A TOPOLOGY OPTIMIZATION METHOD BASED ON ELEMENT INDEPENDENT NODAL DENSITY
In this paper, a method based on element independent nodal density (EIND) is developed for the topology optimization of continuum solids with the objective of minimizing the volume subject to a displacement constraint.Nodal densities of the finite element mesh are used as the design variables.The nodal densities are interpolated onto any point in the design domain by the Shepard interpolation scheme.Without using additional constraints (such as the filtering technique), mesh-independent, non-checkboarding, distinct optimal topologies can be obtained.Adopting the rational approximation for material properties (RAMP), the topology optimization procedure is implemented using a solid isotropic material with penalization (SIMP) method and a dual programming optimization algorithm.The computational efficiency is greatly improved by multithread parallel computing with OpenMP, an approach to writing parallel programs for the shared-memory model of parallel computation.Several examples are presented to demonstrate the effectiveness of the element independent nodal density method.
Topology optimization element independent nodal density Shepard interpolation scheme parallel computation
J.J.YI J.H.RONG Y.M.XIE T.ZENG
School of Mechanical and Electrical Engineering Central South University Changsha 410083,China Schoo School of Automobile and Mechanical Engineering Changsha University of Science and Technology Changs Innovative Structures Group School of Civil,Environmental and Chemical Engineering RMIT University G School of Mechanical and Electrical Engineering Central South University Changsha 410083,China
国际会议
黄山
英文
1-14
2012-06-18(万方平台首次上网日期,不代表论文的发表时间)