDSE M P,KIKUCHI N. Generating optimal topologies in structural design using a homogenization method [J]. Comput. Methods Appl. Mech. Eng., 1988,71(2):197-224.
[3] DAZ A R,BENDSE M P. Shape optimization of structures for multiple loading conditions using a homogenization method [J]. Struct. Optim., 1992,4(1):17-22.
[4] SIGMUND O. Design of Material Structures Using Topology Optimization [D]. Denmark:Technical University of Denmark, 1994.
[5] BENDSE M P,SIGMUND O. Material interpolation schemes in topology optimization [J]. Arch. Appl. Mech., 1999,69(9-10):635-654.
[6] STOLPE M,SVANBERGK. An alternative interpolation scheme for minimum compliance topology optimization [J]. Struct. Multidis. Optim., 2001,22(2):116-124.
[7] RIETZ A. Sufficiency of a finite exponent in SIMP (Power law) method [J]. Struct. Multidis. Optim., 2001,21(2):159-163.
[8] HU R,LIU S T,LI Q H. Topology-optimization-based design method of flexures for mounting the primary mirror of a large-aperture space telescope [J]. Appl. Opt., 2017,56(15):4551-4560.
[9] XIE Y M,STEVENG P. A simple evolutionary procedure for structural optimization [J]. Comput. Struct., 1993,49(5):885-896.
[10] QUERIN O M,STEVEN G P,XIE Y M. Evolutionary structural optimisation using an additive algorithm [J]. Finite Elements Anal. Des., 2000,34(3-4):291-308.
[11] QUERIN O M,YOUNG V,STEVEN G P,et al.. Computational efficiency and validation of bi-directional evolutionary structural optimisation [J]. Comput. Methods Appl. Mech. Eng., 2000,189(2):559-573.
[12] LIU X,YI W J,LI Q S,et al.. Genetic evolutionary structural optimization [J]. J. Construct. Steel Res., 2008,64(3):305-311.
[13] OSHER S,SETHIANJ A. Fronts propagating with curvature- dependent speed:algorithms based on Hamilton-Jacobi formulations [J]. J. Comput. Phys., 1988,79(1):12-49.
[14] SETHIAN J A,WIEGMANNA. Structural boundary design via level set and immersed interface methods [J]. J. Comput. Phys., 2000,163(2):489-528.
[15] BELYTSCHKO T,XIAO S P,PARIMIC. Topology optimization with implicit functions and regularization [J]. Int. J. Numer. Methods Eng., 2003,57(8):1177-1196.
[16] WANG M Y,WANG X M,GUO D M. A level set method for structural topology optimization [J]. Comput. Methods Appl. Mech. Eng., 2003,192(1-2):227-246.
[17] LUO J Z,LUO Z,CHEN L P,et al.. A semi-implicit level set method for structural shape and topology optimization [J]. J. Comput. Phys., 2008,227(11):5561-5581.
[18] STRMBERG N,KLARBRING A. Topology optimization of structures in unilateral contact [J]. Struct. Multidis. Optim., 2010,41(1):57-64.
[19] NI J C,WANG C W,ZHANG C C,et al.. Three-dimensional chiral microstructures fabricated by structured optical vortices in isotropic material [J]. Light:Sci. Appl., 2017,6:e17011-1-17.
[20] LIEBETRAUT P,PETSCH S,LIEBESKIND J,et al.. Elastomeric lenses with tunable astigmatism [J]. Light:Sci. Appl., 2013,2:e98-1-6.
[21] WU D,XU J,NIU L G,et al.. In-channel integration of designable microoptical devices using flat scaffold-supported femtosecond-laser microfabrication for coupling-free optofluidic cell counting [J]. Light:Sci. Appl., 2015,4(1):e228-1-8.
[22] LIU S T,HU R,LI Q H,et al.. Topology optimization-based lightweight primary mirror design of a large-aperture space telescope [J]. Appl. Opt., 2014,53(35):8318-8325.
[23] ANDREASSEN E,CLAUSEN A,SCHEVENELS M,et al.. Efficient topology optimization in MATLAB using 88 lines of code [J]. Struct. Multidis. Optim., 2011,43(1):1-16.
[24] SVANBERG K. The method of moving asymptotes—a new method for structural optimization [J]. Int. J. Numer. Methods Eng., 1987,24(2):359-373.
[25] 刘丹,陈启超,黄晟,等. 光刻制程参数对光刻胶DICD和锥角的影响 [J]. 液晶与显示, 2019,34(2):146-154.
[26] 吕志军,张锋,刘文渠,等. 光刻法图案化石墨烯研究 [J]. 液晶与显示, 2019,34(1):33-38.
[27] 张玉虎,李亚文,刘小波,等. 光刻胶段差对光刻图形的影响与改善 [J]. 液晶与显示, 2018,33(8):653-660.
李一芒, 周子云, 刘永明. 以PV值为优化目标的光学系统支撑结构[J]. 发光学报, 2019, 40(10): 1303. LI Yi-mang, ZHOU Zi-yun, LIU Yong-ming. Topology-optimization of Lens Contact Support Structures: PV Value as An Optimization Objective[J]. Chinese Journal of Luminescence, 2019, 40(10): 1303.