A framework for simultaneous optimization of topology and filter configurations through local density interpolation
R.J.P. Giele (TU Delft - Computational Design and Mechanics)
C. Ayas (TU Delft - Computational Design and Mechanics)
Matthijs Langelaar (TU Delft - Computational Design and Mechanics)
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Abstract
A framework is proposed for geometric filters in density-based topology optimization. Most geometric filters feature density detection in a specified region of interest. In this method, this operation is decoupled from the finite element mesh by using interpolated densities. This allows for the filter configuration (e.g. tool orientation or printing direction) to be optimized simultaneously with the geometric layout. The framework is presented in a generic manner, and demonstrated on filters for: milling with simultaneous optimization of milling orientation; jetting with simultaneous optimization of jetting positions; and printing with simultaneous optimization of printing orientation. The performance of the framework is tested with numerical examples for compliance in 2D and 3D on a structured mesh, and in 2D on an unstructured mesh. The framework can extend the design freedom of existing filters, and can serve as a basis for the development of new geometric filters.
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