Stacking sequence optimization of composite laminates for maximum buckling load using permutation search algorithm

Jing, Zhao; Fan, Xueling; Qin, Sun

doi:10.1016/j.compstruct.2014.10.031

Cited by 93 publications

(39 citation statements)

References 21 publications

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“…(2), λ cb is expressed as the sum of (λ cb ) k , which is a linear function of the flexural stiffness parameters (D ij ) k . Obviously, for a specified stacking position k, the ply orientation θ k is the only design variable in the optimization of flexural stiffness parameters and, thus, superposition principles are suitable for evaluation of the buckling load factor λ cb [24]. As a result, the maximizing of λ cb is equivalent to identification of the ply orientation θ k at stacking position k. To simplify the optimization and design processes, the buckling load factor is formulated as a linear function of the stacking sequence [24,28], therefore, the stacking sequence can be designed linearly, significantly reducing the computational cost.…”

Section: Statement Of Optimization Modelmentioning

confidence: 99%

“…Another popular method is evolutionary algorithm (EA), used in multiobjective optimization of composite laminates [22] and tapered composite structures [23]. More recently, a permutation search (PS) is proposed in [24], where a buckling load factor was expressed as discrete forms of function of ply orientations to reduce computational cost.…”

Section: Introductionmentioning

confidence: 99%

“…It is suggested that a stacking sequence of the laminate can be designed based on the classical laminate theory employing a specific designed algorithm [24,27,28]. In [27], a two-level method was developed to determine the feasible region of the lamination parameters.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Sequential permutation table method for optimization of stacking sequence in composite laminates

Jing

Qin

Silberschmidt

2016

Composite Structures

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Section: Statement Of Optimization Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sequential permutation table method for optimization of stacking sequence in composite laminates

Jing

Qin

Silberschmidt

2016

Composite Structures

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“…Ply tailoring, numbers of plies and a stacking sequence are designed separately in three phases with manufacturing constraints divided and imposed in each phase. Most recently, Jing [23][24][25] developed algorithms based on a classical lamination theory (CLT) to solve stacking-sequence optimization problem. A permutation search (PS) algorithm [23] was developed for sequence optimization as well as a sequential permutation table (SPT) method [25], with the buckling load factor expressed as a linear function of a sum of buckling load factors at every stacking position corresponding to ply orientation.…”

Section: Introductionmentioning

confidence: 99%

“…Most recently, Jing [23][24][25] developed algorithms based on a classical lamination theory (CLT) to solve stacking-sequence optimization problem. A permutation search (PS) algorithm [23] was developed for sequence optimization as well as a sequential permutation table (SPT) method [25], with the buckling load factor expressed as a linear function of a sum of buckling load factors at every stacking position corresponding to ply orientation. Besides, a global shared-layer blending (GSLB) method [24] was proposed based on the SLB method [14] to identify layer shape/ maintain blending property according to the structural thickness distribution.…”

Section: Introductionmentioning

confidence: 99%

A framework for design and optimization of tapered composite structures. Part I: From individual panel to global blending structure

Jing

Qin

Silberschmidt

2016

Composite Structures

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Additional Information:• This paper was accepted for publication in the journal Compos- b s t r a c tA novel framework to design tapered composite structures is proposed for buckling analysis with multiple manufacturing constraints, with variables dealt with separately at different levels and manufacturing constraints divided and imposed in each step. The framework is based on two techniques -a sequential permutation table (SPT) method and a global shared-layer blending (GSLB) method; a design concept is extending from an individual panel to the overall structure by improving its blending property. A problem to design an 18-panel tapered composite structure is adopted to study and validate the proposed framework; a detailed design process is executed step by step to demonstrate the improvements of blending property. Multiple manufacturing constraints are analyzed for the obtained optimal solution, which is also compared with previous studies. The high efficiency of the proposed framework implies its potential for design of large-scale composite structures with complex manufacturing constraints.

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Critical buckling load optimization of functionally graded carbon nanotube‐reinforced laminated composite quadrilateral plates

Setoodeh

Shojaee

2017

Polymer Composites

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The effective method of transformed differential quadrature (TDQ) is improved for the buckling design optimization of functionally graded (FG) carbon nanotube‐reinforced laminated composite quadrilateral (FG‐CNTRCQ) plates with arbitrary straight‐sided based on the first‐order shear deformation theory. The laminated plates with both uniformly and FG distributions of single‐walled carbon nanotubes varied along the thickness of layers are considered. The TDQ method is used to directly discretize the governing differential equations for an arbitrary straight‐sided physical domain without any need to transform the equations to the computational domain. In the presented genetic algorithm, the orientation of fibers is considered as the design parameter to obtain the optimum critical buckling loads in terms of different parameters including distributions of the fibers, number of layers, stacking sequence, CNTs volume fraction, geometrical parameters, and boundary conditions. The edges of the plates can take arbitrary end supports of simply and clamped boundary conditions. The formulation is developed based on the invariant terms to provide a systematic procedure with minimum computational cost. Some parametric studies are conducted to examine the effectiveness of the model for the design purpose of the FG‐CNTRCQ plates. POLYM. COMPOS., 39:E853–E868, 2018. © 2017 Society of Plastics Engineers

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Stacking sequence optimization of composite laminates for maximum buckling load using permutation search algorithm

Cited by 93 publications

References 21 publications

Sequential permutation table method for optimization of stacking sequence in composite laminates

Sequential permutation table method for optimization of stacking sequence in composite laminates

A framework for design and optimization of tapered composite structures. Part I: From individual panel to global blending structure

Critical buckling load optimization of functionally graded carbon nanotube‐reinforced laminated composite quadrilateral plates

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