Stacking-sequence optimization for buckling of laminated plates by integer programming by Raphael T. Haftka

Cover of: Stacking-sequence optimization for buckling of laminated plates by integer programming | Raphael T. Haftka

Published by National Aeronautics and Space Administration, Langley Research Center in Hampton, Va .

Written in English

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Subjects:

  • Buckling.,
  • Graphite-epoxy composites.,
  • Laminates.,
  • Linear programming.,
  • Plates (Structural members),
  • Ply orientation.

Edition Notes

Book details

StatementRaphael T. Haftka, Joanne L. Walsh.
SeriesNASA technical memorandum -- 104033.
ContributionsWalsh, Joanne L., Langley Research Center.
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL16132315M

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Stacking-Sequence Optimization for Buckling of - Laminated Plates by Integer Programming Raphael T. Haftka” Virginia Polytechnic Institute and State University, Blacksburg, Virginia and Joanne L. Walsht NASA Langley Research Center, Hampton, Virginia Integer-programming formulations for the design of symmetric and balanced.

Stacking sequence and shape optimization of laminated composite plates via a level-set method Journal of the Mechanics and Physics of Solids, Vol. 97 A concurrent subspace collaborative optimization architecture to structural synthetical optimization designCited by: NASA TechnicalMemorandum / Stacking-Sequence Optimization for Buckling of Laminated Plates by Integer Programming Raphael T.

Haftka Joanne L. Walsh (NASA-TM-I) STACKING-SEQUENCE OPTIM|ZATIi]N FOR RUCKLING OF LA_INATEO PLATES BY INTFGFR PROGRAMMING (NASA) 10 CSCL P 20_ G3/39 Nqi Uncl as January, National. Stacking-sequence optimization for buckling of laminated plates by integer programming. By Joanne L. Walsh and Raphael T.

Haftka. Abstract. Integer-programming formulations for the design of symmetric and balanced laminated plates under biaxial compression are presented. Both maximization of buckling load for a given total thickness and the Author: Joanne L.

Walsh and Raphael T. Haftka. Haftka, R. and Walsh, J. () Stacking-sequence optimization for buckling of laminated plates by integer programming. AIAA Journal, 30, – CrossRef Google ScholarCited by: stacking sequence optimization issues. Haftka and Walsh4 used an integer-programming approach to perform stacking sequence optimization for buckling of laminated plates.

It was formulated as a linear problem by using ply-identity design variables, which may have values of either 0 or 1. Once it was designed as linear integer design optimization. "Buckling of Laminated Plates" *This is modified version of solution submitted by Matt Williams Introduction In this homework assignment, an integer programming problem from the paper by Haftka and Walsh, "Stacking-Sequence Optimization for Buckling of Laminated Plates by Integer Programming" (AIAA J.

30(3)) is Size: 90KB. Optimization of the stacking-sequence of laminated composite plates under buckling loads Conference Paper (PDF Available) May with Reads How we measure 'reads'. Among the algorithms for discrete convex optimization, the outer approximation method (OA) is one of the most relevant (Li and Sun,Nowak, ).First introduced by Duran and Grossmann () and then extended in Fletcher and Leyffer () and Yuan et al.

() for convex problems, the algorithm solves mixed integer programming problems through a finite sequence of alternatively Cited by: Stacking sequence and shape optimization of laminated composite plates via a level-set method G. Allaire1, G. Delgado2, July 1, 1 CMAP, UMR CNRSEcole Polytechnique, Palaiseau.

2 IRT SystemX, Palaiseau, France. Abstract We consider the optimal design of composite laminates by allowing a variable stacking sequence. In Table 1, the maximum bending strength and buckling load of the quasi symmetric square laminate are obtained at the lay-up (45/−45/−45/45) are two stacking sequences that give maximum postbuckling strength, (−45/40/70/0) S and (−45/50/20/90) ly, fiber angles of these stacking sequences are symmetric with respect to the diagonal of the square by: stacking sequence optimization of laminated structures has attracted the attention of many researchers.

Sun [1] has investigated the effects of ply stacking sequencing and the angle on the cylinder buckling pressure using a random search procedure. Adali et al. [2] presented the multiobjective optimization of laminated plates for maximum.

Enumeration search method for optimisation of stacking sequence of laminated composite plates subjected to buckling; making the problem an integer programming. Experimental and finite element analyses were used to verify the optimum solution. Bahreininejad A., Optimization of laminate stacking sequence for minimizing weight and cost Cited by: 1.

Get this from a library. Stacking-sequence optimization for buckling of laminated plates by integer programming. [Raphael T Haftka; Joanne L Walsh; Langley Research Center.]. adaptations to the GA meta-heuristic search technique for use in optimization of fiber reinforced composite laminate stacking sequence.

An adaptive selection technique is studied which incorporates the Laplace crossover operator, and uniform and power mutation operators.

The optimization example focusses on buckling of a laminate plate. This paper describes the application of a genetic algorithm to the stacking sequence optimization of a laminated composite plate for buckling load maximization. Two approaches for reducing the number of analyses required by the genetic algorithm are described.

First, a binary tree is used to store designs, affording an efficient way to retrieve them and thereby avoid repeated analyses Cited by: Stacking sequence optimization of composite laminates for maximum buckling load using permutation search algorithm Zhao Jinga, Xueling Fanb,⇑, Qin Suna a School of Aeronautics, Northwestern Polytechnical University, Xi’anChina bState Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong University, Xi’anChina.

“Stacking-sequence optimization for buckling of laminated plates by integer programming.” AIAA Jour no. 3 (): – Nagendra, Somanath, Raphael T. Haftka, and Z. Gurdal. Ply thickness tolerances in stacking sequence optimization of multilayered laminate plates programming method W alsh J.L., 1Stacking-sequence optimization for buckling of Author: Jarosław Latalski.

Abstract. Research on optimum lay-ups and buckling loads of laminated plates is briefly reviewed. A new sequential, iterative procedure, known as layerwise optimization (LO), for determining the optimum lay-ups and maximum buckling loads of symmetrically laminated rectangular plates is Cited by: Stacking-sequence optimization for buckling of laminated plates by integer programming.

An, H, Chen, S, Huang, H. Improved genetic algorithm with two-level approximation method for laminate stacking sequence optimization by considering engineering : Haichao An, Shenyan Chen, Hai Huang. The paper deals with the impact of manufacturing tolerances of plies thicknesses on optimal design of multi-layered laminated plates in compression.

It is assumed that the considered tolerances are represented by the maximum acceptable deviation of every individual ply thickness from its nominal design value.

The robustness of the optimum is achieved diminishing the buckling load amplitude. American Institute of Aeronautics and Astronautics Sunrise Valley Drive, Suite Reston, VA A new optimization algorithm is presented for manufacturable composite structure weight is optimized taking the stacking sequences as design constraints are the mechanical behavior of structure and the manufacturing manufacturing rules are taken into account using a backtracking procedure.A bilevel integer programming method is proposed to solve this by: [2] Le Riche R., Haftka R.

(), Optimization of Laminate Stacking Sequence for Buckling Load Maximization by Genetic Algorithm, AIAA Journal 31 (5) DOI: / [3] Haftka R.

T., Walsh J. L., Stacking-Sequence Optimization for Buckling of Laminated Plates by Integer Programming, AIAA Journal. () Author: Amarpreet S. Bir, Hsin Piao Chen, Hsun Hu Chen. Mechanics of Laminated Composite Materials. Hygrothermal Analysis of Laminated Composites. Laminate In-Plane Stiffness Design.

Integer Programming Techniques. Failure Criteria for Laminated Composites. Strength Design of Laminates. Laminate Design for Flexural and Combined Response. Read "Enumeration search method for optimisation of stacking sequence of laminated composite plates subjected to buckling, Open Engineering" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

Todoroki and Sasai () used the D-optimal designs for Stacking sequence optimizations using genetic algorithm with zoomed response surface on lamination parameters for maximizing the buckling load. The Present work is concerned with the optimization of stacking sequence of laminated composite plates using Distance based.

Journal of Theoretical and Applied Mechanics. | Vol. 51 nr 4 Haftka R.T., Walsh J.L.,Stacking-sequence optimization for buckling of laminated plates by integer programming, AIAA Journal, 30, 2, Combined Topology and Stacking Sequence Optimization of Composite Laminated Structures for Structural Performance Measure Gonçalo Pinto Rodrigues Thesis to obtain the Master of Science degree in Mechanical Engineering Supervisors: Prof.

José Arnaldo Pereira Leite Miranda Guedes, Prof. João Orlando Marques Gameiro Folgado Examination Committee.

Stacking sequence and shape optimization of laminated composite plates via a level-set method Stacking sequence and shape optimization of laminated composite plates via a level-set method Allaire, G.; Delgado, G.

We consider the optimal design of composite laminates by allowing a variable stacking sequence and in-plane shape of each ply. Optimization Stacking sequence design abstract Designing an optimized composite laminate requires findingthe minimum number of layers, and the best fiber orientation and thickness for each layer.

To date, several optimization methods have been intro-duced to solve this challenging problem, which is often non-linear, non-convex, multimodal. Haftka and J. Walsh, Stacking-sequence optimization for buckling of laminated plates by integer programming, AIAA J. 3 () – Crossref, Google Scholar Cited by: 1.

Do-Thi, H. Dang-Trung, T. Vo-Duy and T. Nguyen-Thoi, Optimization of laminated composite plates for maximizing buckling load using improved differential evolution and smoothed finite element method, Composite Structures, /ruct,(), ().Cited by: buckling of laminated composite plates pdf Abstract.

Thermal buckling optimization of laminated composite plates subject to a temperature rise is presented in this paper.

Aerospace structures require words structural stability, buckling, postbuckling, laminated plate. buckling, stacking sequence. 2 A GA for Stacking Sequence Design.

Optimization of the stacking sequence of laminated composite plates under buckling loads Sedyono, J., Hadavinia, H., Deng, J., Marchant, D.R.

and Garcia, J. () Optimization of the stacking sequence of laminated composite plates under buckling loads. buckling loads of symmetrically laminated plates are shown. requirements for iterative applications of a linear programming method is one of the most popular approaches to solving the structural optimization problem.

Keywords: buckling, optimization, symmetrically lam- inated plates, end conditions, sequential linear. Unfortunately, integer programming techniques require large computational resources, especially when structure complexity increases.

Fukunaga et al. [15] presented an approach to maximize buckling loads under combinedloading ofsymmetrically laminated plates, including the bending–twisting couplings or flexural anisotropy. Most practical laminate design requires integer or combina-torial optimization because the ply orientations are usually restricted to a certain set of discrete angles, for example, 0, ±45, and This leads to a nonlinear mixed integer programming problem.

Contributions to the optimization of composite structures by GA methods have. The design of composite structures against buckling presents two major challenges to the structural analyst and designer. First, the problem of laminate stacking sequence design is discrete in nature which complicates the solution process.

Second, many local optima with comparable performance may be Cited by: 5. Figure 1 shows the overall structure of an optimization approach to design. Major objectives in mechanical and structural engineering involve minimum fabrication cost, maximum product reliability, maximum stiffness/weight ratio, minimum aerodynamic drag, maximum natural frequencies, maximum critical shaft speeds, etc.

Design variables describe configuration, dimensions and sizes of elements Author: Karam Maalawi.where _ is the half-wavelength of the buckling mode and b is the plate width shown in figure 1. The sub-scripted D terms appearing in the equations are the plate bending stiffnesses of classical laminated plate theory.

The parameters a and fl characterize plate bending orthotropy, and the parameters _/and 5 char-acterize plate bending anisotropy.have used either mixed-integer programming techniques or genetic algorithms (GAs) to solve laminate stacking sequence problems with a discrete set of ply and Walsh[] formulated a buckling-load maximization of a simply supported plate, with and without ply-contiguity constraints, as a linear integer programming problem and ob-Cited by:

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