An efficient approach for in-plane free and forced vibrations of axially functionally graded parabolic arches with nonuniform cross section

Nooni, Ahmad Reshad; Aslan, Timuçin Alp; Temel, Beytullah

doi:10.1016/j.compstruct.2018.05.077

Cited by 47 publications

(16 citation statements)

References 45 publications

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“…These results are in accordance with those presented in [2] for clamped simply supported boundary condition case. The beating phenomenon occurs for tubes under DL loading similar to the other types of loadings, e.g., half rectified sine load [54], as it was reported in [17] for a tube under 300 sequential DL cycles. Figure 16 shows hoop stress variation of tubes subjected to three detonation loading, made of steel, FGM I, FGM IV, and FGM VII materials.…”

Section: Elasto-dynamic Analysissupporting

confidence: 67%

On the vibrational responses of thin FGM tubes subjected to internal sequential moving pressure

Malekan

Khosravi

Zanin

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Dynamic load in tubes due to detonation has plenty of applications such as the oil pipeline system and pulse detonation engine. Various experimental, analytical, and numerical investigations have been made to study the elastic-dynamic behaviors of tubes under internal moving pressure, with few studies dedicated to elastic-plastic analysis of this kind of problem. The investigation of elastic-plastic response of a tube made of homogeneous and nonhomogeneous (functionally graded material-FGM) materials subjected to the internal moving pressure (gaseous detonation) is the specific objective of this study. FGM is a newly well-established type of composite materials that its material contents are varying gradually along a user-defined direction. In this work, the effect of non-homogeneity on the vibrational response of the tube was studied using an axisymmetric FE model, which developed by Abaqus ® commercial package accompanied by VUMAT, VDLOAD, and VUSDFLD user-written subroutines. Different detonation load velocities were considered based on the tube material properties, i.e., according to the critical velocities. The presented results showed that the variation of stress/strain fields against time was affected by the gradation of FGM material. In addition, FGM material can help to withstand against the detonation loads, specifically when there are multiple sequential detonations or a high-pressure detonation load.

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Section: Elasto-dynamic Analysissupporting

confidence: 67%

On the vibrational responses of thin FGM tubes subjected to internal sequential moving pressure

Malekan

Khosravi

Zanin

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…The variable functions of E and ρ are now defined. The function of Young's modulus E of AFGM is arbitrary, such as linear [8,11,13], polynomial [3,[5][6][7]12,18], exponential [4,7,16,17], and periodic [7,12] functions previously reported in the literature. In this study, the function E is chosen as a quadratic polynomial based on a single variable θ.…”

Section: Configuration Of Symmetric Circular Archmentioning

confidence: 99%

“…Malekzadeh et al [14,15] studied free vibrations of the arch with temperature-dependent properties which is more applicable to laterally functionally graded arch. For AFG arch, Rajasekaran [16] investigated the free vibration of the parabolic arch using DTEM; Noori et al [17] studied forced vibrations of the parabolic arch using the complementary functions method combined with the Laplace transform; and Lee and Lee [18] studied the free vibration of uniform circular AFG arch. Most of previous works, however, have focused on the arches of conventional cross-section (e.g., circle and rectangle) with homogenous properties in the axial direction.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration of AFG Circular Arch with Symmetric and Anti-symmetric Boundary Conditions at Mid-Arc

Lee

2020

Symmetry

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This paper studies the in-plane free vibration of axially functionally graded (AFG) circular arches with non-uniform cross-section. The geometric and material properties of circular arches with regular polygon cross-section vary symmetrically about the mid-arc along the axial direction in quadratic polynomial form. The governing differential equations of the motion are derived, and the symmetric and anti-symmetric boundary conditions of the arches are developed for applying initial and boundary value problems in the solution method. The computed results agree well with the results of the finite element software ADINA. The effects of geometrical and material parameters on the natural frequency and mode shape of AFG circular arches are investigated.

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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.…”

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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An efficient approach for in-plane free and forced vibrations of axially functionally graded parabolic arches with nonuniform cross section

Cited by 47 publications

References 45 publications

On the vibrational responses of thin FGM tubes subjected to internal sequential moving pressure

On the vibrational responses of thin FGM tubes subjected to internal sequential moving pressure

Free Vibration of AFG Circular Arch with Symmetric and Anti-symmetric Boundary Conditions at Mid-Arc

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

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