Transient analysis of laminated composite parabolic arches of uniform thickness

Temel, Beytullah; Noori, Ahmad Reshad

doi:10.1080/15397734.2019.1572518

Cited by 14 publications

(7 citation statements)

References 27 publications

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“…The beam is divided into 200 equal elements for each layer. The element has three nodes and six degrees of freedoms based on the first-order shear deformation theory may also be used in the finite element model [24,25].The effects of material properties of isotropic face sheets and orthotropic core, wave number and lengthto-thickness ratio (L/h) are also examined. Table 3 and 4 show the variation of non-dimensional natural frequencies of Al face sheets beam with property of core material, wave number and length-to-thickness ratio.…”

Section: Resultsmentioning

confidence: 99%

An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core

Yıldırım¹

2020

Cumhuriyet Science Journal

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The free vibration characteristics of composite sandwich beam is examined using an efficient numerical solution scheme. The simply supported beam is assumed to be composed of two isotropic face sheets and an orthotropic core. The plane elasticity formulations are used to derive the equations of motion and the reduced governing differential equation is solved by Complementary Functions Method. The dimensionless analysis of natural frequencies is done to acquire the high precision along with few divisions. The influences of material and geometric parameters on the natural frequency are also illustrated. The solutions are validated with the results obtained from finite element software and it is shown that presented method is an efficient solution technique for the vibration problems of composite beams with a core.

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Section: Resultsmentioning

confidence: 99%

An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core

Yıldırım¹

2020

Cumhuriyet Science Journal

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“…The element has two degrees of freedom at each node as translations in the nodal x and z directions. Also, the different element type can be selected to successfully modeling the beam [21]. The FGM behavior for the second case is obtained by slicing the face sheets into numerous homogeneous pieces along the axial coordinate where each slice has constant but different material properties.…”

Section: Beam and Materials Modelsmentioning

confidence: 99%

Sınır Şartlarının Ortotrpik Çekirdekli Kompozit Sandviç Kirişlerinin Doğal Frekanslarına Olan Etkisi

Yıldırım¹

2020

Çukurova Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

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The influences of different boundary conditions on the free vibration behavior of sandwich beams having an orthotropic core have been investigated. The finite element codes used in the analysis are written via MATLAB and infused into ANSYS software package. The two-dimensional beam is considered to be made of an orthotropic core and two isotropic face sheets which may be homogeneous or heterogenous. The longitudinal dominated natural frequencies are considered and effects of core and face-sheet materials on the natural frequency are also studied. The results show that the order of the natural frequencies from highest to lowest, respectively, is clamped-clamped, clamped-simply supported, simply supported-simply supported and clamped-free for the orthotropic core composite beam. Also, using Al-TiB 2 instead of pure Al layer as well as the increasing the inhomogeneity index decreases the natural frequency.

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“…The method can be applied to any arbitrary continuous function. This method has been applied in the analysis of several structures [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] and compared with other available methods like FEM, shooting method, etc. The shooting method uses the trial and error method to determine the initial conditions.…”

Section: Introductionmentioning

confidence: 99%

A powerful numerical approach for the axisymmetric bending response of shear deformable two-directional functionally graded (2D-FG) plates with variable thickness

Noori

Temel

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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In the present article, a powerful numerical approach is applied to the axisymmetric bending of 2 D-FG circular and annular plates with variable thickness. The mechanical properties of the materials of the plate are assumed to vary continuously both in the radial and thickness directions. The principle of minimum total potential energy is used to obtain the governing equations. Shear deformation is considered based on the first-order shear deformation theory (FSDT). These ODEs are solved via the Complementary Functions Method (CFM) for the first time. The novelty of this paper is the infusion of the CFM to the axisymmetric bending of a wide range of annular or circular plates, with variable thickness, radially FG (RFG), FG in thickness direction, or 2D-FG. In addition to adopting this effective numerical approach to the present class of problems, various parametric studies are presented to show the influence of material variation parameters and geometric constants on the axisymmetric bending response of the considered structures. Results of the proposed approach are validated with those carried out by FEM and those of the available published literature. An excellent agreement is observed.

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Transient analysis of laminated composite parabolic arches of uniform thickness

Cited by 14 publications

References 27 publications

An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core

An efficient method for the plane vibration analysis of composite sandwich beam with an orthotropic core

Sınır Şartlarının Ortotrpik Çekirdekli Kompozit Sandviç Kirişlerinin Doğal Frekanslarına Olan Etkisi

A powerful numerical approach for the axisymmetric bending response of shear deformable two-directional functionally graded (2D-FG) plates with variable thickness

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