Smooth Topological Design of Continuum Structures

This presents a new topology algorithm for structural optimization called Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT). It presents the basic theory of SEMDOT, explains its connections with the corresponding optimizers, and uses it to address the jagged edge problem facing classical topology optimization algorithms. Smooth Topological Design of Continuum Structures focuses on the use of a newly-proposed topology algorithm for structural optimization called Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT). The book presents the basic theory of SEMDOT and explains connections between this method and the corresponding optimizers. The method is used to address the long-standing jagged edge problem facing classical topology optimization algorithms and is presented as a perfect tool for combining additive manufacturing and topology optimization, which are increasingly coupled together to produce new part designs. A range of representative case studies are also included to illustrate applications. This serves as a textbook and reference for graduate and senior undergraduate students in the area, as well as engineers in the structural optimization field. Full modifiable MATLAB codes for each chapter are available online.