Shape and topology design for heat conduction by Evolutionary Structural Optimization

Abstract This paper extends the algorithm of Evolutionary Structural Optimization to shape and topology design problems subjected to steady heat conduction. This extension incorporates an evolutionary iterative process into finite element heat solutions. During each iteration two basic steps are involved. Firstly, a finite element thermal solution is carried out for the current structure. Secondly, a small part of the material which cannot effectively contribute to the functionality of transferring heat is removed. Examples demonstrate the proposed evolutionary procedure being effective in solving heat conduction problems, which conventionally require sophisticated mathematical programming techniques.

[1]  Krzysztof Dems,et al.  SENSITIVITY ANALYSIS IN THERMAL PROBLEMS—II:STRUCTURE SHAPE VARIATION , 1987 .

[2]  Yi Min Xie,et al.  Evolutionary Structural Optimization , 1997 .

[3]  Souran Manoochehri,et al.  GENERATING OPTIMAL CONFIGURATIONS IN STRUCTURAL DESIGN USING SIMULATED ANNEALING , 1997 .

[4]  Yung M. Yoo,et al.  Shape design sensitivity analysis of a two-dimensional heat transfer system using the boundary element method , 1988 .

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

[6]  Raphael T. Haftka,et al.  Techniques for thermal sensitivity analysis , 1981 .

[7]  Michał Kleiber,et al.  Shape optimization of thermo-diffusive systems , 1992 .

[8]  R. A. Meric,et al.  Shape design sensitivity analysis for non‐linear anisotropic heat conducting solids and shape optimization by the BEM , 1988 .

[9]  Ali Seireg,et al.  Optimizing the shape of mechanical elements and structures , 1997 .

[10]  Robert B. Haber,et al.  Design sensitivity analysis for nonlinear thermal systems , 1989 .

[11]  Grant P. Steven,et al.  Evolutionary structural optimization for dynamic problems , 1996 .

[12]  Martin P. Bendsøe,et al.  Optimization of Structural Topology, Shape, And Material , 1995 .

[13]  Sunil Saigal,et al.  Shape sensitivities and optimal configurations for heat diffusion problems : a BEM approach , 1991 .

[14]  R. A. Meric.  Boundary Elements for Static Optimal Heating of Solids , 1984 .

[15]  Byung Man Kwak,et al.  A REVIEW ON SHAPE OPTIMAL DESIGN AND SENSITIVITY ANALYSIS , 1994 .

[16]  George I. N. Rozvany,et al.  Layout Optimization of Structures , 1995 .