Application of layout and topology optimization using pattern gradation for the conceptual design of buildings

Abstract

This work explores the use of manufacturing-type constraints, in particular pattern gradation and repetition, in the context of layout optimization. By placing constraints on the design domain in terms of number and size of repeating patterns along any direction, the conceptual design for buildings is facilitated. To substantiate the potential future applications of this work, examples within the context of high-rise building design are presented. Successful development of such ideas will lead to practical engineering solutions, especially during the building design process. Throughout this work, a continuous topology optimization formulation is utilized with compliance as the objective function and constraints on the pattern geometry. Examples are given to illustrate the ideas developed both in two-dimensional and three-dimensional building configurations.ii To my father, Barry and my mother, Kathy.iii

Backbone cup – a structure design competition based on topology optimization and 3D printing

“…For recent advances of topology optimization, the readers are referred to the literature surveys of Deaton and Grandhi [8], Guo and Cheng [9]. Meanwhile, structural topology optimization has been used widely in automobiles [10], buildings [11], and aircrafts [12] to gain a structure design with the best mechanical performance. However, the structure designs obtained by topology optimization are prone to be geometrically complex such as hollow structures and porous structures, which can hardly be fabricated using traditional machining.…”

Structural optimization with uncertainty and its relation to performance based design

“…layout optimization (Stromberg 2011). There are also the growing interests in the architectural community to make topology optimization as a means of generating aesthetic and efficient structural forms (Beghini et al 2014), as well as searching for design methodologies that facilitate weight reduction of concrete structures while maintaining the required load-carrying capacity.…”

Anwendungsbeispiele zur Optimierung verformungsempfindlicher Tragwerke

“…Zur Erreichung dieser Ziele wurden bereits unterschiedlichste Methoden zur Optimierung von Tragwerken untersucht und in zahlreichen Veröffentli-chungen dargestellt (siehe u. a. [2] bis [11]). …”