Optimal design of functionally graded lattice structures using Hencky bar-grid model and topology optimization

Abstract Presented herein is a novel design framework for obtaining the optimal of functionally graded lattice (FGL) structures that involve using physical discrete structural model called Hencky bar-grid (HBM) and topology optimization (TO). The continuous FGL structure discretized by HBM comprising rigid bars, frictionless hinges, pulleys, elastic primary secondary axial springs, torsional springs. A penalty function introduced to each spring’s stiffnesses non-uniform material properties. gradient-based TO method applied find stiffest via minimizing compliance or strain energy adjusting spring subjected prescribed constraints. constructed based on HBM. proposed simple implement as it involves relatively small number variables such grid cell. As illustration HBM-TO method, some problems are considered their solutions obtained. shown converge after iterations. Python code given in Appendix interested readers who wish reproduce results.