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The dynamic response of a heat conducting solid bar of polygonal cross section
subjected to moving heat source is discussed using the Fourier expansion collocation method
(FECM). The equations of motion are formulated using the three dimensional constitutive
equation of elasticity and generalized thermo elastic equation composed of linear
homogeneous isotropic material. Three displacement potential functions are introduced to
uncouple the equations of motion and the heat conduction. The frequency equations are
obtained by satisfying the boundary conditions along the surface of the polygonal solid bar
using Fourier expansion collocation method. The numerical calculations are carried out for
triangular, square, pentagonal and hexagonal cross sectional bars with different moving heat
source speeds. Dispersion curves are plotted for longitudinal and flexural (antisymmetric)
modes of non dimensional frequency.
Keywords: polygonal cross sections of a solid bar; elastic bars with fluid; wave propagation in bar; moving heat source; dynamics in plates and panels, vibration of arbitrary cross sectional plates, vibration of thermoelastic bar, vibration generalized thermoelastic cylinder. |
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