Dynamic deflection and contact force histories of graphene platelets reinforced conical shell integrated with magnetostrictive layers subjected to low-velocity impact

Al-Furjan, M.S.H.; Farrokhian, A.; Mahmoud, S.R.; Kolahchi, Reza

doi:10.1016/j.tws.2021.107706

Cited by 52 publications

(12 citation statements)

References 44 publications

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“…In this work, in order to solve the motion equations and determine the dynamic instability region (DIR), DQM is employed. Hence, different order of differential equations of cylindrical shell can be converted to set of algebraic equations using following relations 21–32

\frac{d^{n} F ((),, x_{i}, θ_{j})}{{italicdx}^{n}} goodbreak= \sum_{k = 1}^{N_{x}} A_{ik}^{(n)} F ((),, x_{k}, θ_{j}) n goodbreak= 1, \dots, N_{x} goodbreak- 1,

\frac{d^{m} F ((),, x_{i}, θ_{j})}{d θ^{m}} goodbreak= \sum_{l = 1}^{N_{θ}} B_{jl}^{(m)} F ((),, x_{i}, θ_{l}) m goodbreak= 1, \dots, N_{θ} goodbreak- 1,

\frac{d^{n + m} F ((),, x_{i}, θ_{j})}{{dx}^{n} d θ^{m}} goodbreak= \sum_{k = 1}^{N_{x}} \sum_{l = 1}^{N_{θ}} A_{ik}^{(n)} B_{jl}^{(m)} F ((),, x_{k}, θ_{l}),

in which

A_{ik}^{(n)}

as well as

B_{jl}^{(m)}

define weighting coefficients and are expressed as

A_{}

…”

Section: Solving Proceduresmentioning

confidence: 99%

The effect of pharmaceutical nanoparticles and atherosclerosis in aorta artery on the instable blood velocity based on numerical method

Motaghedifar

Fakhar

Tabatabaei

et al. 2022

Numer Methods Biomed Eng

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In medicine field, dynamic investigation of aorta artery has received attention due to its notable functions and significance upon performance of heart and individual health. Because, aortic injuries cause lethal occurrences having numerous mortality rates. Therefore, more probes, in particular, dynamic response of aorta arteries conveying blood flow containing pharmaceutical nanoparticles is essential. In present research, we attempt to model biomechanically the dynamic instability assessment of aorta arteries with atherosclerosis in tissue matrix conveying blood including pharmaceutical magnetic nanoparticles. Thus, according to classical cylindrical shell theory, the aorta arteries will be considered as elastic cylindrical vessels and symmetric lipid tissue is utilized in order to model atherosclerosis in the artery. Applying magnetic field to nanoparticles results in attraction of lipid tissue in artery. Moreover, the nature of blood flow is regarded non‐Newtonian based on Casson, Carreau, and power law models. Using Hamilton's principle, the motion equations are derived and based on differential quadrature method, the dynamic instability region of aorta artery is obtained. The influences of different variables such as magnetic field, magnetic nanoparticle's volume percent, combined effects of the tissue, lipid's height and length, and non‐Newtonian models upon dynamic behavior of aorta artery are investigated. According to the results, increase in lipid's height leads to increase in resonance frequency of aorta arteries.

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\frac{d^{n} F ((),, x_{i}, θ_{j})}{{italicdx}^{n}} goodbreak= \sum_{k = 1}^{N_{x}} A_{ik}^{(n)} F ((),, x_{k}, θ_{j}) n goodbreak= 1, \dots, N_{x} goodbreak- 1,

\frac{d^{m} F ((),, x_{i}, θ_{j})}{d θ^{m}} goodbreak= \sum_{l = 1}^{N_{θ}} B_{jl}^{(m)} F ((),, x_{i}, θ_{l}) m goodbreak= 1, \dots, N_{θ} goodbreak- 1,

\frac{d^{n + m} F ((),, x_{i}, θ_{j})}{{dx}^{n} d θ^{m}} goodbreak= \sum_{k = 1}^{N_{x}} \sum_{l = 1}^{N_{θ}} A_{ik}^{(n)} B_{jl}^{(m)} F ((),, x_{k}, θ_{l}),

in which

A_{ik}^{(n)}

as well as

B_{jl}^{(m)}

define weighting coefficients and are expressed as

A_{}

…”

Section: Solving Proceduresmentioning

confidence: 99%

The effect of pharmaceutical nanoparticles and atherosclerosis in aorta artery on the instable blood velocity based on numerical method

Motaghedifar

Fakhar

Tabatabaei

et al. 2022

Numer Methods Biomed Eng

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“…[ 1–6 ] In the face of complex and harsh environment, the theoretical research on the dynamic performance and dynamic stability of composite materials under dynamic load is becoming more and more in‐depth. [ 7–10 ] Due to many complex external loads, the composite structure will produce large vibration and noise problems, which will bring security risks such as performance stability to the structure and equipment. This is why the sandwich structure has become the focus of attention due to its high specific strength, sound absorption, vibration reduction, large stiffness, lightweight, and other obvious characteristics.…”

Section: Introductionmentioning

confidence: 99%

Design of lightweight damping core for composite sandwich structure

et al. 2022

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The damping performance and lightweight design requirements of composite sandwich structure core were studied. A series of low density damping cores were prepared by blending epoxy/polyurethane graft copolymer (E-g-U) and epoxy/poly mercaptan block copolymer (E-b-M) with different contents of hollow glass beads (HGM). The damping properties, mechanical properties, density, and interface morphology of the core layer were studied. The damping response and flexure properties of the sandwich composite structure were studied by modal analysis and three-point flexure test. The experimental results show that optimal damping performance of matrix appears at 60% E-b-M ratio, the peak loss factor is 0.88, and the damping temperature range covers À2 $ 52 C. When the HGM content in the core is 10 phr, the density can be comparable to that of the buoyancy material. Under flexural load, the ultimate shear strength and shear modulus of the sandwich structure increase maximum at 15 phr and 10 phr, respectively. Compared with the unfilled HGM sample, the first three modal damping ratios of the sandwich structure are increased by 133.2%, 56.6%, and 56% by 10 phr damping core, respectively. The results are compared with those in other reference. The research shows that the design of lightweight damping core is expected to provide a core material selection for the vibration reduction of sandwich structures.damping core, damping ratio, flexural properties, low density, sandwich structure | INTRODUCTIONComposite materials have developed from rice straw reinforced clay and reinforced concrete used in ancient times to advanced composite materials nowadays. Their bearing capacity and multi-functional characteristics have been developed incisively and vividly. They have been widely studied and applied in aerospace industry, marine structure design, seismic building construction, and sensor detection. [1][2][3][4][5][6] In the face of complex and harsh environment, the theoretical research on the dynamic performance and dynamic stability of composite materials under dynamic load is becoming more and more in-depth. [7][8][9][10] Due to many complex external loads, the composite structure will produce large vibration and noise problems, which will bring security risks such as performance stability to the structure and equipment. This is why the sandwich structure has become the focus of attention due to its high specific strength, sound absorption, vibration reduction, large stiffness, lightweight, and other obvious characteristics. [11][12][13]

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“…Keshtegar et al [15] studied dynamic instability analysis in hybrid polymer nanocomposite beam on the basis of exponential shear deformation higher order beam theory. Low-velocity impact analysis of sandwich nanocomposite truncated conical shells reinforced by Graphene platelets was presented by Al-Furjan et al [18] on the basis of higher order theory of shell. Roy et al [19] focused on the free vibration analysis of composite laminated hybrid shells on the basis of higher order modified zigzag theory.…”

Section: Introductionmentioning

confidence: 99%

Influences of fiber reinforced polymer layer on the dynamic deflection of concrete pipes containing nanoparticle subjected to earthquake load

et al. 2021

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A numerical solution for dynamic analysis induced by earthquake load in concrete pipes containing SiO 2 nanoparticles warped by fiber reinforced polymer (FRP) layer is utilized in the present paper on the basis of Mori-Tanaka model.The FRP layer is used as reinforcement for the concrete pipe. Utilizing the cylindrical higher order shell theory, the concrete pipe is mathematically simulated and the related governing relations are derived based on. Utilizing numerical methods of Newmark and Galerkin, the dynamic displacement of the concrete pipe is obtained. The influence of FRP layer and its thickness, volume fraction and agglomeration of nanoparticle, boundary conditions and length to radius ratio of the concrete pipe is studied on the dynamic deflection of the concrete pipe. Numerical outcomes illustrate that the FRP layer can reduces the dynamic deflection significantly.

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Dynamic deflection and contact force histories of graphene platelets reinforced conical shell integrated with magnetostrictive layers subjected to low-velocity impact

Cited by 52 publications

References 44 publications

The effect of pharmaceutical nanoparticles and atherosclerosis in aorta artery on the instable blood velocity based on numerical method

The effect of pharmaceutical nanoparticles and atherosclerosis in aorta artery on the instable blood velocity based on numerical method

Design of lightweight damping core for composite sandwich structure

Influences of fiber reinforced polymer layer on the dynamic deflection of concrete pipes containing nanoparticle subjected to earthquake load

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