Research of Topology Optimization of Nodal Density Based on Bilinear Interpolation

Yi Xian Du; Shuang Qiao Yan; Huang Hai Xie; Yan Zhang; Qi Hua Tian

doi:10.4028/www.scientific.net/AMM.713-715.1825

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 713-715Research of Topology Optimization of Nodal Density...

Research of Topology Optimization of Nodal Density Based on Bilinear Interpolation

Abstract:

With the purpose to overcome the numerical instabilities and to generate more distinct structural layouts in the topology optimization, by using bilinear interpolation function, a topology optimization model of density interpolation based on nodal density is established, smooth density field is constructed. This method can ensure that the density field in the fixed design domain owns C₀ continuity, and checkerboard patterns are naturally avoided in the nature of mathematics. After adding the sensitivity filtering, the optimal structures are smoother and have lesser details, which is helpful for manufacturing. Two numerical examples show that not only checkerboard pattern can be solved by the proposed method, but also the middle density nodal can be suppressed effectively.