Vibration of laminated composite panels and curved plates with different types of FGM composite constituent

Cívalek, Ömer

doi:10.1016/j.compositesb.2017.04.012

Cited by 26 publications

(8 citation statements)

References 94 publications

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“…In these studies, the governing equations were obtained generally based on FSDT and HSDT. The effects of the varying aspect ratio, thickness, material properties and boundary conditions on the vibration behavior of the structures were investigated using these methods (Civalek, 2017;Wu et al, 2005;Karami et al, 2006;Malekzadeh, 2008;Jodaei et al, 2012;Tornabene et al, 2014;Asadi and Aghdam, 2014).…”

Section: Free Vibration Analysis Of Fml Composite Platesmentioning

confidence: 99%

Free vibration analysis of fiber-metal laminated composite plates using differential, generalized and harmonic quadrature methods: experimental and numerical studies

Maraş

Yaman

2022

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PurposeThis study aims to demonstrate the numerical application of differential quadrature (DQ) methods and show the experimental application of free vibration analysis of fiber-metal laminated composite (FML) plates with various boundary conditions.Design/methodology/approachThe FMLs are hybrid structures consisting of fiber-reinforced polymer matrix composites such as carbon, glass, aramid and different metal sheets, and are currently widely used in the automobile, aircraft and aerospace industries. Thus, free vibration analysis of these hybrid materials is necessary for the design process. The governing equations of motion are derived based on the classical plate theory. The DQ, generalized DQ (GDQ) and harmonic DQ (HDQ) differential quadrature methods have been used to solve the governing equations of an FML composite plate numerically. The accuracy and convergence of the numerical model have been verified by comparing the results available in the published literature with the results obtained from these methods. Moreover, an experimental procedure has been performed in order to compare the results against those of the numerical methods.FindingsIt is noteworthy that a high degree of similarity and accuracy was observed between the numerical results obtained by the DQ methods and the experimental results. Thus, the present study validates the applicability of the DQ methods for designing the FML composite plates.Originality/valueIn this study, the advantages of the DQ methods have been demonstrated differently from previous studies on the vibration analysis of the FML plates.

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Section: Free Vibration Analysis Of Fml Composite Platesmentioning

confidence: 99%

Free vibration analysis of fiber-metal laminated composite plates using differential, generalized and harmonic quadrature methods: experimental and numerical studies

Maraş

Yaman

2022

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“…Researchers have employed several analytical and numerical methods to solve eigenvalue problems [34][35][36][37]. One wellknown of the methods is the differential transform method which is an efficient semi-analytic approach to solve linear and nonlinear differential equations.…”

Section: Semi-analytical Solution Using Dtmmentioning

confidence: 99%

Explicit formula to estimate natural frequencies of a double-beam system with crack

Mirzabeigy

Madoliat

Surace

2019

J Braz. Soc. Mech. Sci. Eng.

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In the present study, an analytical formula to estimate natural frequencies of a simply supported double-beam system in the presence of open crack is derived. Euler-Bernoulli hypothesis was applied to beams, and Winkler model was used for inner layer. Material properties and cross section geometry of beams could be arbitrary and different from each other. To obtain natural frequencies, Eigenvalue problem solving finally yields an algebraic equation which must be solved numerically and does not show effects of different damage parameters in the explicit form. In this regard, Rayleigh method was applied to derive explicit formulation for natural frequencies. In the case of crack occurrence, the mode shapes of intact beam were modified by adding cubic polynomial functions to represent crack effect. The unknown coefficients of polynomial functions were calculated by using boundary conditions of the system and compatibility conditions at the crack section. Using the obtained admissible functions and Rayleigh method, an explicit formulation was achieved for natural frequencies. The problem one more time was solved using the differential transform method to approve the accuracy of the analytical formulation for the cracked double-beam system. Comparison of analytical and numerical results indicates good accuracy of derived formulation for natural frequencies of the cracked double-beam system.

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“…Sahoo et al analyzed the geometrically nonlinear deflection responses of glass/epoxy composite flat/curved shell panel structure theoretically with the help of three different displacement field kinematics and Green-Lagrange strain-displacement relation [6]. Civalek studied free vibration analysis of laminated composite panels and curved plates with functionally graded materials using Love's shell theory and first-order shear deformation theory [7]. Aurojyoti et al presented a polygonal finite element for nonlinear analysis of laminated plates using Reddy's thirdorder shear deformation theory [8].…”

Section: Introductionmentioning

confidence: 99%

Effect of large deflection on laminated composite plates

Gönenli¹

2022

Sigma J Eng Nat Sci - Sigma Müh Fen Bil Derg

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In this study, the effect of large deflection on the natural frequency of pre-stressed laminated composite plates with different lamination orientations is investigated. An external distributed vertical load is applied at the free edge of the plate when the other edge is clamped, and then the loading edge of the deflected plate is fixed without removing the load to model a pre-stressed curved plate case. The non -linear deflection curve of the large deflected laminated plate is obtained from the large deflection equation. The large deflection is lim ited to the deflection length corresponding to 25% of the plate length. The thin curved plate is modeled by employing the classical plate theory with a finite element analysis approach. Four different lamination orientations are used which are [0° 0° 0° 0°], [90° 0° 0° 90°], [0° 45° -45° 0°] and [0° 90° 0° 90°], which are used for the examination of large deflection. Besides, the natural frequency parameter of the present model, which is performed in MATLAB, is compared with ANSYS to verify the reliability and validity of the present model. The load parameter that forms the curved plate causes the different mode shapes for each lamination configuration.

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Vibration of laminated composite panels and curved plates with different types of FGM composite constituent

Cited by 26 publications

References 94 publications

Free vibration analysis of fiber-metal laminated composite plates using differential, generalized and harmonic quadrature methods: experimental and numerical studies

Free vibration analysis of fiber-metal laminated composite plates using differential, generalized and harmonic quadrature methods: experimental and numerical studies

Explicit formula to estimate natural frequencies of a double-beam system with crack

Effect of large deflection on laminated composite plates

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