SUI Yun-kang,YI Gui-lian.A discussion about choosing an objective function and constraints in structural topology optimization[C]∥10th World Congress on Structural and Multidisciplinary Optimization,May 19-24,2013.Orlando,Florida:International Society for Structural and Multidisciplinary Optimization(ISSMO).
[2]
SIGMUND O.A 99 line topology optimization code written in MATLAB[J].Structure and Multidisciplinary Optimization,2001,21(2):120-127.
[3]
SIGMUND O.Morphology-based black and white filters for topology optimization[J].Structure and Multidisciplinary Optimization,2007,33(4/5):401-424.
CHU D N,XIE Y M,STEVEN G P.An evolutionary structural optimization method for sizing problem with discrete design variables[J].Computer structure,1998,68(4):419-431.
[6]
NAVARRINA F,MUINOS I,COLOMINAS I,et al.Topology optimization structures:a minimum weight approach with stress constraints[J].Advances in Engineering Software,2005,36(9):599-606.
[7]
BRUGGI M,DUYSINX P.Topology optimization for minimum weight with compliance and stress constraints[J].Structure and Multidisciplinary Optimization,2012,46(3):369-384.
[8]
BOJCZUK D,REBOSZ-KURDEK A.Topology optimization of trusses using bars exchange method[J].Bulletin of the Polish Academy of Science-Technical Science,2012,60(2):185-189.
[9]
KUMAR A V,GOSSARD D C.Synthesis of optimal shape and topology of structures[J].Journal of Mechanical Design,1996,118(1):68-74.
[10]
LIANG Q Q,XIE Y M,STEVEN G P.Optimal topology selection of continuum structures with displacement constraints[J].Computers and Structures,2000,77(6):635-644.
[11]
BURGER M,STAINKO R.Phase-field relaxation of topology optimization with local stress constraints[J].SIAM Journal on Control and Optimization,2006,45(4):1447-1466.
[12]
BIAN B C,PENG G M,SUI Y K.Application of the structural topological optimization in the column stability design[J].Applied Mechanics and Materials,2010,37/38:190-193.
[13]
OHSAKI M,FUJISAWA K,KATOH N,et al.Semidefinite programming for topology optimization of trusses under multiple eigenvalue constraints[J].Computer Methods in Applied Mechanics and Engineering,1999,180(1/2):203-217.
[14]
BENDSE M P,SIGMUND O.Topology optimization:theory,methods and application[M].2nd ed.New York:Springer Berlin Heidelberg,2003.
[15]
HIBBELER R C.Structural analysis[M].8th ed.New Jersey:Pearson Prentice Hall,2012.
[16]
FLEURY C.A unified approach to structural weight minimization[J].Computer Methods in Applied Mechanics and Engineering,1979,20(1):17-38.
[17]
FLEURY C.An efficient optimality criteria approach to the minimum weight design of elastic structures[J].Computers and Structures,1980,11(3):163-173.
[18]
KIKUCHI N,NISHIWAKI S,FONSECA J S O,et al.Design optimization method for compliant mechanisms and material microstructure[J].Computer Methods in Applied Mechanics and Engineering,1998,151(3/4):401-417.
[19]
LIN C Y,CHAO L S.Automated image interpretation for integrated topology and shape optimization[J].Structure and Multidisciplinary Optimization,2000,20(2):125-137.
[20]
KUMAR A V,PARTHASARATHY A.Topology optimization using B-spline finite elements[J].Structure and Multidisciplinary Optimization,2011,44(4):471-481.
