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Pathania, S.
- Thermoelastic Waves Propagation in Layered Plates in Anisotropic Media
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Authors
Affiliations
1 Department of Mathematics, H.P.U.R.C.Dharamshala-176215 India, IN
2 Department of Mathematics, National Institute of Technology, Hamirpur-177005, IN
1 Department of Mathematics, H.P.U.R.C.Dharamshala-176215 India, IN
2 Department of Mathematics, National Institute of Technology, Hamirpur-177005, IN
Source
Research Journal of Science and Technology, Vol 5, No 1 (2013), Pagination: 123-129Abstract
Analysis for the propagation of thermoelastic waves in transversely isotropic plates is investigated, commencing with a formal analysis of waves in a layered plate of transversely isotropic media with viscous fluid on both sides, the dispersion relations of thermoelastic waves are obtained by invoking continuity at the interface and boundary of conditions on the surfaces of layered plate. The secular equations for governing the symmetric and antisymmetric wave motion of the plate, in completely separate terms, are derived. Finally, in order to illustrate the analytical results, the numerical solution is carried out for transversely isotropic plate of zinc material bordered with water. The results have been deduced and compared with the existing one in relevant publications available in the literature at various stages of this work.Keywords
Lamb Waves, Viscous, Relaxation Time, Biot’s Constant, Anisotropic.
References
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- Study of Free Vibrating Structures Coupled with Fluid
Abstract Views :600 |
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Authors
S. Pathania
1,
P.K. Sharma
1
Affiliations
1 Department of Mathematics, National Institute of Technology, Hamirpur (H.P.), 177005, IN
1 Department of Mathematics, National Institute of Technology, Hamirpur (H.P.), 177005, IN
Source
Research Journal of Science and Technology, Vol 5, No 1 (2013), Pagination: 189-193Abstract
Vibrations of circular plates in contact with inviscid liquid are studied. The wet dynamic displacement of the plate is approximated by combining the orthogonal modal functions of a dry circular plate with a clamped boundary condition. Various boundary conditions for the plate have been observed and the wet dynamic modal functions of the plate are derived by using a compatibility requirement along the contacting surface between the plate and the liquid. The kinetic energy and potential energy of the system is analytically evaluated for plate and incompressible liquid. Rayleigh–Ritz method is used to find the natural frequencies and mode shapes for symmetric and asymmetric modes.Keywords
Free Vibration, Circular Plate, Velocity Potential, Rayleigh-Ritz Method, Eigen value.References
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- Vibration 311(2008) 372–385.
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