Optimization of symmetric laminates for maximum buckling load including the effects of bending-twisting coupling

Walker, Mark; Adali, Sarp; Verijenko, V.E.

doi:10.1016/0045-7949(95)00138-7

Cited by 49 publications

(17 citation statements)

References 13 publications

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“…From Elastic symmetries are also evident looking at the polar curves of the elastic components for laminate (21), as illustrated in Figure 2 (the curve for the coupling coefficient B 11 is concentrated around the origin, since B = O). Units are in MPa and the horizontal and vertical axes represent the x-and y-directions, respectively.…”

Section: A Design Problem Of Type 0: In-plane and Bending Orthotropy mentioning

confidence: 89%

“…In order to appreciate the precision of solution (21) and to verify the respect of elastic symmetries, we give the corresponding values for the global objective function I(P) and for each sub-objective in Table 3 (we remind that exact solutions correspond to I(P) = 0, see section 2), as well as its elastic polar parameters for in-plane, bending and coupling stiffness in Table 4.…”

Section: A Design Problem Of Type 0: In-plane and Bending Orthotropy mentioning

confidence: 99%

“…a design problem of type 1. We ran a number of calculations over constrained problems belonging to this type using BIANCA and we were able to find lots of solutions [21]. Nevertheless, for sake of conciseness, we do not show them here, since in the next sections we will show more solutions found by running BIANCA on complex constrained problems of type 2.…”

Section: A Design Problem Of Type 0: In-plane and Bending Orthotropy mentioning

confidence: 99%

“…where the tensor norm ||D|| is defined as (but a different definition of norm is also possible): Values of ortho for solutions (21) to (27) are given in Table 11, and they show the very good agreement with the requirement of bending orthotropy.…”

Section: Comparison With Solutions Existing In the Literaturementioning

confidence: 99%

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Optimization of Laminated Composites by Using Genetic Algorithm and the Polar Description of Plane Anisotropy

Vincenti

Vannucci

Ahmadian

2013

Mechanics of Advanced Materials and Structures

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The object of the present work is the development and application of a quite general approach to optimal design of composite laminates where elastic symmetries can also be explicitly expressed as criteria of the optimisation process. Our formulation is in the form of a highly non linear and non convex single-or multi-objective optimisation problem subject to equality and inequality constraints. We show here applications to the design of maximum stiffness, maximum buckling load, maximum eigenfrequencies, maximum strength for laminated plates, as well as combinations of the afore mentioned criteria; all types of elastic symmetries can be taken into account. We show here a number of numerical solutions found using the genetic algorithm BIANCA.

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Section: A Design Problem Of Type 0: In-plane and Bending Orthotropy mentioning

confidence: 89%

Section: A Design Problem Of Type 0: In-plane and Bending Orthotropy mentioning

confidence: 99%

Section: A Design Problem Of Type 0: In-plane and Bending Orthotropy mentioning

confidence: 99%

Section: Comparison With Solutions Existing In the Literaturementioning

confidence: 99%

See 2 more Smart Citations

Optimization of Laminated Composites by Using Genetic Algorithm and the Polar Description of Plane Anisotropy

Vincenti

Vannucci

Ahmadian

2013

Mechanics of Advanced Materials and Structures

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“…Optimization of composite structures with respect to ply angles to maximize the critical buckling load is necessary to realize the full potential of fibre-reinforced materials. Numerous researchers have demonstrated the benefits of design optimization in the literature, and some examples that account for in-plane loading are presented by Adali (1994), Adali et al (1996), Joshi and Iyengar (1985), Kam and Chang (1993), Miki (1986), Muc (1988), Walker et al (1995) and Walker et al (1997a).…”

Section: Introductionmentioning

confidence: 99%

A technique for optimally designing fibre-reinforced laminated plates with manufacturing uncertainties for maximum buckling strength

Walker¹,

Hamilton²

2005

Engineering Optimization

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This article describes a procedure to design symmetrically laminated plates for maximum buckling load with manufacturing uncertainty in the ply angle, which is the design variable. It is assumed that the probability of any tolerance value occurring within the tolerance band, compared with any other, is equal. The methodology is flexible enough to allow any appropriate problem formulation and search algorithm to be substituted. Three different tolerance scenarios are used for the purposes of illustrating the methodology, and plates with varying aspect ratios and loading ratios are optimally designed and compared.

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Optimization of Laminated Composites and Overview of Smart Material Applications

Adali

2003

Modern Trends in Composite Laminates Mechanics

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The issues, problems and techniques concerning the optimization of laminated composites are discussed and specific cases of design optimization are presented. After a general introduction to methods of optimization of composites with emphasis on genetic algorithms, a discussion of design and decision variables is given and problem complexities are highlighted. This is followed by specific examples of composites design under deterministic conditions, and in particular, stiffness and strength optimization, thermal buckling, and optimization with multiple objectives are studied. The design uncertainties are the subject of the separate chapter where design optimization techniques such as convex modelling and anti-optimization are illustrated again by means of specific examples involving uncertain material, load and geometric data. Section 6 provides an overview of the properties and applications of widely used smart materials which is followed by some specific examples of the use of smart materials in vibration control and composite design applications. It is noted that sections 1-5 (except the material on genetic algorithms) are an abridged version of the material in Adali (2003) which is being published in these Lecture Notes with the permission of CRC Press.

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Optimization of symmetric laminates for maximum buckling load including the effects of bending-twisting coupling

Cited by 49 publications

References 13 publications

Optimization of Laminated Composites by Using Genetic Algorithm and the Polar Description of Plane Anisotropy

Optimization of Laminated Composites by Using Genetic Algorithm and the Polar Description of Plane Anisotropy

A technique for optimally designing fibre-reinforced laminated plates with manufacturing uncertainties for maximum buckling strength

Optimization of Laminated Composites and Overview of Smart Material Applications

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