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1
Content available Refined multi-phase-lags theory and Thomson effect on a micropolar thermoelastic medium with voids
Alharbi Amnah M., Abd-Elaziz Elsayed M., Othman Mohamed I.A.
Archives of Thermodynamics
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2021
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Vol. 42, no 3
279--309
EN
The problem considered is that of an isotropic, micropolar thermoelastic medium with voids subjected to the Thomson effect. The solution to the problem is presented in the context of the refined multiphase-lags theory of thermoelasticity. The normal mode analysis was used to obtain the analytical expressions of the considered variables. The nondimensional displacement, temperature, microrotation, the change in the volume fraction field and stress of the material are obtained and illustrated graphically. The variations of these quantities have been depicted graphically in the refined-phase-lag theory, Green and Naghdi theory of type II, Lord and Shulman theory and a coupled theory. The effects of the Thomson parameter and phase lag parameters on a homogeneous, isotropic, micropolar thermoelastic material with voids are revealed and discussed. Some particular cases of interest are deduced from the present investigation.
2
Content available Electro-hydrodynamic convection in a rotating dielectric micropolar fluid layer
Kaur H., Verma G. N.
International Journal of Applied Mechanics and Engineering
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2019
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Vol. 24, no. 4
106--124
EN
Thermal convection of a rotating dielectric micropolar fluid layer under the action of an electric field and temperature gradient has been investigated. The dispersion relation has been derived using normal mode analysis. The effects of the electric Rayleigh number, micropolar viscosity, Taylor number and Prandtl number on stability and over stability criteria are discussed. It is found that rotation postpones the instability in the fluid layer, while the Prandtl number and rotation both have a stabilizing effect. It is also observed that the micropolar fluid additives have a stabilizing effect, whereas the electric field has a destabilizing effect on the onset of convection stability.
3
Content available A two dimensional problem on laser pulse heating in thermoelastic microelongated solid
Ailawalia Praveen, Sachdeva Sunil Kumar, Pathania Devinder Singh
Archives of Thermodynamics
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2019
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Vol. 40, no 2
69--85
EN
In the present discussion, the plane strain deformation due to laser pulse heating in a thermoelastic microelongated solid has been discussed. The analytic expressions for displacement component, force stress, temperature distribution and micro-elongation have been derived. The effect of pulse rise time and micro-elongation on the derived components have been depicted graphically.
4
Content available Two-dimensional deformation in a thermoelastic solid with microtemperatures subjected to an internal heat source
Ailawalia P., Budhiraja S., Singh J.
International Journal of Applied Mechanics and Engineering
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2018
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Vol. 23, no. 1
5--21
EN
The purpose of this paper is to study the two dimensional deformation in a generalized thermoelastic medium with microtemperatures having an internal heat source subjected to a mechanical force. The force is acting along the interface of generalized thermoelastic half space and generalized thermoelastic half space with microtemperatures having an internal heat source. The normal mode analysis has been applied to obtain the exact expressions for the considered variables. The effect of internal heat source and microtemperatures on the above components has been depicted graphically.
5
Content available Analiza drgań własnych przekładni zębatej małej mocy
Noga S., Markowski T.
Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika
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2017
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z. 89 [295], nr 4
517--528
PL
W artykule omówiono drgania własne przekładni zębatej małej mocy, dedykowanej do współpracy z pompą hydrauliczną stoiska hamownianego. W procesie analizy wykorzystano metodę elementów skończonych i komercyjne oprogramowanie ANSYS. Analizę drgań omawianego układu prowadzono dwuetapowo. W pierwszej kolejności wyznaczono częstości własne drgań poprzecznych kół zębatych z uwzględnieniem rotacji kół. Następnie, wykorzystując opracowane wykresy Campbella, wyznaczono prędkości wzbudzenia poszczególnych częstości drgań własnych poprzecznych omawianych kół. W dalszej kolejności analizowano drgania własne korpusu reduktora. Rozważono dwa przypadki obliczeniowe. W pierwszym przypadku uwzględniono tylko masę i geometrię korpusu zasadniczego i pokrywy. W drugim przypadku uwzględniono dodatkowo masę poszczególnych kół oraz ich geometryczny rozkład. Na podstawie opracowanych modeli numerycznych wyznaczono pierwszych dziesięć częstości drgań własnych i odpowiadające im formy własne korpusu reduktora. Następnie wyniki te wykorzystano do oszacowania poziomu naprężeń w ściankach korpusu dla dopuszczalnej wartości przyspieszenia. Prezentowana w pracy metodyka może być pomocna inżynierom zajmującym się analizą drgań przekładni zębatych.
EN
This paper discusses the free vibrations of the low-power gear which is dedicated to cooperate with the hydraulic pump of the test rig. The finite element (FE) method and the commercial ANSYS software are employed. The vibration analysis of the discussed system is performed in two stages. Firstly the natural frequencies of the free transverse vibration of the gears are obtained with including the centrifugal effect. Next, on the basis of the elaborated Campbell diagrams, the excitation speeds for selected natural frequencies of the analyzed wheels are obtained. Then, the free vibrations of the reduction gear are analyzed and two computational cases are discussed. In the first computing case, only the mass and geometry of all parts of the body are taken into account. In the second case, the mass of the toothed gears is also included. Based on the elaborated FE models, the first ten natural frequencies and natural mode shapes of the reduction gear are obtained. Then, these results are used to estimate the stress level in the walls of the body for the permissible acceleration value. Presented investigation can be attractive for design engineers dealing with the dynamics of complex systems.
6
Content available Response of thermoelastic micropolar cubic crystal under dynamic load at an interface
Ailawalia P., Sachdeva S. K., Pathania D.
International Journal of Applied Mechanics and Engineering
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2017
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Vol. 22, no. 1
5--23
EN
The purpose of this paper is to study the two dimensional deformation in a thermoelastic micropolar solid with cubic symmetry. A mechanical force is applied along the interface of a thermoelastic micropolar solid with cubic symmetry (Medium I) and a thermoelastic solid with microtemperatures (Medium II). The normal mode analysis has been applied to obtain the exact expressions for components of normal displacement, temperature distribution, normal force stress and tangential coupled stress for a thermoelastic micropolar solid with cubic symmetry. The effects of anisotropy, micropolarity and thermoelasticity on the above components have been depicted graphically.
7
Content available remote Internal Heat Source in Temperature Rate Dependent Thermoelastic Medium with Hydrostatic Initial Stress
Ailawalia P., Budhiraja S.
Mechanics and Mechanical Engineering
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2016
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Vol. 20, nr 3
263--275
EN
The present work is devoted to study the effect of hydrostatic initial stress in an infinite isotropic generalized thermoelastic medium with the dependence of modulus of elasticity and thermal conductivity on the reference temperature. In view of calculating general problems, a numerical solution technique is to be used. For this purpose, the normal mode analysis method is chosen. The results for the displacement components, force stress and temperature distribution are illustrated graphically with some comparisons. The numerical results are given and presented graphically for Lord–Shulman theory of thermoelasticity when mechanical force is applied.
8
Content available remote Eigenvalue approach to coupled thermoelasticity with temperature dependent modulus of elasticity in an isotropic elastic medium with a cylindrical hole
Lahiri A., Das B.
International Journal of Applied Mechanics and Engineering
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2011
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Vol. 16, no 2
411-423
EN
The fundamental equations of coupled thermoelasticity in an isotropic elastic medium with a cylindrical cavity under the dependence of the modulus of elasticity on the reference temperature have been written in the form of a vector-matrix differential equation and solved by the eigenvalue approach. The normal mode analysis is used to obtain the expressions for stresses and temperature when the lateral surface of the cylinder is kept at ambient temperature. Finally, numerical computations of the stresses and temperature have been made and presented graphically. Comparisons are made with the results obtained in the case of temperature independent modulus of elasticity.
9
Content available remote The Thermal Relaxation Effect on 2-D Problems of the Generalized Linear Thermo-Viscoelasticity
Othman M. I. A.
Mechanics and Mechanical Engineering
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2009
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Vol. 13, nr 1
45-62
EN
In this paper we introduced the normal mode analysis for two-dimensional problems of the generalized linear thermo-viscoelasticity with one relaxation time. The exact expressions for the temperature distribution, the displacement components and the stress are obtained. The resulting formulation is applied to three different concrete problems. The first deals with a thick plate subjected to a time-dependent heat source on each face. The second concerns to the case of a heated punch moving across the surface of a semi-infinite thermo-viscoelastic half-space subjected to appropriate boundary conditions and the third problem deals with a plate with thermo-isolated surfaces subjected to a time-dependent compression. Numerical results are given and illustrated graphically for each problem. Comparisons are made with the results predicted by the coupled theory.
10
Effect of hydrostatic initial stress in orthotropic generalized thermoelastic half-space
Ailawalia P.
Journal of Technical Physics
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2009
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Vol. 50, no 4
417-431
EN
The present problem is concerned with the deformation of an orthotropic thermoelastic medium with hydrostatic initial stress, under the influence of mechanical/thermal source acting on the plane surface. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution. The numerical results are given and presented graphically for the LORD-SHULMAN theory of thermoelasticity [1] when mechanical/thermal source is applied. Comparisons are made in the presence and absence of hydrostatic initial stress and anisotropy.
11
Content available remote Effect of Rotation in Case of 2-D Problems of the Generalized Thermoelasticity with Thermal Relaxation
Othman M. I. A.
Mechanics and Mechanical Engineering
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2005
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Vol. 9, nr 2
115--130
EN
The mode of two-dimensional equations of generalized thermo-elasticity with one relaxation time under the effect of rotation is studied using the theory of thermo-elasticity recently proposed by Lord-Shulman. The normal mode analysis is used to obtain the exact expressions for the temperature distributions, the displacement components and thermal stresses. The resulting formulation is applied to two different concrete problems. The first concerns to the case of a heated punch moving across the surface of a semi-infinite thermo-elastic half-space subjected to appropriate boundary conditions. The second deals with a thick plate subjected to a time-dependent heat source on each face. Numerical results are given and illustrated graphically for each problem. Comparisons are made with the results predicted by the coupled theory and with the theory of generalized thermo-elasticity with one relaxation time in the absence of rotation.
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