@Article{cmes.2013.090.211,
AUTHOR = {Jian Hua Rong, Zhi Jun Zhao, Yi Min Xie, Ji Jun Yi},
TITLE = {Topology optimization of finite similar periodic continuum structures based on a density exponent interpolation model},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {90},
YEAR = {2013},
NUMBER = {3},
PAGES = {211--231},
URL = {http://www.techscience.com/CMES/v90n3/26905},
ISSN = {1526-1506},
ABSTRACT = {Similar periodic structures have been widely used in engineering. In order to obtaining the optimal similar periodic structures, a topology optimization method of similar periodic structures with multiple displacement constraints is proposed in this paper. Firstly, in the proposed method, the design domain is divided into sub-domains. Secondly, a penalty term considering discrete conditions of density variables is introduced into the objective function, and the reciprocal density exponents of structural elements are taken as design variables. A topological optimization model of a similar periodic continuum structure with the objective function being the structural mass and the constraint functions being structural displacements is constructed in the proposed method. The optimization dual method is introduced and a set of iteration formula for Lagrange multipliers is built. Then, virtual sub-domain design variables are introduced to establish the relation of corresponding variables between all the sub-domains of the similar periodic continuum structure in order to enforce structurally similar periodic requirement. Three examples are provided to demonstrate that the proposed method is feasible and effective for obtaining optimal similar periodic structures.},
DOI = {10.3970/cmes.2013.090.211}
}