A heuristic and a genetic topology optimization algorithm for weight-minimal laminate structures

This paper presents two alternative approaches for realizing weight-minimal laminate structures by topology optimization. In both cases, topology optimization is performed in a layerwise manner such that the individual laminate plies are allowed to have their individual topologies. In the first approach, a heuristic optimization algorithm is applied: starting from an oversized initial design, this algorithm iteratively removes single layer material at locations where it is not seriously needed. In the second approach, a genetic algorithm has been developed that adapts the material distribution and the local reinforcement directions to the given structural needs. Two examples of laminate structures show the effectiveness of the proposed algorithms.

[1]  Lawrence J. Fogel,et al.  Artificial Intelligence through Simulated Evolution , 1966 .

[2]  Wilfried Becker,et al.  An Evolutionary Algorithm for a Layerwise Topology Optimazation of Laminates , 2000 .

[3]  Bull,et al.  An Overview of Genetic Algorithms: Part 2, Research Topics , 1993 .

[4]  Bernd Freisleben,et al.  Fitness Landscapes, Memetic Algorithms, and Greedy Operators for Graph Bipartitioning , 2000, Evolutionary Computation.

[5]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[6]  W. Becker,et al.  Layerwise adaptive topology optimization of laminate structures , 1999 .

[7]  E. Hinton,et al.  Fully stressed topological design of structures using an evolutionary procedure , 1995 .

[8]  Y. Xie,et al.  A simple evolutionary procedure for structural optimization , 1993 .

[9]  Bernd Freisleben,et al.  New Genetic Local Search Operators for the Traveling Salesman Problem , 1996, PPSN.

[10]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[11]  Marc Schoenauer,et al.  Adaptive Techniques for Evolutionary Topological Optimum Design , 2000 .

[12]  S. Tsai,et al.  Introduction to composite materials , 1980 .

[13]  W. Vent,et al.  Rechenberg, Ingo, Evolutionsstrategie — Optimierung technischer Systeme nach Prinzipien der biologischen Evolution. 170 S. mit 36 Abb. Frommann‐Holzboog‐Verlag. Stuttgart 1973. Broschiert , 1975 .

[14]  Ingo Rechenberg,et al.  Evolutionsstrategie : Optimierung technischer Systeme nach Prinzipien der biologischen Evolution , 1973 .

[15]  David Beasley,et al.  An overview of genetic algorithms: Part 1 , 1993 .

[16]  J. Galletly An Overview of Genetic Algorithms , 1992 .

[17]  I. C. Parmee Evolutionary design and manufacture : selected papers from ACDM '00 , 2000 .

[18]  B. Freisleben,et al.  Genetic algorithms for binary quadratic programming , 1999 .

[19]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .