Design of variable–stiffness laminates using lamination parameters

Setoodeh, Shahriar; Abdalla, Mostafa; Gürdal, Zafer

doi:10.1016/j.compositesb.2005.12.001

Cited by 208 publications

(84 citation statements)

References 22 publications

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“…Setoodeh [9] and Abdalla [10] realized an optimum local property by distributing the lamination parameters in the plate optimally, and it was shown that plates with local properties were stiffer and had higher natural frequencies than plates with homogenous properties. However, they did not determine the optimum fiber shapes from the distributed parameters.…”

Section: Introductionmentioning

confidence: 99%

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Natural frequencies and vibration modes of laminated composite plates reinforced with arbitrary curvilinear fiber shape paths

Honda

Narita

2012

Journal of Sound and Vibration

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The development of tow-placement technology has made it possible to control fiber tows individually and place fibers in curvilinear distinct paths in each layer of a laminated plate. This paper presents an analytical method for determining natural frequencies and vibration modes of laminated plates having such curvilinear reinforcing fibers. Spline functions are employed to represent arbitrarily shaped fibers, and Ritz solutions are used to derive frequency equations using series type shape functions. The strain energy is evaluated by numerical integration involving the fiber orientation angle, and is calculated using the derivative of the spline function in minute intervals. The results show that the natural frequencies obtained by the present method agree well with results from finite element analyses. The vibration mode shape contour plots of the plates are seen to reflect clear influences of the fiber shapes.

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Section: Introductionmentioning

confidence: 99%

“…(9). A convergence test on the integration rule is presented in Table 3 for the different numbers of divisions.…”

Section: -1 Numerical Integration and Convergence Studymentioning

confidence: 99%

Natural frequencies and vibration modes of laminated composite plates reinforced with arbitrary curvilinear fiber shape paths

Honda

Narita

2012

Journal of Sound and Vibration

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“…For the optimization of locally anisotropic composites, Setoodeh et al [9][10][11] studied the optimization of plates with local properties by employing lamination parameters which describe laminated plate properties in simple form as design variables. Blom et al [12] designed conical shells using curvilinear fibers for maximizing fundamental frequencies while imposing manufacturing constraints.…”

Section: Introductionmentioning

confidence: 99%

Vibration design of laminated fibrous composite plates with local anisotropy induced by short fibers and curvilinear fibers

Honda

Narita

2011

Composite Structures

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“…Accordingly, in [35] the authors conclude that such an issue can be potentially remedied by formulating in a proper way the design problem of VAT laminates in the framework of the two-level strategy and by trying to take into account the issue of the continuity of the bres path directly in the rst level of the strategy where the design variables are the laminate mechanical properties (i.e. the lamination parameters in the theoretical framework of [34,35]). …”

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confidence: 99%

“…A two-level strategy was employed in [34] to design a VAT laminated plate by determining rstly a discretised optimal distribution of lamination parameters and secondly an optimum lay-up corresponding to the local distribution of lamination parameters. [34] represents the rst attempt of applying a multi-scale numerical strategy (i.e. a two-level design procedure) which aims at determining, at the rst level, the optimum local (i.e.…”

mentioning

confidence: 99%