Topology Optimization of 3D Structures with Design Dependent Loads

摘要

This work presents a generalization of topology optimization of linearly elastic continuum structures to problems involving loadings that depend on the design. 2D as well as 3D structures are considered. Minimum compliance is chosen as the design objective, assuming the boundary conditions and the total structural volume within the admissible design domain to be given, and the topology optimization is based on the usage of a SIMP material model, whose volume density parameter in each finite element plays the role of a design variable. The design sensitivities, including the sensitivities of the loads, are derived analytically.