An engineering method for complex structural optimization involving both size and topology design variables

[1]  Ole Sigmund,et al.  Giga-voxel computational morphogenesis for structural design , 2017, Nature.

[2]  Xu Guo,et al.  Integrated size and topology optimization of skeletal structures with exact frequency constraints , 2014 .

[3]  Shenyan Chen,et al.  Optimum Design of a Space Frame and its Application in Satellite Structure , 2010 .

[4]  Ian A. Ashcroft,et al.  Hierarchical remeshing strategies with mesh mapping for topology optimisation , 2017 .

[5]  Uri Kirsch,et al.  Optimal Topologies of Structures , 1989 .

[6]  Gengdong Cheng,et al.  Discussion on symmetry of optimum topology design , 2011 .

[7]  Qi Xia,et al.  Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review , 2016, Archives of Computational Methods in Engineering.

[8]  H. Huang,et al.  Two-level multipoint constraint approximation concept for structural optimization , 1995 .

[9]  Hai Huang,et al.  Optimal design of composite sandwich structures by considering multiple structure cases , 2016 .

[10]  H. Huang,et al.  Numerical accuracy of the multi-point approximation and its application in structural synthesis , 1998 .

[11]  Hai Huang,et al.  Simultaneous optimization of stacking sequences and sizing with two-level approximations and a genetic algorithm , 2015 .

[12]  George I. N. Rozvany,et al.  A critical review of established methods of structural topology optimization , 2009 .

[13]  Hai Huang,et al.  Topology and Sizing Optimization for Frame Structures with a Two-Level Approximation Method , 2017 .

[14]  Xiaoming Wang,et al.  A level set method for structural topology optimization , 2003 .

[15]  Haichao An,et al.  Actuator placement optimization for adaptive trusses using a two-level multipoint approximation method , 2016 .

[16]  Dmitri Tcherniak,et al.  Topology optimization of resonating structures using SIMP method , 2002 .

[17]  Xu Guo,et al.  Optimum design of truss topology under buckling constraints , 2005 .

[18]  Y. Xie,et al.  Bidirectional Evolutionary Method for Stiffness Optimization , 1999 .

[19]  Lei Jiang,et al.  Singular optimum topology of skeletal structures with frequency constraints by AGGA , 2012 .

[20]  M. Bendsøe.  Optimal shape design as a material distribution problem , 1989 .

[21]  Hai Huang,et al.  Improved genetic algorithm with two-level approximation for truss topology optimization , 2014 .

[22]  George I. N. Rozvany,et al.  On the validity of ESO type methods in topology optimization , 2001 .

[23]  A. Panesar,et al.  Strategies for functionally graded lattice structures derived using topology optimisation for Additive Manufacturing , 2018 .

[24]  Asme,et al.  A collection of technical papers : 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference : 10th AIAA/ASME/AHS Adaptive Structures Forum : 4th AIAA Non-Deterministic Approaches Forum : 3rd AIAA Gossamer Spacecraft Forum, Denver, Colorado, 22-25 April 2002 , 2002 .

[25]  Y. Xie,et al.  A new look at ESO and BESO optimization methods , 2007 .

[26]  Zhiwei Lin,et al.  Stacking sequence optimization with genetic algorithm using a two-level approximation , 2013 .

[27]  Philippe Trompette,et al.  Optimal Design of Stiffened Plate Structures , 2002 .

[28]  Y. Xie,et al.  A simple evolutionary procedure for structural optimization , 1993 .

[29]  Y. Kanno,et al.  Relaxation approach to topology optimization of frame structure under frequency constraint , 2016 .

[30]  G. Cheng,et al.  ε-relaxed approach in structural topology optimization , 1997 .

[31]  Haichao An,et al.  Laminate stacking sequence optimization with strength constraints using two-level approximations and adaptive genetic algorithm , 2015 .

[32]  G. Sved,et al.  Structural optimization under multiple loading , 1968 .

[33]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[34]  Hai Huang,et al.  Multi-objective optimization of a composite stiffened panel for hybrid design of stiffener layout and laminate stacking sequence , 2018 .

[35]  N. L. Pedersen.  Maximization of eigenvalues using topology optimization , 2000 .

[36]  Jiazheng Du,et al.  Independent continuous mapping for topological optimization of frame structures , 2006 .

[37]  Hai Huang,et al.  Structural optimization for multiple structure cases and multiple payload cases with a two-level multipoint approximation method , 2016 .

[38]  Masataka Yoshimura,et al.  Structural optimization based on topology optimization techniques using frame elements considering cross-sectional properties , 2007 .

[39]  George I. N. Rozvany,et al.  Layout Optimization of Structures , 1995 .

[40]  Mei Yulin,et al.  A level set method for structural topology optimization and its applications , 2004 .

[41]  M. M. Neves,et al.  Generalized topology design of structures with a buckling load criterion , 1995 .