Optimal fibre orientation for simply-supported, angle-ply plates under biaxial compression

Muc, Aleksander

doi:10.1016/0263-8223(88)90005-0

Cited by 71 publications

(18 citation statements)

References 7 publications

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“…They are summarized in Muc (1988), Muc and Gurba (2001). In general, they tend to indicate that the theory for composites is rather in good agreement with experiments.…”

Section: Buckling and The First-ply-failure Of Platesmentioning

confidence: 71%

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Analytical discrete stacking sequence optimization of rectangular composite plates subjected to buckling and FPF constraints

Muc¹,

Chwał²

2016

jtam

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A special type of new discrete design variables is introduced in order to find optimal stacking sequences for laminated structures. Using the proposed new design variables, we demonstrate how to find analytical (i.e. without any numerical optimization algorithm) optimal solutions for laminates made of plies having three different fibre orientations: 0• . It is proved that the definition of design variables enables us to distinguish two types of optimal solutions, i.e. unimodal and bimodal ones. The form of optimal stacking sequences affects the multiplicity (bimodal problems) or uniqueness (unimodal problems) of the solutions. The decoding procedure between membrane and flexural design variables is also proposed. The results demonstrate the effectiveness, simplicity and advantages of the use of design variables, especially in the sense of the accuracy, repeatability of results and convergence of the method.

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“…They are summarized in Muc (1988), Muc and Gurba (2001). In general, they tend to indicate that the theory for composites is rather in good agreement with experiments.…”

Section: Buckling and The First-ply-failure Of Platesmentioning

confidence: 71%

“…m and m + 1) -see also Muc (1988) (continuous angle-ply orientations). Let us note that the identical procedure is conducted in the buckling analysis of isotropic structures although the solutions are not called the bimodal ones.…”

Section: Bimodal Solutionsmentioning

confidence: 91%

Analytical discrete stacking sequence optimization of rectangular composite plates subjected to buckling and FPF constraints

Muc¹,

Chwał²

2016

jtam

Self Cite

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“…The second constraint is called a bimodal solution. For continuous ply orientations, the relation (10) can be sat'rafted exactly and we can find even analytical solutions [14]. For discrete optimization variables, Eq.…”

Section: S T M Nmentioning

confidence: 99%

Sandwich plates-free vibrations and damping analysis

Muc¹,

Zuchara²

1998

Mech Compos Mater

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“…In the design optimization of laminated composites, the possible approaches may be divided into three categories: (i) fibers are assumed to be straight in each layer of an angle-ply laminate [3], (ii) fibers are assumed to be straight in each layer, but each ply can have different fiber angles [4,5], and (iii) in each ply, fiber orientations vary as functions of position (spatial fiber orientations resulting in varying stiffness properties over the whole structure) [6,7]. Fiber orientations may be considered as continuous or discrete design variables.…”

Section: Introductionmentioning

confidence: 99%

Choice of Design Variables in the Stacking Sequence Optimization for Laminated Structures

Muc

2016

Mech Compos Mater

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A special type of new, continuous design variables is introduced in order to find optimum solutions for discrete fiber orientations. In the buckling analysis, as two or three different fiber orientations are considered, optimum solutions can be found in an analytical way. For a greater number of discrete fiber orientations, a special optimization algorithm based on the evolution strategy is used to solve the combinatorial optimization problems dealing with the optimum design of the laminate stacking sequence. The analysis is conducted with the example of simply supported rectangular multilayered composite plates subjected to buckling and the first-ply-failure constraints. The results demonstrate the effectiveness, simplicity, and advantages of the use of continuous design variables in the discrete optimization problem.

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Optimal fibre orientation for simply-supported, angle-ply plates under biaxial compression

Cited by 71 publications

References 7 publications

Analytical discrete stacking sequence optimization of rectangular composite plates subjected to buckling and FPF constraints

Analytical discrete stacking sequence optimization of rectangular composite plates subjected to buckling and FPF constraints

Sandwich plates-free vibrations and damping analysis

Choice of Design Variables in the Stacking Sequence Optimization for Laminated Structures

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