On topology optimization of linear and nonlinear plate problems

作者：Boroomand B^*; Barekatein A R

来源：Structural and Multidisciplinary Optimization, 2009, 39(1): 17-27.

DOI：10.1007/s00158-008-0311-y

• Topology optimization
• Plate
• Continuation
• Restriction
• Resolution
• Stabilization
• Refinement
• Mesh dependency
• Checkerboard
• Sequential optimization

In this paper we propose a new restriction method based on employing C (0)-continuous fields of density defined on a set of meshes different from the one used for the finite element analysis. The optimization procedure starts with using a coarse density-mesh compared to the finite element one. Once the convergence is obtained in the optimization steps, a finer density-mesh is nominated for the further steps. Linear and nonlinear plate behaviors are considered and formulated by Kirchhoff or Mindlin-Reissner hypothesis. Comparison is made with element/nodal based approaches using filter. The results show excellent and robust performance of the proposed method.

• 出版日期2009-7