gemseo.problems.topology_optimization.density_filter_disc module

A discipline for topology optimization density filter.

class DensityFilter(n_x=100, n_y=100, min_member_size=1.5, name='')

Bases: Discipline

Apply density filter to the design variables of a topology optimization problem.

This helps to avoid checkerboard patterns in density based topology optimization. A filter matrix \(H\) is assembled at instantiation. The discipline computes the physical density \(xPhys\) from the design variables \(x\) with the formula \(xPhys=Hx\). This physical density is an approximation of a convolution integral.

Initialize self. See help(type(self)) for accurate signature.

Parameters:

• n_x (int) --

  The number of elements in the x-direction.

  By default it is set to 100.

• n_y (int) --

  The number of elements in the y-direction.

  By default it is set to 100.

• min_member_size (float) --

  The minimum structural member size.

  By default it is set to 1.5.

• name (str) --

  The name of the discipline. If empty, use the name of the class.

  By default it is set to "".