优化设计 |
|
|
|
|
考虑结构稳定性的变密度拓扑优化方法 |
张日成1, 赵炯1, 吴青龙1, 熊肖磊1, 周奇才1, 焦洪宇1,2 |
1. 同济大学 机械与能源工程学院, 上海 201804;
2. 常熟理工学院 汽车工程学院, 江苏 苏州 215500 |
|
Variable density topology optimization method considering structural stability |
ZHANG Ri-cheng1, ZHAO Jiong1, WU Qing-long1, XIONG Xiao-lei1, ZHOU Qi-cai1, JIAO Hong-yu1,2 |
1. School of Mechanical Engineering, Tongji University, Shanghai, 201804, China;
2. School of Automotive Engineering, Changshu Institute of Technology, Suzhou 215500, China |
引用本文:
张日成, 赵炯, 吴青龙, 熊肖磊, 周奇才, 焦洪宇. 考虑结构稳定性的变密度拓扑优化方法[J]. 工程设计学报, 2018, 25(4): 441-449.
ZHANG Ri-cheng, ZHAO Jiong, WU Qing-long, XIONG Xiao-lei, ZHOU Qi-cai, JIAO Hong-yu. Variable density topology optimization method considering structural stability[J]. Chinese Journal of Engineering Design, 2018, 25(4): 441-449.
链接本文:
https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn.1006-754X.2018.04.011
或
https://www.zjujournals.com/gcsjxb/CN/Y2018/V25/I4/441
|
[1] |
焦洪宇,周奇才,李文军,等.基于变密度法的周期性拓扑优化[J].机械工程学报,2013,49(13):132-138. JIAO Hong-yu, ZHOU Qi-cai, LI Wen-jun, et al. Periodic topology optimization using variable density method[J]. Journal of Mechanical Engineering, 2013, 49(13):132-138.
|
[2] |
BROWNE P A, BUDD C, GOULD N, et al. A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints[J]. International Journal for Numerical Methods in Engineering, 2012, 92(12):1026-1043.
|
[3] |
ZHOU M. Topology optimization for shell structures with linear buckling responses[C]//World Congress on Computational Mechanics in Conjunction with the Second Asian-Pacific Congress on Computational Mechanics, Beijing, Sept.5-10, 2004.
|
[4] |
隋允康,边炳传.屈曲与应力约束下连续体结构的拓扑优化[J].工程力学,2008,25(8):6-12. SUI Yun-kang, BIAN Bing-chuan. Topology optimization of continuum structures under buckling and stress constraints[J]. Engineering Mechanics, 2008, 25(8):6-12.
|
[5] |
隋允康,边炳传,叶红玲.连续体结构屈曲约束的ICM方法拓扑优化[J].计算力学学报,2008,25(3):345-351. SUI Yun-kang, BIAN Bing-chuan, YE Hong-ling. Topological optimization of the continuum structure subjected to the buckling constraints with ICM method[J]. Chinese Journal of Computational Mechanics, 2008, 25(3):345-351.
|
[6] |
GUO X, CHENG G, YAMAZAKI K. A new approach for the solution of singular optima in truss topology optimization with stress and local buckling constraints[J]. Structure Multidiscipline Optimization, 2001, 22(5):364-372.
|
[7] |
LUND E. Buckling topology optimization of laminated multi-material composite shell structures[J]. Composite Structures, 2009, 91(2):158-167.
|
[8] |
程耿东,郭旭.考虑局部稳定性约束的桁架拓扑优化设计[J].大连理工大学学报,1995,35(6):770-775. CHENG Geng-dong, GUO Xu. Inverstigation of truss topology optimization under local buckling constraints[J]. Journal of Dalian University of Technology, 1995, 35(6):770-775
|
[9] |
高兴军.稳定性约束下连续体结构两尺度拓扑优化[D].广州:华南理工大学工木与交通学院,2015:46-47. GAO Xing-jun. Two-scale topology optimization of continuum structures under buckling constraints[D]. Guangzhou:South China University of Technology, School of CML Engineering and Transportation, 2015:46-47.
|
[10] |
NEVES M M, RODRIGUES H, GUEDES J M. Generalized topology design of structures with a buckling load criterion[J]. Structural Optimization, 1995, 10(2):71-78.
|
[11] |
NEVES M M, SIGMUND O, BENDSØE M P. Topology optimization of periodic microstructures with a penalization of highly localized buckling modes[J]. International Journal for Numerical Methods in Engineering, 2002, 54(6):809-834.
|
[12] |
SIGMUND O, BENDSOE M P. Material interpolations schemes in topology optimization[J]. Archive of Applied Mechanics, 1999, 69(9/10):635-654.
|
[13] |
MARTINEZ J M. A note on the theoretical convergence properties of the SIMP method[J]. Structural & Multidisciplinary Optimization, 2005, 29(4):319-323.
|
[14] |
王勖成.有限单元法[M].北京:清华大学出版社,2003:30-50. WANG Xu-cheng. Finite element method[M]. Beijing:Tsinghua University Press, 2003:30-50.
|
[15] |
CLOUGH R W. Dynamics of structures[M]. New York:McGraw-Hill, 1993:366.
|
[16] |
EDWARD L. Wilson. Three-dimensional static and dynamic analysis of structures[M]. Berkley:Computer & Structures, Inc., 1996:9-11.
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|