Abstract:SIMP的更小。 In the results of topology optimization with SIMP(solid isotropic material with penalization model), there are always some grey areas with intermediate densities. The intermediate densities of supports will have an effect on the topologies of structure and support. In order to drive the solution to a 0/1 layout a new constraint, labeled the sum of squares of the variables (SSV) was introduced for the first time. The constraint stipulated that the SSV must be larger or equal to its value at a discrete design for a specified amount of material. Based on the SIMP approach and the SSV constraint, a two-pass method has been proposed, where SIMP was employed to generate an intermediate solution to initialize the design variables and SSV was then adopted to produce the final design. In SSV stage, the design variables were still the densities of the finite elements but Young's modulus was a linear function of these densities (in some sense, a SIMP material without penalty). The potential of the present method has been demonstrated by simultaneous topological design of structure and support for minimum compliance. The examples showed that the hybrid technique could effectively remove all intermediate densities of support, whose effects were eliminated accordingly, and generate stiffer optimal designs characterized with a sharper boundary in contrast to SIMP.