Plate manufacturing constraint in topology optimization using anisotropic Helmholtz filter

Abstract

The manufacturing constraint of topology optimization for finding structures composed primarily of plate cross sections with an automatically decided surface normal is discussed. The Helmholtz filter to the sensitivity of the objective function is designed such that the eigenvalue-resolved stress tensor is converted to the anisotropic filter tensor. Plate structure formation and stiffness compliance performance are discussed through three sample problems: a solid bar subjected to torsional loads, an L-shaped member subjected to multiple loads, and a vehicle body frame intended to be a complex frame.