A continuum–atomistic multi-scale analysis of temperature field problems and its application in phononic nano-structures

Yasbolaghi, R.; Khoei, A.R.

doi:10.1016/j.finel.2021.103643

Finite Elements in Analysis and Design

2022

DOI: 10.1016/j.finel.2021.103643

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A continuum–atomistic multi-scale analysis of temperature field problems and its application in phononic nano-structures

R. Yasbolaghi

A.R. Khoei

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“…Molecular dynamic (MD) simulation allows for the analysis of nano-structures at the atomic level [12]. However, this method can be time-consuming and may not be practical for all situations.…”

mentioning

confidence: 99%

Fault-Tolerant Terminal Sliding Mode Control with Disturbance Observer for Vibration Suppression in Non-Local Strain Gradient Nano-Beams

Alsubaie

Alotaibi

et al. 2023

Mathematics

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This research investigates the stabilization and control of an uncertain Euler–Bernoulli nano-beam with fixed ends. The governing partial differential equations of motion for the nano-beam are derived using Hamilton’s principle and the non-local strain gradient theory. The Galerkin method is then applied to transform the resulting dimensionless partial differential equation into a nonlinear ordinary differential equation. A novel fault-tolerant terminal sliding mode control technique is proposed to address the uncertainties inherent in micro/nano-systems and the potential for faults and failures in control actuators. The proposed controller includes a finite time estimator, the stability of which and the convergence of the error dynamics are established using the Lyapunov theorem. The significance of this study lies in its application to the field of micro/nano-mechanics, where the precise control and stabilization of small-scale systems is crucial for the development of advanced technologies such as nano-robotics and micro-electromechanical systems (MEMS). The proposed control technique addresses the inherent uncertainties and potential for faults in these systems, making it a valuable choice for practical applications. The simulation results are presented to demonstrate the effectiveness of the proposed control scheme and the high accuracy of the estimation algorithm.

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mentioning

confidence: 99%

Fault-Tolerant Terminal Sliding Mode Control with Disturbance Observer for Vibration Suppression in Non-Local Strain Gradient Nano-Beams

Alsubaie

Alotaibi

et al. 2023

Mathematics

View full text Add to dashboard Cite

show abstract

Stress intensity factors, T-stresses and higher order coefficients of the Williams series expansion and their evaluation through molecular dynamics simulations

Stepanova

Belova

2022

Mechanics of Advanced Materials and Structures

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A continuum–atomistic multi-scale analysis of temperature field problems and its application in phononic nano-structures

Cited by 2 publications

References 50 publications

Fault-Tolerant Terminal Sliding Mode Control with Disturbance Observer for Vibration Suppression in Non-Local Strain Gradient Nano-Beams

Fault-Tolerant Terminal Sliding Mode Control with Disturbance Observer for Vibration Suppression in Non-Local Strain Gradient Nano-Beams

Stress intensity factors, T-stresses and higher order coefficients of the Williams series expansion and their evaluation through molecular dynamics simulations

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