Design optimization of a sport shoe sole structure by evolutionary computation and finite element method analysis

This paper describes the design optimization of a sport shoe sole structure by evolutionary computation coupled with eigenmode analysis based on the finite element method. A genetic algorithm assisted by the Kriging response surface model was used for global and efficient optimization. The present study implemented two optimization cases based on equivalent design problem formulations: the single-objective constrained problem and multi-objective non-constrained problem. The optimization described here provided a midsole structure with optimal material properties, in which the elastic modulus should be reduced in rearfoot→midfoot→forefoot-centre domains sequentially as the midsole weight becomes lighter. In addition, a comparison of the results between the two cases yielded insight into constraint handling for faster convergence in midsole design optimization by evolutionary computation.

[1]  James E. Baker,et al.  Reducing Bias and Inefficienry in the Selection Algorithm , 1987, ICGA.

[2]  Shigeyoshi Tsutsui,et al.  Forking Genetic Algorithm with Blocking and Shrinking Modes (fGA) , 1993, ICGA.

[3]  Shigeru Obayashi,et al.  Low-Boom and Low-Drag Optimization of the Twin Engine Version of Silent Supersonic Business Jet , 2008 .

[4]  T G McPoil Athletic footwear: design, performance and selection issues. , 2000, Journal of science and medicine in sport.

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

[6]  Anil K. Jain,et al.  Data clustering: a review , 1999, CSUR.

[7]  Seigo Nakaya,et al.  B11 Sole stiffness designing method corresponding to running velocity , 2006 .

[8]  Richard J. Beckman,et al.  A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code , 2000, Technometrics.

[9]  A. Oyama,et al.  New Constraint-Handling Method for Multi-Objective and Multi-Constraint Evolutionary Optimization , 2007 .

[10]  Larry J. Eshelman,et al.  The CHC Adaptive Search Algorithm: How to Have Safe Search When Engaging in Nontraditional Genetic Recombination , 1990, FOGA.

[11]  C. Fonseca,et al.  GENETIC ALGORITHMS FOR MULTI-OBJECTIVE OPTIMIZATION: FORMULATION, DISCUSSION, AND GENERALIZATION , 1993 .

[12]  Shigeru Obayashi,et al.  Multi-Objective Design Exploration for Aerodynamic Configurations , 2005 .

[13]  Shigeru Obayashi,et al.  Data Mining for Aerodynamic Design Space , 2005, J. Aerosp. Comput. Inf. Commun..

[14]  Claudia K Curtis,et al.  The role of shoe design in ankle sprain rates among collegiate basketball players. , 2008, Journal of athletic training.

[15]  Shigeru Obayashi,et al.  Optimization of Combustion Chamber for Diesel Engine Using Kriging Model , 2006 .

[16]  P. Rousseeuw Silhouettes: a graphical aid to the interpretation and validation of cluster analysis , 1987 .

[17]  Donald R. Jones,et al.  Efficient Global Optimization of Expensive Black-Box Functions , 1998, J. Glob. Optim..

[18]  Seigo Nakaya,et al.  B12 Influence of sole stiffness on ground reaction force in running , 2005 .

[19]  E. Frederick Kinematically mediated effects of sport shoe design: a review. , 1986, Journal of sports sciences.

[20]  R. K. Ursem Multi-objective Optimization using Evolutionary Algorithms , 2009 .

[21]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[22]  Shoichi Hasegawa,et al.  Development and investigation of efficient GA/PSO-HYBRID algorithm applicable to real-world design optimization , 2009, IEEE Comput. Intell. Mag..

[23]  Shigeru Obayashi,et al.  Practical Implementation of Robust Design Assisted by Response Surface Approximation and Visual Data-Mining , 2009 .

[24]  Thomas J. Santner,et al.  Design and analysis of computer experiments , 1998 .