Three-dimensional structure optimal design for extending fatigue life by using biological algorithm

This paper presents some applications of a new structural shape optimization procedure for maximizing fatigue life or inspection intervals for damage tolerant structures. In this approach, a new and simple method, which we termed FAST (Failure Analysis of Structures), for estimating the stress intensity factor for cracks at a notch, as well as an extension of the biological algorithm was employed to study the problem of optimization with fatigue life as the design objective. Research by the authors has demonstrated that the optimum shape for minimizing stress is not necessarily the optimum shape for static strength or fatigue life of a damage tolerant structure. The examples are presented that highlight this difference. The optimal shapes for stress are compared with optimized shapes found for static strength with different crack lengths. These are also compared with optimized shapes found for maximum fatigue life. The choice of initial crack size was found to have a significant effect on the optimal shapes for the structures presented.

[1]  Subrata Mukherjee,et al.  Shape sensitivity analysis and shape optimization in planar elasticity using the element-free Galerkin method , 2001 .

[2]  Iulian Grindeanu,et al.  CAD-Based Shape Optimization Using a Meshfree Method , 2002, Concurr. Eng. Res. Appl..

[3]  Shinobu Yoshimura,et al.  Advanced general-purpose computational mechanics system for large-scale analysis and design , 2002 .

[4]  A. Pressley Elementary Differential Geometry , 2000 .

[5]  J. Santos,et al.  2-D and 3-D shape optimization using mesh velocities to integrate analytical sensitivities with associative CAD , 1997 .

[6]  Susan Pitt,et al.  Weight functions, CTOD, and related solutions for cracks at notches , 2004 .

[7]  J. L. Walsh,et al.  The theory of splines and their applications , 1969 .

[8]  M. J. Maron,et al.  Numerical Analysis: A Practical Approach , 1982 .

[9]  M. Mcdonald,et al.  Shape optimization of critical stiffener runouts for F-111 airframe life extension , 2002 .

[10]  M Heller,et al.  Investigation of shape optimization for the design of life extension options for an F/A-18 airframe FS 470 bulkhead , 2000 .

[11]  F. W. Kellaway,et al.  Advanced Engineering Mathematics , 1969, The Mathematical Gazette.

[12]  C. Mattheck,et al.  AN INTELLIGENT CAD‐METHOD BASED ON BIOLOGICAL GROWTH , 1990 .

[13]  Subramaniam Rajan,et al.  Use of Fracture Mechanics and Shape Optimization for Component Designs , 1999 .

[14]  Bhushan Lal Karihaloo,et al.  Structural optimization : proceedings of the IUTAM Symposium on Structural Optimization, Melbourne, Australia, 9-13 February 1988 , 1988 .

[15]  C. Mattheck,et al.  Three-dimensional shape optimization of a bar with a rectangular hole , 1992 .

[16]  Alain Rassineux,et al.  3D mesh adaptation. Optimization of tetrahedral meshes by advancing front technique , 1997 .

[17]  H. M. Antia Numerical Methods for Scientists and Engineers , 2002 .

[18]  C. Mattheck,et al.  DESIGN AND GROWTH RULES FOR BIOLOGICAL STRUCTURES AND THEIR APPLICATION TO ENGINEERING , 1990 .

[19]  Susan Pitt,et al.  A methodology for structural optimisation with damage tolerance constraints , 2000 .

[20]  A. Selman,et al.  Multi-mesh and adaptivity in 3D shape optimization , 1996 .

[21]  W. Annicchiarico,et al.  Structural shape optimization 3D finite-element models based on genetic algorithms and geometric modeling , 2001 .

[22]  Subrata Mukherjee,et al.  Shape optimization in three-dimensional linear elasticity by the boundary contour method , 1999 .

[23]  J. L. T. Santos,et al.  Shape optimization of three-dimensional shell structures with the shape parametrization of a CAD system , 1999 .

[24]  M. Heller,et al.  Structural optimisation with fracture strength constraints , 2002 .

[25]  J. Douglas Faires,et al.  Numerical Analysis , 1981 .

[26]  M. Heller,et al.  Through-thickness shape optimisation of bonded repairs and lap-joints , 2002 .

[27]  M. Touratier,et al.  Optimal design for minimum weight in a cracked pressure vessel of a turboshaft , 1996 .