RECENT PROGRESS IN PRELIMINARY DESIGN OF MECHANICAL COMPONENTS WITH TOPOLOGY OPTIMIZATION

摘要

Our work has extended the number of mechanical criteria, which can be considered in topology optimization design. For static analysis, we can consider compliance and deformation energy criteria, displacements constraints and stress constraints. Of course these constraints can be considered for one or several load cases. Because of their local character, the treatment of stress constraints in every finite element can be very cumbersome. So local stress constraints can be replaced by integrated (global) constraints with a certain success. Different stress criteria can also be taken into account. The classic von Mises criterion can be substituted by Raghava or Isaie criteria for unequal stress limits in tension and compression. In addition to mechanical constraints, one can also introduce geometric constraints on the material distribution: area/volume and perimeter constraint. Perimeter constraints are very interesting because they offer an elegant way to control the complexity of the geometry that comes out from the optimization procedure. Several works were realized to extend the 2-D perimeter measure for plane structure to 3-D and axisymmetric problems.