Free vibration analysis of variable stiffness composite laminate plate with circular cutout

Hachemi, M.; Hamza-Cherif, S. M.; Houmat, A.

doi:10.1080/14484846.2017.1385694

Cited by 34 publications

(14 citation statements)

References 24 publications

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“…The mapping by the blending function method [22] is given as where the functions Xitrue(ξ,ηtrue) and Yitrue(ξ,ηtrue) represent the four sides of the boundary parametric curves of the original physical domain and the function xitrue(ξ,ηtrue) and yitrue(ξ,ηtrue) signifies the x and y coordinates of the point corresponding to the coordinates ξ and η in the computational space.…”

Section: Hierarchical Finite Element Formulationmentioning

confidence: 99%

“…In order to avoid the difficulties caused by C 1 continuity elements and the shear correction factors, we used the HSDT C 0 model of Shankara and Iyengar [19,20] in this analysis. The p-version of FEM presented a great advantage in modeling of composite plate [21–23] plates, since it founded on the enrichment of the element by increasing the degree p of the hierarchical shape function, to obtain the convergence results. A new C 0 enriched curved quadrilateral p-element is developed and applied to free vibration analysis of composite laminated and sandwich square plates having a circular cutout.…”

Section: Introductionmentioning

confidence: 99%

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Free vibration analysis of composite laminated and sandwich plate with circular cutout

Hachemi

2018

Jnl of Sandwich Structures & Materials

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This paper presents the free vibration analysis of a composite laminated and sandwich square plate with circular cutout. The problem formulation is based on the higher order shear deformation plate theory HDST C0 coupled with a curved quadrilateral p-element. The elements of the stiffness and mass matrices are calculated analytically. The curved edges are accurately represented using the blending function method. A calculation program is developed to determine the fundamental frequencies for different physical and mechanical parameters such as the cutout size and location, plate thickness, fiber orientation angle and boundary conditions. The results obtained show a good agreement with the available solutions in the literature. New results for the fundamentals frequencies of composite laminated and sandwich plates with circular cutout are presented.

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Section: Hierarchical Finite Element Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of composite laminated and sandwich plate with circular cutout

Hachemi

2018

Jnl of Sandwich Structures & Materials

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“…Focusing on the structural dynamics of composite variable stiffness plates, the literature survey returns that the finite element method has been extensively employed to investigate the linear free vibrations problen using the classical lamination theory (CLPT) [3], the first order shear deformation theory (FSDT) with both equivalent single layer [4,5,6,7,8] and layerwise [9] approach, the third order shear deformation theory (TSDT) [10], high order plate theories (HODT) [11] and layerwise 3D models [12].…”

Section: Introductionmentioning

confidence: 99%

Free vibrations analysis of cracked variable stiffness composite plates by the eXtended Ritz method

Milazzo

2022

Mechanics of Advanced Materials and Structures

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Variable stiffness composite laminates show advantageous structural features related to their enlarged design space. They are attractive candidates for advanced engineering applications where the assessment of static and dynamic behaviour and strength in presence of cracks is often required. In the present work, a single-domain extended Ritz formulation is proposed to study the free vibrations of cracked variable stiffness composite plates. The plate model is based on the first-order shear deformation theory whose primary variable, i.e. displacements and rotations, are approximated via a set of orthogonal polynomial trial functions enriched with a set of special crack functions. These functions are able to inherently account for crack opening and crack tip singular fields. The plate governing equations are deduced by the stationarity of the energy functional and the formulation has been implemented in a computer code. The method has been validated by comparing the present results with literature solutions for cracked isotropic plates and uncraked variable stiffness plates as, to the best of author's knowledge, no data on cracked variable stiffness plates free vibrations are available. An explicative and representative study on the free vibrations of variable angle tow composite laminates is finally presented with the aim of illustrating the approach capabilities, providing benchmarck results and identifying distinctive features and opportunities of the variable stiffness concept for the design of advanced damage tolerant structures.

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“…The basic approach in this matter can be shown by defining the smallest degree polynomial passing through all control points, as in the Lagrangian interpolation polynomial or the Newton divided difference polynomial. Parabolic curves also find a place in the areas of practical solutions of theoretical calculations such as multi-segment trajectory tracking of the redundant space robot for smooth motion [1], free vibration analysis of a variable stiffness composite laminate square plate with circular cutout [2] and describing the viscoelastic behavior of a shape memory polymer blend [3].…”

Section: Introductionmentioning

confidence: 99%

Software Development for the Use of Generalized Parabolic Blending in Data Prediction Processes

Üstünel

2022

Sakarya University Journal of Computer and Information Sciences

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Parabolic blending (PB) is one of the important topics in applied mathematics and computer graphics. The use of generalized parabolic blending (GPB) for different scenarios adds flexibility to the polynomial. Overhauser (OVR) elements is a special case in GPB (r=0.5, s=0.5). GPB can also be used in estimation. In this study, data obtained from thickness distribution of a 3mm thick high impact polystyrene product after thermoforming using a mold was used for data estimation. For this purpose, software has been developed. The software development steps and formula usages are explained. Using the developed software, polynomials for GPB and default PB (OVR) were created. The data set was compared with the y values produced by the polynomials for certain x values. At the end of the research, it was determined that the results obtained from the GPB were 0.1728 percent more accurate than the data obtained from the PB for the default values.

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Free vibration analysis of variable stiffness composite laminate plate with circular cutout

Cited by 34 publications

References 24 publications

Free vibration analysis of composite laminated and sandwich plate with circular cutout

Free vibration analysis of composite laminated and sandwich plate with circular cutout

Free vibrations analysis of cracked variable stiffness composite plates by the eXtended Ritz method

Software Development for the Use of Generalized Parabolic Blending in Data Prediction Processes

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