Numerical Analysis Method for Homologous Deformation Problem Using the Topology Optimization Technique Based on the Homogenization Theory.

A non-parametric solution to shape identification problem of free-form shells for desired deformation mode

“…Later, Yoshikawa et al proposed a formulation based on the finite element sensitivity analysis for homology design of frame structures [4,5]. Shimoda et al presented shape and topology optimization methods of continua for homologous deformation using the traction method [6,7]. Lee et al developed a truss optimization method using equality equations to include homology constraints under multiple loading conditions as well as single loading conditions [8,9].…”