[1]Allaire G, Gournay F D, Jouve F, et al. Structural Optimization Using Topological and Shape Sensitiv- ity via a Level Set Method[J]. Control and Cybernetics, 2005,34 ( 1 ) : 59-80.
[2]Sethian J A,Wiegmann A. Structural Boundary De- sign via Level Set and Immersed Interface Methods [J]. Journal of Computational Physics, 2000, 163 (2) :489-528.
[3]Wang M Y, Wang X, Guo D. A Level Set Method for Structural Topology Optimization [J]. Computer Methods in Applied Mechanics and Engineering, 2003,192(1/2) ,227-246.
[4]Wang M Y, Wang X. PDE-driven Level Sets, Shape Sensitivity and Curvature Flow for Structural Topol- ogy Optimization[J]. Computer Modeling in Engi- neering b- Sciences, 2004,6 (4) : 373-395.
[5]罗俊召[1],王书亭[1],陈立平[1].基于水平集方法的均布式柔性机构的拓扑优化设计[J].计算力学学报,2009(6):804-810.
[6]Luo Z,Wang M Y,Wang S Y. A Level Set-based Pa- rameterization Method for Structural Shape and Topolo- gy Optimization[J]. International Journal for Numerical Methods in Engineering,2008,76(1) : 1-26.
[7]Bendsoe M P, Sigmund O. Topology Optimization:Theory, Methods, and Applications[M].New York : Springer, 2003.
[8]Chen J Q,Shapiro V,Suresh K,et al. Shape Optimi zation with Topological Changes and Parametric Control[J]. International Journal for Numerical Methods in Engineering,2007,71 (3) : 313-346.
[9]Wang S Y,Wang M Y. Radial Basis Functions and Level Set Method for Structural Topology Optimiza- tion[J]. International Journal for Numerical Meth- ods in Engineering, 2006,65 (12) : 2060-2090.
[10]Wendland H. Piecewise Polynamial, Positive Definite and Compactly Supported Radial Functions of Mini- mal Degree[J]. Advance in Computational Mathemat- ics,1995,4(1):389-396. |