Topology Optimization of Structure Based on Modified Balanjin Theory
-
摘要: 为了探索具有工程实用性的结构优化新方法,应用渐进结构优化方法(ESO)对结构进行基于应力的拓扑优化.通过对巴兰金强度理论的修正,用单轴拉压极限应力比和单元主应力衡量单元应力水平,建立了一种基于修正巴兰金理论的渐进结构优化方法.算例表明,该方法可用于二维和三维结构的拓扑优化.Abstract: In order to seek a new structural optimization method with engineering practicability,the evolutionary structural optimization(ESO) was applied to the topology optimization of structures based on a stress level.Through modifying the Balanjin theory,the stress level of elements was measured by the ratio of ultimate uniaxial tension to compression stresses and the principal stresses of elements.As a result,an evolutionary structural optimization method based on the modified Balanjin theory was proposed.The numerical results show that the proposed method can be used for the topology optimization of 2-D and 3-D structures effectively.
-
BENDSOE M P,KIKUCHI N.Generating optimal topologies in structural design using a homogenization method[J].Computer Methods in Applied Mechanics and Engineering,1988,71(2):197-224.[2] XIE Y M,STEVEN G P.A simple evolutionary procedure for structural optimization[J].Computers & Structures,1993,49(5):885-896.[3] 叶红玲,隋允康.基于ICM方法三维连续体结构拓扑优化[J].固体力学学报,2006,27(4):387-393.YE Hongling,SUI Yunkang.ICM-based topological optimization of three-dimensional continuum structure[J].ActaMechanics Solids Siniea,2006,27(4):387-393.[4] 唐文艳,顾元宪.遗传算法在结构优化中的研究进展[J].力学进展,2002,32(1):26-40.TANG Wenyan,GU Yuanxian.Advances of genetic algorithms in structural optimization[J].Advances in Mechanics,2002,32(1):26-40.[5] RONG J H,XIE Y M,YANG X Y.An improved method for evolutionary structural optimization against buckling[J].Computer and Structures,2001,79(3):253-263.[6] 荣见华,谢亿民,姜节胜,等.渐进结构优化设计的现状与进展[J].长沙交通学院学报,2001,17(3):16-23.RONG Jianhua,XIE Yimin,JIANG Jiesheng,et al.Present situation and development of evolutionary structure optimization method[J].Journal of Changsha Communications University,2001,17(3):16-23.[7] 荣见华,姜节胜,颜东煌,等.多约束的桥梁结构拓扑优化[J].工程力学,2002,19(4):160-165.RONG Jianliua,JIANG Jiesheng,YAN Donghuang,ct al.Bridge structure topology optimization with multiple constraints[J].Engineering Mechanics,2002,19(4):160-165.[8] GUAN H,CHEN Y J,LOO Y C,et al.Bridge topology optimization with stress,displaeement and frequency constraints[J].Computer & Structures,2003,81(3):131-145.[9] 傅建林,荣见华,杨振兴.一种基于Ishai应力准则的双方向结构拓扑优化方法[J].长沙交通学院学报,2005,21(1):21-27.FU Jianlin,RONG Jianhua,YANG Zhenxing.A bi-directional method of structural topology based on Ishai stress criteria[J].Journal of Changsha Communications University,2005,21(1):21-27.[10] 荣见华,唐国金,杨振兴,等.一种三维结构拓扑优化设计方法[J].固体力学学报,2005,26(3):289-296.RONG Jianhua,TANG Guojin,YANG Zhenxing,et al.A three-dimension structural topology optimization design method[J].Aeta Mechanics Solida Sinica,2005,26(3):289-296.[11] 徐积善.强度理论及其应用[M].北京:水利电力出版社,1984:92-97.
点击查看大图
计量
- 文章访问数: 1732
- HTML全文浏览量: 65
- PDF下载量: 289
- 被引次数: 0