The use of a genetic algorithm to improve the postbuckling strength of stiffened composite panels susceptible to secondary instabilities

Abstract The use of genetic algorithms (GAs) for structural optimisation is well established but little work has been reported on the inclusion of damage variables within an optimisation framework. This approach is particularly useful in the optimisation of composite structures which are prone to delamination damage. In this paper a challenging design problem is presented where the objective was to delay the catastrophic failure of a postbuckling secondary-bonded stiffened composite panel susceptible to secondary instabilities. It has been conjectured for some time that the sudden energy release associated with secondary instabilities may initiate structural failure, but this has proved difficult to observe experimentally. The optimisation methodology confirmed this indirectly by evolving a panel displaying a delayed secondary instability whilst meeting all other design requirements. This has important implication in the design of thin-skinned lightweight aerostructures which may exhibit this phenomenon.

[1]  Gin Boay Chai,et al.  Buckling strength optimization of laminated composite plates , 1993 .

[2]  Layne T. Watson,et al.  A genetic algorithm with memory for optimal design of laminated sandwich composite panels , 2002 .

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

[4]  Brian Falzon,et al.  The behaviour of damage tolerant hat-stiffened composite panels loaded in uniaxial compression , 2001 .

[5]  Juhani Koski,et al.  Multicriterion optimization of composite laminates for maximum failure margins with an interactive descent algorithm , 2002 .

[6]  E. Riks.  The Application of Newton's Method to the Problem of Elastic Stability , 1972 .

[7]  G.A.O. Davies,et al.  Buckling and postbuckling of composite structures , 1995 .

[8]  Petri Kere,et al.  Using multicriterion optimization for strength design of composite laminates , 2003 .

[9]  James H. Starnes,et al.  Postbuckling behavior of selected flat stiffened graphite-epoxy panels loaded in compression , 1982 .

[10]  Gin Boay Chai,et al.  Stability Study of Coupling Responses in Laminates , 1991 .

[11]  G.A.O. Davies,et al.  Postbuckling behaviour of a blade-stiffened composite panel loaded in uniaxial compression , 2000 .

[12]  F. A. Brogan,et al.  On the solution of mode jumping phenomena in thin walled shell structures , 1996 .

[13]  Grant P. Steven,et al.  Buckling mode transition in hat-stiffened composite panels loaded in uniaxial compression , 1997 .

[14]  Layne T. Watson,et al.  Improved Genetic Algorithm for the Design of Stiffened Composite Panels , 1994 .

[15]  R. Haftka,et al.  Optimization of laminate stacking sequence for buckling load maximization by genetic algorithm , 1993 .

[16]  Brian Falzon,et al.  A study of secondary instabilities in postbuckling composite aerostructures , 2007, The Aeronautical Journal (1968).

[17]  J. Reeder,et al.  An Evaluation of Mixed-Mode Delamination Failure Criteria , 1992 .

[18]  Cv Clemens Verhoosel,et al.  Non-Linear Finite Element Analysis of Solids and Structures , 1991 .

[19]  Eduard Riks,et al.  Optimization of Stiffened Panels in which Mode Jumping is Accounted for , 1997 .

[20]  Hideki Sekine,et al.  Buckling characteristics and layup optimization of long laminated composite cylindrical shells subjected to combined loads using lamination parameters , 2002 .

[21]  Brian Falzon,et al.  The Reliability of the Arc-Length Method in the Analysis of Mode-Jumping Problems , 2003 .

[22]  M. Gherlone,et al.  Multiconstrained optimization of laminated and sandwich plates using evolutionary algorithms and higher-order plate theories , 2003 .

[23]  Emile H. L. Aarts,et al.  Simulated Annealing: Theory and Applications , 1987, Mathematics and Its Applications.

[24]  Brian Falzon,et al.  An automated hybrid procedure for capturing mode-jumping in postbuckling composite stiffened structures , 2006 .

[25]  Sarp Adali,et al.  Optimization of laminated composites subject to uncertain buckling loads , 2003 .

[26]  Sarp Adali,et al.  Optimal design of hybrid laminates with discrete ply angles for maximum buckling load and minimum cost , 1995 .

[27]  Mark Walker,et al.  Optimal design of symmetric laminates with cut-outs for maximum buckling load , 1999 .

[28]  Erasmo Carrera,et al.  A two-level optimization feature for the design of aerospace structures , 2003 .

[29]  Nozomu Kogiso,et al.  Design of Composite Laminates by a Genetic Algorithm with Memory , 1994 .

[30]  G. Wempner.  Discrete approximations related to nonlinear theories of solids , 1971 .

[31]  Brian Falzon,et al.  Stiffener debonding mechanisms in post-buckled CFRP aerospace panels , 2005 .

[32]  Mark Walker,et al.  Optimization of symmetric laminates for maximum buckling load including the effects of bending-twisting coupling , 1996 .

[33]  Mark Walker,et al.  Optimal design of symmetric angle-ply laminates subject to nonuniform buckling loads and in-plane restraints , 1996 .

[34]  Mark Walker,et al.  Multiobjective optimization of laminated plates for maximum prebuckling, buckling and postbuckling strength using continuous and discrete ply angles , 1996 .

[35]  G.A.O. Davies,et al.  A Simple Non-Linear Global-Local Finite Element Methodology for Composite Structures , 1999 .

[36]  Hsuan-Teh Hu,et al.  Buckling optimization of unsymmetrically laminated plates under transverse loads , 1999 .

[37]  Brian Falzon,et al.  An Introduction to Modelling Buckling and Collapse , 2006 .

[38]  Giulio Romeo,et al.  Nonlinear analysis of anisotropic plates with initial imperfections and various boundary conditions subjected to combined biaxial compression and shear loads , 1994 .

[39]  R. Haftka,et al.  Improved genetic algorithm for minimum thickness composite laminate design , 1995 .

[40]  Giulio Romeo,et al.  Experimental investigation on advanced composite-stiffened structures under uniaxial compression and bending , 1986 .

[41]  Hsuan-Teh Hu,et al.  Buckling optimization of symmetrically laminated plates with various geometries and end conditions , 1995 .

[42]  Raphael T. Haftka,et al.  Design and optimization of laminated composite materials , 1999 .

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

[44]  Christine M. Anderson-Cook,et al.  A genetic algorithm with memory for mixed discrete–continuous design optimization , 2003 .