On dual-phase-lag magneto-thermo-viscoelasticity theory with memory-dependent derivative

Aldawody, Dalia A.; Hendy, Mohamed H.; Ezzat, Magdy A.

doi:10.1007/s00542-018-4194-6

Cited by 22 publications

(6 citation statements)

References 46 publications

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“…https://www.indjst.org/ (29) ; [Ezzat and El-Bary, 2017] (30) ; [Norouzi and Alibeigloo, 2017] (31) ; [Oskouie et al, 2017] (32) ; [Hien and Lam, 2018] (33) ; [Aldawody et al, 2019] (34) ; [Feri et al, 2021] (35) By using this method an nth order differential equation can be reduced to a set of n first-order differential equations which makes it an efficient tool to apply for both the linear and non-linear systems. It can be applied to both time-invariant and time-variant systems.…”

Section: Review On Viscoelastic Dampingmentioning

confidence: 99%

Dynamic Modelling and Control of Flexible Link Manipulators: Methods and Scope - Part 2

Mishra¹,

Singh²

2021

IJST

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Objectives: This paper addresses two key issues in the area of flexible robotics. The issues are vibration control of flexible links and trajectory control of flexible robots. A brief, yet, significant review is provided that addresses these two issues. Methods: For vibration control of flexible links, possibilities of the use of passive and active damping methods are explored in the literature. After that, the effect of proper trajectory planning to ensure positional accuracy at the end-effector is studied. Findings: After a review of 181 research papers from the year 1970 to 2021, it has been found that the vibration suppression of flexible links can be achieved through the application of viscoelastic materials, piezoelectric materials, and optimum trajectory planning. Recent trends in research in the area of flexible manipulators show that an optimal trajectory can significantly help in reduction of link vibrations and achievement of positional accuracy simultaneously. Novelty: The novelty of the present work lies in exploring the possible application of passive and active damping control methods for vibration suppression of flexible link manipulators. Besides that, the survey also highlights how well planned trajectory may help achieve accurate tip positioning of flexible robots.

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Section: Review On Viscoelastic Dampingmentioning

confidence: 99%

Dynamic Modelling and Control of Flexible Link Manipulators: Methods and Scope - Part 2

Mishra¹,

Singh²

2021

IJST

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“…0, the DPL model simplifies to Fourier's law, a technique in which a temperature gradient is produced throughout a material volume over time t þ t u will not give rise to a thermal flux at a point x within that volume until the later time t þ t q . Refer to El-Karamany and Ezzat (2013Ezzat ( , 2014; Othman and Abd-Elaziz (2017), Othman and Eraki (2018); Othman et al (2019); and Aldawody et al (2019) for further information on the DPL model. Tzou and Guo (2010) has expanded their DPL model by incorporating the nonlocal length, which is depicted as:…”

Section: Introductionmentioning

confidence: 99%

State-space approach to nonlocal thermo-viscoelastic piezoelectric materials with fractional dual-phase lag heat transfer

Ezzat

Ezzat²,

Alkharraz³

2022

HFF

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Purpose The purpose of this study is to develop a comprehensive size-dependent piezoelectric thermo-viscoelastic coupling model that accounts for two fundamentally distinct size-dependent models that govern fractional dual-phase lag heat transfer and viscoelastic deformation, respectively. Design/methodology/approach The fractional calculus has recently been shown to capture precisely the experimental effects of viscoelastic materials. The governing equations are combined into a unified system, from which certain theorems results on linear coupled and generalized theories of thermo-viscoelasticity may be easily established. Laplace transforms and state–space approach will be used to determine the generic solution when any set of boundary conditions exists. The derived formulation is used to two concrete different problems for a piezoelectric rod. The numerical technique for inverting the transfer functions is used to generate observable numerical results. Findings Some analogies of impacts of nonlocal thermal conduction, nonlocal elasticity and DPL parameters as well as fractional order on thermal spreads and thermo-viscoelastic response are illustrated in the figures. Originality/value The results in all figures indicate that the nonlocal thermal and viscoelastic parameters have a considerable influence on all field values. This discovery might help with the design and analysis of thermal-mechanical aspects of nanoscale devices.

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“…Zenkour & Abouelregal [14] studied axially moving microbeam due to sinusoidal pulse heating. Moreover, other several researchers such as, Povstenko [15,16], Marin [17][18][19], Abbas et al [20], Sharma & Grover [21], Abd-Alla & Abbas [22], Othman & Abbas [23], Abbas & Othman [24], Abbas & Youssef [25], Kumar & Abbas [26], Abbas [27][28][29], Ezzat et al [30], Othman & Marin [31], Aldawody et al [32], Lata & Kaur [33][34][35][36], Abbas [29], Sharma & Marin [37] worked on the different theories of thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

“…[30], Othman & Marin [31], Aldawody et al. [32], Lata & Kaur [33–36], Abbas [29], Sharma & Marin [37] worked on the different theories of thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Transversely isotropic visco‐thermo‐elastic nanobeam with time harmonic laser pulse and new modified three phase lag Green‐Nagdhi model

Kaur¹,

Singh

Craciun

et al. 2021

Z Angew Math Mech

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This investigation aims to examine the impact of the time-harmonic laser pulse on the vibration phenomenon in 2D homogeneous transversely isotropic homogeneous visco-thermoelastic nanobeam with a new modified three-phase lag Green Nagdhi (TPL-GN) model. The ends of the nanobeam are considered to be simply supported and held at a constant temperature. The mathematical model so formed is solved to derive the non-dimensional expressions for lateral deflection, axial displacement, temperature distribution, axial stress, and thermal moment. Effect of frequency and viscosity with new modified TPL GN heat transfer is represented graphically for lateral deflection, axial displacement, temperature distribution, axial stress, and thermal moment using the MATLAB software. Comparisons are made with the different theories of thermoelasticity and visco-thermoelasticity. Some particular cases are also deduced.

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On dual-phase-lag magneto-thermo-viscoelasticity theory with memory-dependent derivative

Cited by 22 publications

References 46 publications

Dynamic Modelling and Control of Flexible Link Manipulators: Methods and Scope - Part 2

Dynamic Modelling and Control of Flexible Link Manipulators: Methods and Scope - Part 2

State-space approach to nonlocal thermo-viscoelastic piezoelectric materials with fractional dual-phase lag heat transfer

Transversely isotropic visco‐thermo‐elastic nanobeam with time harmonic laser pulse and new modified three phase lag Green‐Nagdhi model

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