Robust design and optimization of composite stiffened panels in post-buckling

Multilevel optimization including progressive failure analysis and robust design optimization for composite stiffened panels, in which the ultimate load that a post-buckled panel can bear is maximized for a chosen weight, is presented for the first time. This method is a novel robust multiobjective approach for structural sizing of composite stiffened panels at different design stages. The approach is integrated at two design stages labelled as preliminary design and detailed design. The robust multilevel design methodology integrates the structural sizing to minimize the variance of the structural response. This method improves the product quality by minimizing variability of the output performance function. This innovative approach simulates the sequence of actions taken during design and structural sizing in industry where the manufacture of the final product uses an industrial organization that goes from the material characterization up to trade constraints, through preliminary analysis and detailed design. The developed methodology is validated with an example in which the initial architecture is conceived at the preliminary design stage by generating a Pareto front for competing objectives that is used to choose a design with a required weight. Then a robust solution is sought in the neighbourhood of this solution to finally find the layup for the panel capable of bearing the highest load for the given geometry and boundary conditions.

[1]  Kalyanmoy Deb,et al.  AMGA: an archive-based micro genetic algorithm for multi-objective optimization , 2008, GECCO '08.

[2]  Shmuel Rippa,et al.  An algorithm for selecting a good value for the parameter c in radial basis function interpolation , 1999, Adv. Comput. Math..

[3]  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.

[4]  Yk Cheung,et al.  DISCUSSION. THE FINITE STRIP METHOD IN THE ANALYSIS OF ELASTIC PLATES WITH TWO OPPOSITE SIMPLY SUPPORTED ENDS. , 1969 .

[5]  D. Akçay Perdahcıoğlu,et al.  Distributed multilevel optimization for complex structures , 2008 .

[6]  Andy J. Keane,et al.  Computational Approaches for Aerospace Design: The Pursuit of Excellence , 2005 .

[7]  A. Sudjianto,et al.  An Efficient Algorithm for Constructing Optimal Design of Computer Experiments , 2005, DAC 2003.

[8]  Don Kelly,et al.  Multi-objective optimisation of composite aerospace structures , 2002 .

[9]  Richard Butler,et al.  Optimum buckling design of compression panels using VICONOPT , 1993 .

[10]  Z. Hashin Failure Criteria for Unidirectional Fiber Composites , 1980 .

[11]  David Bassir,et al.  Multiobjective stacking sequence optimization for laminated composite structures , 2009 .

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

[13]  M.H. Hassoun,et al.  Fundamentals of Artificial Neural Networks , 1996, Proceedings of the IEEE.

[14]  Chun-Gon Kim,et al.  Minimum-weight design of compressively loaded composite plates and stiffened panels for postbuckling strength by Genetic Algorithm , 2003 .

[15]  R. L. Hardy Theory and applications of the multiquadric-biharmonic method : 20 years of discovery 1968-1988 , 1990 .

[16]  Jaroslaw Sobieszczanski-Sobieski,et al.  Structural sizing by generalized, multilevel optimization , 1987 .

[17]  Y K Cheung,et al.  THE FINITE STRIP METHOD IN THE ANALYS OF ELASTIC PLATES WITH TWO OPPOSITE SIMPLY SUPPORTED ENDS. , 1968 .

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

[19]  Luca Lanzi,et al.  Post-buckling optimization of composite stiffened panels: Computations and experiments , 2006 .

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

[21]  M. H. Aliabadi,et al.  Optimal sensor positioning for impact localization in smart composite panels , 2013 .

[22]  Lothar Thiele,et al.  Comparison of Multiobjective Evolutionary Algorithms: Empirical Results , 2000, Evolutionary Computation.

[23]  Zelda B. Zabinsky,et al.  Stochastic Methods for Practical Global Optimization , 1998, J. Glob. Optim..

[24]  Chiara Bisagni,et al.  Numerical analysis and experimental correlation of composite shell buckling and post-buckling , 2000 .

[25]  Erik Lund,et al.  Post‐buckling optimization of composite structures using Koiter's method , 2016 .

[26]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[27]  Satchithanandam Venkataraman,et al.  MODELING, ANALYSIS AND OPTIMIZATION OF CYLINDRICAL STIFFENED PANELS FOR REUSABLE LAUNCH VEHICLE STRUCTURES , 1999 .

[28]  Kyriakos C. Giannakoglou,et al.  Multilevel optimization strategies based on metamodel-assisted evolutionary algorithms, for computationally expensive problems , 2007, 2007 IEEE Congress on Evolutionary Computation.

[29]  W. H. Wittrick General sinusoidal stiffness matrices for buckling and vibration analyses of thin flat-walled structures , 1968 .

[30]  Ronald Krueger,et al.  The Virtual Crack Closure Technique : History , Approach and Applications , 2002 .

[31]  A. Ismail-Yahaya,et al.  Multiobjective robust design using physical programming , 2002 .

[32]  Raphael T. Haftka,et al.  Optimization with non-homogeneous failure criteria like Tsai–Wu for composite laminates , 2006 .

[33]  Chiara Bisagni,et al.  Post-buckling optimisation of composite stiffened panels using neural networks , 2002 .

[34]  Raphael T. Haftka,et al.  Two-level composite wing structural optimization using response surfaces , 2000 .

[35]  Chiara Bisagni,et al.  A Finite Element Methodology for Analysing Degradation and Collapse in Postbuckling Composite Aerospace Structures , 2009 .

[36]  Janis Auzins,et al.  Surrogate modeling in design optimization of stiffened composite shells , 2006 .

[37]  Jasbir S. Arora,et al.  Survey of multi-objective optimization methods for engineering , 2004 .

[38]  C. Kassapoglou,et al.  Simultaneous cost and weight minimization of postbuckled composite panels under combined compression and shear , 2001 .

[39]  Raphael T. Haftka,et al.  Structural optimization complexity: what has Moore’s law done for us? , 2004 .

[40]  Stephen W. Tsai,et al.  A General Theory of Strength for Anisotropic Materials , 1971 .

[41]  Keith Worden,et al.  Impact Location and Quantification on a Composite Panel using Neural Networks and a Genetic Algorithm , 2000 .

[42]  Peter Horst,et al.  Multilevel optimization in aircraft structural design evaluation , 2008 .

[43]  Martin D. Buhmann,et al.  Radial Basis Functions , 2021, Encyclopedia of Mathematical Geosciences.

[44]  Pedro P. Camanho,et al.  An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models , 2007 .

[45]  Carlos A. Coello Coello,et al.  An updated survey of GA-based multiobjective optimization techniques , 2000, CSUR.

[46]  Wei Chen,et al.  An Efficient Algorithm for Constructing Optimal Design of Computer Experiments , 2005, DAC 2003.

[47]  David Bushnell,et al.  PANDA2: Program for Minimum Weight Design of Stiffened, Composite, Locally Buckled Panels , 1987 .

[48]  A. Winsor Sampling techniques. , 2000, Nursing times.

[49]  nasa,et al.  Activities of Institute for Computer Applications in Science and Engineering (ICASE) , 2013 .

[50]  James H. Starnes,et al.  MINIMUM-WEIGHT DESIGN OF COMPRESSIVELY LOADED STIFFENED PANELS FOR POSTBUCKLING RESPONSE , 1995 .