Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads

Abouelregal, Ahmed E.; Sedighi, Hamid M.; Malikan, Mohammad; Eremeyev, Victor A.

doi:10.1002/zamm.202100310

Cited by 8 publications

(5 citation statements)

References 79 publications

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“…The examination of nanoscale machines or actuators necessitates an exploration of the axial velocity exhibited by certain components inside the device. The axial velocities of nanoscale devices are contingent upon their design and operation and can be influenced by mechanical, electrical, or thermal inputs [55,56].…”

Section: Numerical Outcomes and Discussionmentioning

confidence: 99%

Effect of non‐local modified couple stress theory on the responses of axially moving thermoelastic nano‐beams

Abouelregal

2023

Z Angew Math Mech

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The present study examines the lateral thermal vibrations of a nanobeam subjected to an axial motion while being influenced by a sinusoidal thermal load. The partial differential equation describing the system was obtained using the extended Hamiltonian principle. Also considered were the Euler‐Bernoulli (EB) beam, the nonlocal couple stress theory, and Eringen's nonlocal elasticity model. This type of axially moving beam has multiple applications in design, including industrial, civil, structural, chemical, and computer engineering. The Laplace transform technique is utilized to translate partial differential equations into a thermoelastic differential equation of the sixth order. This study investigates the impact of nanobeam size and velocity on thermo‐mechanical characteristics. To explore the impacts of axial velocity, pulse width, nonlocal index, material length scale coefficient, and phase lag coefficients on the examined studied fields, such as lateral vibration and temperature change for the moving nanobeam are calculated. The specified factors were discovered to impact the flexibility and dynamic response of the nanobeam substantially.

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Section: Numerical Outcomes and Discussionmentioning

confidence: 99%

Effect of non‐local modified couple stress theory on the responses of axially moving thermoelastic nano‐beams

Abouelregal

2023

Z Angew Math Mech

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“…In Figure 5, it can be observed that M is very sensitive to changes in the nonlocal parameter. This is due to the effect of hardening the stiffness of the length scale parameter, which corresponds with [57]. Suppose one looks at the numerical numbers displayed in Figure 5.…”

Section: Numerical Outcomes and Discussionmentioning

confidence: 99%

An Axially Compressed Moving Nanobeam Based on the Nonlocal Couple Stress Theory and the Thermoelastic DPL Model

2023

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This article introduces a new model that can be used to describe elastic thermal vibrations caused by changes in temperature in elastic nanobeams in response to transverse external excitations. Using the idea of nonlocal elasticity and the dual-phase lagging thermoelastic model (DPL), the coupled equations of motion and heat transfer were derived to explain small-scale effects. Additionally, modified couple stress theory (MCST) and Euler–Bernoulli (EB) beam assumptions were considered. The proposed theory was verified by considering the thermodynamic response of nanobeams moving horizontally at a constant speed while one end is subjected to a periodic thermal load. The system of governing equations has been solved numerically with the help of Laplace transforms and one of the tested evolutionary algorithms. The effects of changing the nonlocal modulus, the magnitude of the external force, and the length scale parameter on the system fields were investigated. It is also shown how the behavior of the thermal nanobeam changes depending on the phase delay factors in addition to the horizontal velocity of the beam. To determine this model’s accuracy, its results were compared with the results of the classical continuity model and thermoelastic concepts. The numerical results show that when the nanobeam moves, the length scale can change the studied thermal and mechanical vibration wave patterns and physical fields. Additionally, during thermally stimulated vibrations, thermodynamic effects that have implications for the dynamic design and performance improvement of nanostructures must be considered.

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“…Numerical calculations of a cobalt-like substance with a cylindrical hole were performed using Mathematica software programming. The mechanical and thermal characteristics of a cobalt-like material are described as [ 69 ] …”

Section: Numerical Example and Discussionmentioning

confidence: 99%

Fractional Moore-Gibson-Thompson heat transfer model with nonlocal and nonsingular kernels of a rotating viscoelastic annular cylinder with changeable thermal properties

Abouelregal

Alesemi

2022

PLoS ONE

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Long hollow cylinders are commonly utilized in various technological applications, including liquid and gas transmission. As a result, its value is growing, becoming increasingly important to many research efforts. Compared with thermal isotropic homogeneous cylinders, thermo-viscoelastic orthotropic cylinders have less relevant data. In this paper, a thermoelastic fractional heat conduction model was developed based on the Moore-Gibson-Thompson equation to examine the axial symmetry problem of a viscoelastic orthotropic hollow cylinder. Atangana and Baleanu derivative operators with nonsingular and nonlocal kernels were used in constructing the fractional model. The thermal properties of the cylinder materials are assumed to be temperature-dependent. The Laplace transform is applied to solve the system of governing equations. The numerical calculations for temperature, displacement, and stress components are performed by the effect of fractional order, rotation, and changing thermal properties of the cylinder. The results showed that due to the presence of fractional derivatives, some properties of the physical fields of the medium change according to the value of the fractional order.

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Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads

Cited by 8 publications

References 79 publications

Effect of non‐local modified couple stress theory on the responses of axially moving thermoelastic nano‐beams

Effect of non‐local modified couple stress theory on the responses of axially moving thermoelastic nano‐beams

An Axially Compressed Moving Nanobeam Based on the Nonlocal Couple Stress Theory and the Thermoelastic DPL Model

Fractional Moore-Gibson-Thompson heat transfer model with nonlocal and nonsingular kernels of a rotating viscoelastic annular cylinder with changeable thermal properties

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