按照设计变量,叙述了连续变量和离散变量拓扑优化设计的一些常用算法,其中包括均匀化方法、变密度法、变厚度法、移动渐进算法、模拟退火法、遗传算法、相对差商法和Tabu搜索法,并对各种方法的优缺点进行了比较;对二维和三维复合材料的拓扑学优化设计研究现状和方法进行了阐述;提出了拓扑优化设计复合材料的未来研究方向.
参考文献
[1] | Kirsch U .Optimal topology of structures[J].Computer Methods in Applied Mechanics and Engineering,1988,71(01):15. |
[2] | Sigmund O .Materials with prescribed constitutive parameters:an inverse homogenization problem[J].International Journal of Space Structures,1994,31(17):2313. |
[3] | Bendsoe M P;Kikuchi N .Generating optimal topologies in structure design using a homogenization method[J].Computer Methods in Applied Mechanics and Engineering,1988,71(01):197. |
[4] | 袁振,吴长春,庄守兵.基于杂交元和变密度法的连续体结构拓扑优化设计[J].中国科学技术大学学报,2001(06):694-699. |
[5] | 左孔天,王书亭,张云清,陈立平.拓扑优化中两类不同优化数值算法的研究[J].华中科技大学学报(自然科学版),2004(09):63-65. |
[6] | Sadagopan D;Pitchumani R .Application of genetic algorithms to optimal tailoring of composite materials[J].Composites Science and Technology,1998,58(03):571. |
[7] | 朱朝艳,刘斌,张延年,郭鹏飞.复合形遗传算法在离散变量桁架结构拓扑优化设计中的应用[J].四川大学学报(工程科学版),2004(05):6-10. |
[8] | Chai S;Sun H C .A relative difference quotient algorithm for discrete optimization structure optimization[J].Structural Optimization,1996,12(01):46. |
[9] | Glover F .Tabu serch,Part Ⅰ[J].ORSA Journal on Computing,1989,1:190. |
[10] | Glover F .Tabu serch,PartⅡ[J].ORSA Journal on Computing,1990,2:4. |
[11] | Bland J A .Discrete-variable optimal structural design using tabu search[J].Structural Optimization,1995,10:87. |
[12] | Emilio C. Nelli Silva;Shin ji Nishiwaki;Jun S. Ono Fonseca .Optimization methods applied to material and flextensional actuator design using the homogenization method[J].Computer Methods in Applied Mechanics and Engineering,1999(1/4):241-271. |
[13] | Emilio C Nelli Silva;Jun SOno Fonseca;Noboru Kikuchi .Optimal design of periodic piezo composites[J].Computer Methods in Applied Mechanics and Engineering,1998,159:49. |
[14] | Guo X;Cheng G .A new approach for the solution of singu lar optimum in structural topology optimization[J].Acta Mechanica Sinica,1997,13(02):171. |
[15] | 袁振,吴长春.复合材料周期性线弹性微结构的拓扑优化设计[J].固体力学学报,2003(01):40-45. |
[16] | 袁振,吴长春.复合材料扭转轴截面微结构拓扑优化设计[J].力学学报,2003(01):39-42. |
[17] | 刘书田;程耿东.基于均匀化理论的梯度功能材料优化设计方法[J].宇航材料工艺,1995:21. |
[18] | 刘书田,曹先凡.零膨胀材料设计与模拟验证[J].复合材料学报,2005(01):126-132. |
[19] | Sigmund O .Tailoring materials with prescribed elastic properties[J].Mechanics of Materials,1995,20:351. |
[20] | O.Sigmund;S.Torquato .Design of materials with extreme thermal expansion using a three-phase topology optimization method[J].Journal of the Mechanics and Physics of Solids,1997(6):1037-1067. |
[21] | Sigmund O .Design of multiphysics actuators using topology optimization-Part Ⅰ:one-material[J].Computer Methods in Applied Mechanics and Engineering,2001,190:6577. |
[22] | Sigmund O .Design of multiphysics actuators using topology optimization-Part Ⅱ:two-material[J].Computer Methods in Applied Mechanics and Engineering,2001,190:6605. |
[23] | Levin V M .Multiphase composite with extremal bulk modulus[J].Mekhanika Tverdoga Tela,1967,2:88. |
[24] | Rosen B W;Hashin Z .Effective thermal expansion and spe cific heat of composite materials[J].International Journal of Engineering Science,1970,8:157. |
[25] | Franckfort G;Murat F .Homogenization and optimal bounds in linear elasticity[J].Archive For Rational Mechanics and Analysis,1986,94:307. |
[26] | Fujii D;Chen B C;Kikuchi N .Composite material design of two-dimensional structures using the homogenization design method[J].International Journal for Numerical Methods in Engineering,2001,50:2031. |
[27] | Leonid V;Gibiansky;Sigmund O .Multiphase composite with extremal bulk modulus[J].Journal of the Mechanics and Physics of Solids,1967,48:461. |
[28] | Hoenlein H R E M;Werner R .Material optimization:bridging the gap between conceptual and preliminary design[J].Aerospace Science and Technology,2001,5:541. |
[29] | Liangsheng Wang;Prodyot K. Basu;Juan Pablo Leiva .Automobile body reinforcement by finite element optimization[J].Finite elements in analysis & design,2004(8):879-893. |
[30] | Luzhong Yin;Ananthauresh G K .A novel topology design scheme for the multi-physics problems of electro-thermally actuated compliant micromechanisms[J].Sensors and Actuators A:Physical,2002,97-98:599. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分:
-
10%
-
20%
-
30%
-
40%
-
50%