A layerwise p-version finite element formulation for free vibration analysis of thick composite laminates with curvilinear fibres

Yazdani, Saleh; Ribeiro, Pedro

doi:10.1016/j.compstruct.2014.10.030

Cited by 58 publications

(18 citation statements)

References 22 publications

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“…The same kind of analysis was performed by Ribeiro [182] for the evaluation of nonlinear modes of vibration of thin cylindrical shells with curvilinear fibers. A new p-version finite element formulation was employed by Akhavan and Ribeiro [183] and Yazdani and Ribeiro [184] in order to estimate the free vibration of laminates manufactured by tow-placement machines using the Third-order Shear Deformation Theory (TSDT). Lastly, free vibration analysis of thin cylindrical shallow shells made up of layers with curvilinear fibers was investigated in the paper by Ribeiro [185], where a parametric study is also performed in order to evaluate the effect of the curvature paths on the natural frequencies and mode shapes and to find the factors which mainly influence the dynamic analysis of variable-stiffness shells.…”

Section: Introductionmentioning

confidence: 99%

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Tornabene

Fantuzzi

Bacciocchi

et al. 2015

Composites Part B: Engineering

112

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Section: Introductionmentioning

confidence: 99%

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Tornabene

Fantuzzi

Bacciocchi

et al. 2015

Composites Part B: Engineering

112

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“…Theoretical investigations and numerical models were carried out for analyzing their buckling [19][20][21] and post-buckling [22][23][24] response, in most cases referring to thin plate theory or FSDT [25]. Refined theories have been less commonly employed: the free vibration response of variable-stiffness plates (VSP) is investigated in [26,27] using finite elements, while the authors presented a variable-kinematics, Ritz-based procedure for buckling and free-vibration analysis [28] of VSP based on Carrera's Unified Formulation (CUF) [29][30][31]. Tornabene and co-workers discussed the application of variable-kinematics approaches for analyzing the modal and static response of variable-stiffness laminates [32,33] and sandwich constructions [34,35].…”

Section: Introductionmentioning

confidence: 99%

Thermal Buckling Behaviour of Thin and Thick Variable-Stiffness Panels

Vescovini

Dozio

2018

J. Compos. Sci.

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The possibility of designing composite panels with non-uniform stiffness properties offers a chance for achieving highly-efficient configurations. This is particularly true for buckling-prone structures, whose response can be shaped through a proper distribution of the membrane and bending stiffnesses. The thermal buckling behaviour of composite panels is among the aspects that could largely benefit from the adoption of a variable-stiffness design, but, in spite of that, it has rarely been addressed. The paper illustrates a semi-analytical approach for evaluating the thermal buckling response of variable-stiffness plates (VSP) by considering different boundary conditions. The formulation relies upon the method of Ritz and a variable-kinematic approach, leading to a computationally efficient implementation, which is particularly useful for exploring the larger design spaces, typical of variable-stiffness configurations. Due to the possibility of choosing the underlying kinematic approach as an input of the analysis, the formulation is not restricted to thin plates, but is suitable for analyzing the response of thick plates as well. Novel results are derived, which can be useful for benchmarking purposes and for gathering insight into the mechanical behaviour of variable-stiffness plates. Furthermore, the importance of transverse shear flexibility is illustrated with respect to the boundary conditions as well as the degree of steering of the fibers.

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“…The authors corroborate the findings of the present authors published in [28] that transverse shear deformation has a bigger impact on tow-steered than straightfibre laminates. Yazdani and Ribeiro [29] and Yazdani et al [30] recently published layerwise extensions of the earlier works by Akhavan and co-workers on the free vibration and bending behaviour of tow-steered laminates cited above. Finally, Tornabene et al [31] studied the free vibrations of doubly curved, variable-stiffness shells using a generalised higher-order model implemented via Carrera's Unified Formulation (CUF) using a local differential quadrature method.…”

Section: Variable-stiffness Laminated Compositesmentioning

confidence: 92%

A computationally efficient 2D model for inherently equilibrated 3D stress predictions in heterogeneous laminated plates. Part II: Model validation

Groh

2016

Composite Structures

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General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. AbstractThe higher-order, equivalent single-layer model developed in Part I is applied to the stretching and bending of exemplar multilayered flat plates, where the results are compared with different 3D models, and trends and insights are subsequently drawn. The present mixed displacement/stress-based model is derived from inherently equilibrated 3D stress fields that satisfy the interlaminar and surface traction equilibrium conditions. A new set of governing equations is derived from a contracted Hellinger-Reissner functional that only enforces the classical membrane and bending equations via Lagrange multipliers. Combined with the fact that the same set of stress resultants is used for all stress fields, the number of unknown variables of the theory reduces, while maintaining sufficient fidelity to capture higher-order transverse shearing and zig-zag effects. A wide range of stacking sequences are considered ranging from orthotropic straight-fibre laminates to sandwich panels with variable-stiffness face sheets, i.e. composite plies in which the reinforcing fibres describe curvilinear paths. Hence, the model is used to study laminated plates with 3D heterogeneity, that is laminates comprising layers with material properties that can differ by multiple orders of magnitude and that vary continuously in-plane. The governing equations are solved both analytically using trigonometric expansions and numerically using the pseudo-spectral differential quadrature method. The 3D stress fields predictions correlate closely with 3D elasticity and 3D finite element solutions and are accurate to within a few percent for thick plates with characteristic length to thickness ratios as small as 5:1. In fact, the results suggest that 3D stress fields from our model satisfy Cauchy's 3D equilibrium equations more accurately, and at a three-order degree of freedom reduction in computational cost, compared to high-fidelity 3D FEM models.

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A layerwise p-version finite element formulation for free vibration analysis of thick composite laminates with curvilinear fibres

Cited by 58 publications

References 22 publications

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Thermal Buckling Behaviour of Thin and Thick Variable-Stiffness Panels

A computationally efficient 2D model for inherently equilibrated 3D stress predictions in heterogeneous laminated plates. Part II: Model validation

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