Dynamic instability of nanocomposite <scp>piezoelectric‐</scp>leptadenia pyrotechnica rheological elastomer‐porous functionally graded materials micro viscoelastic beams at various strain gradient higher‐order theories

Al-Furjan, M.S.H.; Yang, Yuning; Farrokhian, A.; Shen, Xing; Kolahchi, Reza; Rajak, Dipen Kumar

doi:10.1002/pc.26373

Cited by 37 publications

(11 citation statements)

References 38 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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“…The density and Young's modulus of LPRE layer are ρ c ¼ 1627kg=m 3 and E c ¼ 131e9GPa. Loss and shear storage modulus are [23] given as follows:…”

Section: Core Layermentioning

confidence: 99%

“…A numerical solution to analyze the forced vibration of elastic multilayered spheres was studied by Gallezot et al [21] Keshtegar et al [22] presented the propagation of wave and vibration beam porous integrated nanocomposite piezoelectric layers. The dynamic stability analysis of a sandwich microbeam with a viscoelastic core was studied by Al-Furjan et al [23] Al-Furjan et al [24] presented vibration response and energy absorption of auxetic smart porous FG conical curved panels resting on the viscoelastic frictional torsional substrate.…”

Section: Introductionmentioning

confidence: 99%

Influence of LPRE on the size‐dependent phase velocity of sandwich beam including FG porous and smart nanocomposite layers

et al. 2022

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This article evaluates the wave velocity of a leptadenia pyrotechnica rheological elastomer (LPRE) microbeam surrounded by micro piezoelectric and porosity of functionally graded materials' (FGMs) layers. Different models of graphene nano plates (GPLs) for reinforcing the face sheet are assumed by adopting Halpin–Tsai modified micromechanics theory to obtain the Poisson's ratio and Young modulus of the smart layer. The material properties of the whole system as a viscoelastic state are hypothesized using the Kelvin–Voigt theory. The motion final equations are gained by utilizing the theory of Timoshenko and the couple stress model. An analytical solution method is adopted for computing the velocity of wave, cutoff frequency, and escape frequency from the motion final equations. The influences of different distribution and volume percent of GPLs, FGM properties as well as gradient index, the numeral parameter of any layer, damping of structure, and exerted voltage on the velocity of wave microbeam are studied. Moreover, it has been seen that a rise in the FGM index leads to reduced phase velocity, cutoff, and escape frequencies. Meanwhile, enhancing the volume percent of GPLs increases the wave velocity of the microstructure beam.

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“…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. [ 11–13 ]…”

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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Dynamic instability of nanocomposite piezoelectric‐leptadenia pyrotechnica rheological elastomer‐porous functionally graded materials micro viscoelastic beams at various strain gradient higher‐order theories

Cited by 37 publications

References 38 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

Influence of LPRE on the size‐dependent phase velocity of sandwich beam including FG porous and smart nanocomposite layers

Design of lightweight damping core for composite sandwich structure

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