Vibration analysis of electro-magneto transversely isotropic non-local thermoelastic cylinder with voids material

Sharma, Sita Ram; Mehalwal, Jai Chand; Sarkar, Nantu; Sharma, Dinesh Kumar

doi:10.1016/j.euromechsol.2021.104455

Cited by 10 publications

(3 citation statements)

References 50 publications

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“…Sharma et al [15] studied generalized thermoelastic hollow cylinder analytically with the effect of 3-phase-lag model and analyzed the results graphically. Sharma et al [16,17] explored the free vibration analysis of electro-magneto nonlocal elastic cylinder and sphere with voids in the context of generalized thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Free Vibrations in Homogeneous Isotropic Rigidly Fixed Thermoelastic Circumferential Spherical Curved Plates

Sharma¹,

Sharma

2022

Trends Sci

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The 1st and 2nd class vibrations of rigidly fixed thermoelastic spherical curved plates have been presented in this article. After mathematical modeling, the obtained equations have been solved by applying normal mode analysis. The uncoupled equation has been considered as 1st class vibrations named toroidal vibrations, remains independent of temperature variations. The coupled system of equations which is considered as 2nd class vibrations named spheroidal vibrations. The series solution of matrix Fröbenius method has been applied to coupled system of ordinary differential equations to obtain potentials and temperature. Fixed point iteration numerical technique has been applied to analytical results with the assistance of MATLAB software tools. Computational techniques have been applied to analytical results and numerically generated data has been represented graphically for frequencies, dissipation factor, displacements and temperature. HIGHLIGHTS The 1st and 2nd class vibrations of rigidly fixed thermoelastic spherical curved plates have been presented in this article The uncoupled equation has been considered as 1st class vibrations named toroidal vibrations, remains independent of temperature variations The coupled system of equations which is considered as 2nd class vibrations named spheroidal vibrations The series solution of matrix Fröbenius method has been applied to couple system of ordinary differential equations to obtain potentials and temperature Computational techniques have been applied to analytical results and numerically generated data has been represented graphically for frequencies, dissipation factor, displacements and temperature GRAPHICAL ABSTRACT

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Section: Introductionmentioning

confidence: 99%

Analysis of Free Vibrations in Homogeneous Isotropic Rigidly Fixed Thermoelastic Circumferential Spherical Curved Plates

Sharma¹,

Sharma

2022

Trends Sci

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“…In the preview of generalized thermoelasticity, Sharma et al. [35] studied the free vibrations in the nonlocal transversely isotropic electro‐magneto thermoelastic hollow cylinder with voids. In the context of Eringen's model of nonlocal elasticity and the model of generalized thermoelasticity with one relaxation time, Das et al.…”

Section: Introductionmentioning

confidence: 99%

“…Pathania and Dhiman [33,34] studied the Rayleigh-Lamb waves in the homogeneous isotropic, and anisotropic thermoelastic plate with vacuous cavities, sandwiched between inviscid fluid layers on both sides in the context of LS generalization. In the preview of generalized thermoelasticity, Sharma et al [35] studied the free vibrations in the nonlocal transversely isotropic electro-magneto thermoelastic hollow cylinder with voids. In the context of Eringen's model of nonlocal elasticity and the model of generalized thermoelasticity with one relaxation time, Das et al [36] formulated the new constitutive relations and the field equations.…”

Section: Introductionmentioning

confidence: 99%

Generalized thermoelastic waves in a homogeneous anisotropic plate with voids

Pathania

Dhiman

2022

Z Angew Math Mech

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In this contribution, the thermoelastic Lamb waves in the homogeneous, transversely isotropic, plate with voids have been investigated in the context of classical and non‐classical theories of thermoelasticity. To investigate the problem, the fundamental governing equations have been developed in a unified way. On the solutions of these governing equations, the thermal and mechanical stress‐free boundary conditions, as well as constraints due to voids, have been imposed. The solutions of governing equations indicate that there exists a coupled system of wave motion called thermal waves (T‐mode), void wave motion (V‐mode), and elastic waves (E‐mode). However, the shear horizontal component of elastic wave decouples from the system is unaffected by elasto‐poro‐thermal coupling. For the symmetric and anti‐symmetric families of vibrations, the secular equation for the wave motion along with its special cases has been derived. To discover the wave characteristics, the secular equation has been solved using the numerical‐functional iteration method in MATLAB software, and the findings have been manifested by plotting the graphs. It has been concluded that the presence of voids affects the magnitudes of phase velocity, attenuation coefficient, and specific loss. This work may be helpful for geophysicists and engineers in the field of earthquake engineering. The developers of modern facilitating things such as acoustic touch screens, liquid viscosity sensors, etc. which are based on Lamb‐type wave propagation may also get benefitted.

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Vibrations of nonlocal poro-thermoelastic plates of irregular boundaries

Selvamani

Ebrahami

2023

Acta Mech

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Vibration analysis of electro-magneto transversely isotropic non-local thermoelastic cylinder with voids material

Cited by 10 publications

References 50 publications

Analysis of Free Vibrations in Homogeneous Isotropic Rigidly Fixed Thermoelastic Circumferential Spherical Curved Plates

Analysis of Free Vibrations in Homogeneous Isotropic Rigidly Fixed Thermoelastic Circumferential Spherical Curved Plates

Generalized thermoelastic waves in a homogeneous anisotropic plate with voids

Vibrations of nonlocal poro-thermoelastic plates of irregular boundaries

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