An efficient approach for shape optimization of components

International Journal of Mechanical Sciences

Volumn 47, Issue 10, 2005, Pages 1595-1610

  Wu, Zhixue ^a  

^a YANGZHOU UNIVERSITY   (China)

Author keywords

Finite element analysis; Gradientless method; Notches; Shape optimization; Stress concentration

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FORMAL LOGIC; STRESS ANALYSIS; STRESS CONCENTRATION;

CONTROL POINTS; GRADIENTLESS METHODS; NOTCHES; SHAPE OPTIMIZATION;

MACHINE COMPONENTS;

EID: 23844511999     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2005.06.012     Document Type: Article

References (18)

1. J. Mackerle Topology and shape optimization of structures using FEM and BEM: a bibliography (1999-2001) Finite Elements in Analysis and Design 39 2003 243 253
2. R.V. Baud Fillet profiles for constant stress Product Engineering 5 1934 133 134
3. Neuber H. Zur Optimirung der Spannungskonzentration. In: Continuum mechanics and related problems of analysis. Moscow: Nauka Publishing House; 1972. p. 375-80.
4. E. Schnack An optimisation procedure for stress concentrations by the finite element technique International Journal of Numerical Methods and Engineering 14 1979 115 124
5. P. Pedersen On optimal shapes in materials and structures Structural and Multidisciplinary Optimization 19 2000 169 182
6. A.V. Cherkaev, Y. Grabovsky, A.B. Movchan, and S.K. Serkov The cavity of the optimal shape under the shear stresses International Journal of Solids and structures 35 1998 4391 4410
7. C. Mattheck, and S. Burkhardt A new method of structural shape optimization based on biological growth International Journal of Fatigue 12 1990 185 190
8. C. Mattheck Design in nature - learning from trees 1998 Springer Berlin, Heidelberg, New York
9. A. Baumgartner, L. Harzheim, and C. Mattheck SKO: Soft Kill Option. The biological way to find an optimum structure topology International Journal of Fatigue 14 1992 387 393
10. P. Pedersen, and C.L. Laursen Design for minimum stress concentration by finite elements and linear programming Journal of Structural Mechanics 10 1982-1983 243 271
11. R. Kaye, and M. Heller Investigation of shape optimization for the design of life extension options for an F/a-18 airframe Fs 470 bulkhead Journal of Strain Analysis for Engineering Design 35 6 2000 493 505
12. A.E. Tekkaya, and A. Güneri Shape optimization with the biological growth method: a parameter study Engineering Computations 13 8 1996 4 18
13. W. Waldman, M. Heller, and G.X. Chen Optimal free-form shapes for shoulder fillets in flat plates under tension and bending International Journal of Fatigue 23 2001 185 190
14. M. Heller, R. Kaye, and L.R. Rose A gradientless finite element procedure for shape optimization Journal of Strain Analysis for Engineering Design 34 5 1999 323 336
15. D. Tran, and V. Nguyen Optimal hole profile in finite plate under uniaxial stress by finite element simulation of Durelli's photoelastic stress minimisation method Finite Elements in Analysis and Design 32 1999 1 20
16. L. Hsu, S.D. Sheppard, and D.J. Wilde The curvature function method for two-dimensional shape optimization under stress constraints Computers Structures 49 1995 885 896
17. W. Annicchiarico, and M. Cerrolaza Finite elements, genetic algorithms and β-splines: a combined technique for shape optimization Finite Elements in Analysis and Design 33 1999 125 141
18. M. Cerrolaza, W. Annicchiarico, and M. Martinez Optimization of 2D boundary element models using β-splines and genetic algorithms Engineering Analysis with Boundary Elements 24 2000 427 440