Multiple damage detection and localization in beam-like and complex structures using co-ordinate modal assurance criterion combined with firefly and genetic algorithms

Wahab, Magd Abdel; Khatir, Abdelwahhab; Tehami, Mohamed; Khatir, Samir

doi:10.21595/jve.2016.17026

Cited by 50 publications

(3 citation statements)

References 20 publications

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“…This definition proved to be useful as several applications and problems utilized it. 30,[38][39][40][41][42] Therefore, the primary goal of this work is to analyze homogeneous, isotropic viscothermoelastic nanobeam of silicon nitride under the influence of mechanical damage. Under simply supported conditions, a thermoelasticity Green-Naghdi type-II model will be developed.…”

Section: Introductionmentioning

confidence: 99%

The influence of the mechanical damage on a viscothermoelastic nanobeam due to ramp-type heating under Green-Naghdi theory type-II

Youssef,

El-Bary

2023

The Journal of Strain Analysis for Engineering Design

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The main object of this work is to analyze viscothermoelastic homogeneous and isotropic nanobeams under the effect of mechanical damage. A Green-Naghdi type-II model of thermoelasticity has been constructed under simply supported conditions. Moreover, the Laplace transforms have been applied for the governing differential equations. Tzou iteration method with approximation has been applied to calculate the Laplace inverse transforms. The numerical results are presented and validated for use in a viscothermoelastic rectangular nanobeam of silicon nitride when it has been thermally loaded by ramp-type heating and simple support. The numerical results have been demonstrated in different figures to stand on the effects of the mechanical damage variable, mechanical relaxation times parameters, and ramp-time heat parameter on all the studied functions. We conclude that the effect of the mechanical damage variable, ramp-time heating parameter, and mechanical relaxation times parameters are highly influential on all the studied functions and thermomechanical waves.

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Section: Introductionmentioning

confidence: 99%

The influence of the mechanical damage on a viscothermoelastic nanobeam due to ramp-type heating under Green-Naghdi theory type-II

Youssef,

El-Bary

2023

The Journal of Strain Analysis for Engineering Design

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“…where are the stress components for the undamaged material. A lot of work has been done under this concept of mechanical damage [19][20][21][22][23][24][25][26][27][28]. Almost all authors who considered spherical medium in their applications assumed that the body with a spherical cavity avoids the problem of singularity in the center of the sphere.…”

Section: Introductionmentioning

confidence: 99%

Thermal shock problem of a generalized thermoelastic solid sphere affected by mechanical damage and thermal diffusion

Youssef¹

2021

J., eng., them. sci.

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A mathematical model was created in this article, which consists of a thermoelastic, unified, and isotropic rigid sphere subjected to thermal diffusion. Thermal and chemical potential shocks of a diffusive substance have loaded the sphere's bounding structure. The governing equations were established in the form of a theory of generalized thermoelastic diffusion with mechanical damage taken into account. The temperature increment, concentration, pressure, displacement, stress, and chemical potential numerical effects have been expressed in figures with different values of the mechanical damage parameter, thermal relaxation time, and diffusional relaxation time. All the studied functions are significantly affected by the mechanical damage parameter, radial distance, time, thermal, and diffusional relaxation times. In the Lord-Shulman model, heat, diffusion, and mechanical waves spread at finite speeds on the thermoelastic solid sphere.

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“…Many papers and applications have been disseminated under the above definition of mechanical damage. 17–21…”

Section: Introductionmentioning

confidence: 99%

The vibration of thermoelastic silicon nitride Nanobeam based on green-naghdi theorem type-II subjected to mechanical damage and ramp-type heat

Youssef

Alharthi

Kurdi

2021

The Journal of Strain Analysis for Engineering Design

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In this work, an analysis for thermoelastic homogeneous isotropic nanobeams under damage mechanics consideration was built. Under easily supported boundary conditions with fixed side ratios, the Green-Naghdi model type-II, an extended thermoelasticity theory model, has been utilized. For the governing differential equations, the Laplace transforms technique was used on the time variable. The answers were found in the domain of the Laplace transform. Tzou’s approximation approach based on an iteration formula was used to calculate the Laplace transform inversions numerically. The numerical findings for a rectangular silicon nitride thermoelastic nanobeam have been obtained and validated. As a case study, we assumed that the beam is thermally loaded with ramp-type heat and that its two edges are simply supported. Figures representing different scenarios have been used to display the numerical results. Mechanical damage value, ramp-time heat parameter and beam thickness are all reported to have a substantial influence on all of the examined functions.

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Multiple damage detection and localization in beam-like and complex structures using co-ordinate modal assurance criterion combined with firefly and genetic algorithms

Cited by 50 publications

References 20 publications

The influence of the mechanical damage on a viscothermoelastic nanobeam due to ramp-type heating under Green-Naghdi theory type-II

The influence of the mechanical damage on a viscothermoelastic nanobeam due to ramp-type heating under Green-Naghdi theory type-II

Thermal shock problem of a generalized thermoelastic solid sphere affected by mechanical damage and thermal diffusion

The vibration of thermoelastic silicon nitride Nanobeam based on green-naghdi theorem type-II subjected to mechanical damage and ramp-type heat

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