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HOMOGENIZATION—BASED TOPOLOGY DESIGN FOR PURE TORSION OF COMPOSITE SHAFTS
引用本文:袁振,吴长春,李华.HOMOGENIZATION—BASED TOPOLOGY DESIGN FOR PURE TORSION OF COMPOSITE SHAFTS[J].Acta Mechanica Sinica,2003,19(3):241-246.
作者姓名:袁振  吴长春  李华
摘    要:

关 键 词:组合轴  有限元  均化方法  拓扑优化  转矩  结构优化  拓扑设计
收稿时间:4 January 2002

Homogenization-based topology design for pure torsion of composite shafts
Yuan?Zhen,Wu?Changchun,Li?Hua.Homogenization-based topology design for pure torsion of composite shafts[J].Acta Mechanica Sinica,2003,19(3):241-246.
Authors:Yuan Zhen  Wu Changchun  Li Hua
Institution:(1) School of Civil Engineering and Mechanics, Shanghai Jiatong University, 200240 Shanghai, China;(2) Computational MEMS Division, Institute of High Performance Computing, 117528, Singapore
Abstract:In conjunction with the homogenization theory and the finite element method, the mathematical models for designing the corss-section of composite shafts by maximizing the torsion rigidity are developed in this paper. To obtain the extremal torsion rigidity, both the cross-section of the macro scale shaft and the representative microstructure of the composite material are optimized using the new models. The micro scale computational model addresses the problem of finding the periodic microstructures with extreme shear moduli. The optimal microstructure obtained with the new model and the homogenization method can be used to improve and optimize natural or artificial materials. In order to be more practical for engineering applications, cellular materials rather than ranked materials are used in the optimal process in the existence of optimal bounds for the elastic properties. Moreover, the macro scale model is proposed to optimize the cross-section of the torsional shaft based on the tailared composites. The validating optimal results show that the models are very effective in obtaining composites with extreme elastic properties, and the cross-section of the composite shaft with the extremal torsion rigidity. The project supported by the National Natural Science Foundation of China (10172078 and 10102018)
Keywords:composite shaft  finite element  homogenization method  topology optimization  torsion
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