Free and forced vibration analysis of axially functionally graded Timoshenko beams on two-parameter viscoelastic foundation

Çalım, Faruk Fırat

doi:10.1016/j.compositesb.2016.08.008

Cited by 65 publications

(13 citation statements)

References 44 publications

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“…Yang et al [186] examined the free vibration of 2D-FGM structure and FGM Sandwich beams [187] with the help of mesh-free boundary domain integral equation method. e material gradient was found to be an important parameter which plays a vital role in natural and fundamental frequencies of FGM structure [188]. Increasing the stiffness of the layer of FGM beams, the thickness stretching phenomenon gets enhanced.…”

Section: Fgm Beamsmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

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Section: Fgm Beamsmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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“…There are papers on the dynamical behavior of AFG beams [25][26][27] based on linear theories. Calim [28] examined the oscillatory response of AFG Timoshenko beams additionally supported by a viscoelastic bed. Sarkar and Ganguli [29] considered fixed-fixed AFG Timoshenko beams and developed a closed-form-solution for oscillations.…”

Section: Introductionmentioning

confidence: 99%

A Comparison between Elastic and Viscoelastic Asymmetric Dynamics of Elastically Supported AFG Beams

2020

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This investigation compares the dynamic simulation results of perfect, elastically-supported, axially-functionally-graded (AFG) beams between viscoelastic and elastic models. When modeling and simulating the dynamics of AFG beams, the elastic model is commonly assumed so as to simplify calculations. This investigation shows how the dynamics varies if viscosity is present. The nonlinear continuous/discretized, axial/transverse motion derivation procedure is explained briefly based on Hamilton’s principle for energy/energy-loss, Kelvin–Voigt viscosity, elastic foundation assumption, and exponential functions for material and geometric variations along the axial axis. A comparison between elastic and Kelvin–Voigt viscoelastic AFG beams on an elastic foundation shows that the viscosity influences the asymmetric dynamics of AFG beams; the viscosity effects become more dominant for larger motion amplitudes, for example.

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“…Nguyen and Gan (2014) formulated the deformation response of FG cantilevered beams with tapered geometry. Calim (2016) investigated the forced and free oscillations of axially FG Timoshenko beams additionally supported by viscoelastic supports. Najafov and Sofiyev (2013) analyzed the large amplitude vibrations of FG conical shells in the presence of an elastic medium.…”

Section: Introductionmentioning

confidence: 99%

Resonant vibrations of FG viscoelastic imperfect Timoshenko beams

Ghayesh

2019

Journal of Vibration and Control

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An investigation is performed on the viscoelastic nonlinear vibrations of functionally graded imperfect Timoshenko beams. The internal viscosity is incorporated using the Kelvin–Voigt scheme. Beam's centerline stretching is the cause of geometric nonlinearities. Material property distributions follow the Mori–Tanaka model. Shear deformation and rotary inertia are incorporated using the Timoshenko theory. A slight curvature is included to account for a geometric imperfection. The coupled axial/transverse/rotational motion model is developed using Hamilton's energy/work/energy loss. Galerkin's method is used, without neglecting the longitudinal inertia/displacement, and a large dimensional discretized/truncated model is obtained. Numerical integrations, using a continuation-based technique, are employed for force/frequency diagrams. Viscosity, material gradient index, and imperfection effects on the system vibrations are investigated.

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Free and forced vibration analysis of axially functionally graded Timoshenko beams on two-parameter viscoelastic foundation

Cited by 65 publications

References 44 publications

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

A Comparison between Elastic and Viscoelastic Asymmetric Dynamics of Elastically Supported AFG Beams

Resonant vibrations of FG viscoelastic imperfect Timoshenko beams

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