Structural Optimization for Masonry Shell Design Using Multi-objective Evolutionary Algorithms

In this study, the implementation of evolutionary algorithms to the form-finding problem of masonry shell models is presented using Autoclaved Aerated Concrete material. Regarding the significance of design decisions, the study is focused on the conceptual stage of the design process. In this context, the applied method is addressed as multi-objective real-parameter constrained optimization. For the sake of dealing with the shell design problem, two objective functions are considered: minimization of global displacement and minimization of mass. Two multi-objective evolutionary algorithms, namely, Non-Dominated Sorting Genetic Algorithm II and Real-coded Genetic Algorithm with mutation strategy of Differential Evolution Algorithms are compared in terms of computational and architectural performance. As a result, the solutions generated by these algorithms are found much competitive.

[1]  Farshad Kowsary,et al.  Multi-objective optimization of the building energy performance: A simulation-based approach by means of particle swarm optimization (PSO) , 2016 .

[2]  F. H. Wittmann Advances in Autoclaved Aerated Concrete , 1992 .

[3]  Mehmet Fatih Tasgetiren,et al.  Evolutionary computation for architectural design of restaurant layouts , 2015, 2015 IEEE Congress on Evolutionary Computation (CEC).

[4]  Philippe Block,et al.  Funicular Shell Design Exploration , 2013 .

[5]  Philippe Block,et al.  Interactive Vault Design , 2012 .

[6]  Lothar Thiele,et al.  Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach , 1999, IEEE Trans. Evol. Comput..

[7]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[8]  Marco Laumanns,et al.  SPEA2: Improving the strength pareto evolutionary algorithm , 2001 .

[9]  K. Ramamurthy,et al.  STRUCTURE AND PROPERTIES OF AERATED CONCRETE: A REVIEW , 2000 .

[10]  David H. Wolpert,et al.  No free lunch theorems for optimization , 1997, IEEE Trans. Evol. Comput..

[11]  Eckart Zitzler,et al.  HypE: An Algorithm for Fast Hypervolume-Based Many-Objective Optimization , 2011, Evolutionary Computation.

[12]  Janez Brest,et al.  Self-Adapting Control Parameters in Differential Evolution: A Comparative Study on Numerical Benchmark Problems , 2006, IEEE Transactions on Evolutionary Computation.

[13]  Moritz Heimrath,et al.  Karamba—A Toolkit for Parametric Structural Design , 2014 .

[14]  Ming C. Lin,et al.  Example-guided physically based modal sound synthesis , 2013, ACM Trans. Graph..

[15]  Farshad Kowsary,et al.  A novel approach for the simulation-based optimization of the buildings energy consumption using NSGA-II: Case study in Iran , 2016 .

[16]  Jie Zhang,et al.  Consistencies and Contradictions of Performance Metrics in Multiobjective Optimization , 2014, IEEE Transactions on Cybernetics.

[17]  Mehmet Fatih Tasgetiren,et al.  Identification of sustainable designs for floating settlements using computational design techniques , 2015, 2015 IEEE Congress on Evolutionary Computation (CEC).

[18]  Samuel Aroni,et al.  Autoclaved Aerated Concrete - Properties, Testing and Design , 1993 .

[19]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[20]  R. L. Nelson,et al.  Masonry : materials, testing, and applications , 1999 .

[21]  Philippe Block,et al.  Shell Structures for Architecture - Form Finding and Optimization , 2014, Shell Structures for Architecture.

[22]  Mehmet Fatih Tasgetiren,et al.  A Multi-Objective Harmony Search Algorithm for Sustainable Design of Floating Settlements , 2016, Algorithms.

[23]  Olga Sorkine-Hornung,et al.  Designing unreinforced masonry models , 2013, ACM Trans. Graph..

[24]  Margaret Becker,et al.  Rhino NURBS 3D Modeling , 1999 .