Interactions in a Modified Couple Stress Thermoelastic Beam with and Without Energy Dissipation
Keywords:
Modified Couple Stress Theory, Isotropic Solid, Nanobeam, Laplace transform, Energy DissipationAbstract
In this paper a simple bending in thermoelastic beam with and without energy dissipation has been studied by applying modified couple stress theory. Constant heat flux is applied normally to the upper surface of the beam. The mathematical model is formulated using the Laplace transform and Euler-Bernoulli assumptions. Lateral deflection, thermal moment, and axial stress average of the beam due to heat flux are obtained. To show the effects of energy dissipation under various boundary conditions resulting quantities are calculated numerically and presented graphically. The effect of GN-II and GN-III theories has been investigated. Some particular cases of interest are also discussed in the present problem.
DOI: https://doi.org/ 10.24321/2455.7021.202513
How to cite this article:
L Parveen, Kaur H, Interactions in a Modified
Couple Stress Thermoelastic Beam with and
Without Energy Dissipation, J Adv Res Appl Math
Stat, Vol 10, Issue 3&4 2025: Pg. No. 28-44.
References
Lee SY, Kuo YH. Static analysis of nonuniform Timoshenko beams. Computers & structures. 1993 Mar 3;46(5):8
-20.
Romano F. Deflections of Timoshenko beam with varying cross-section. International journal of mechanical scie
nces. 1996 Aug 1;38(8-9):1017-35.
Zenkour AM. Elastic behaviour of an orthotropic beam/one-dimensional plate of uniform and variable thicknes
s. Journal of engineering mathematics. 2002 Dec;44(4):331-44.
Zhang W, Turner KL. Thermoelastic damping in the longitudinal vibration: analysis and simulation. InASME Inter
national Mechanical Engineering Congress and Exposition 2004 Jan 1 (Vol. 47144, pp. 145-149).
Vengallatore S. Analysis of thermoelastic damping in laminated composite micromechanical beam resonators. J
ournal of Micromechanics and Microengineering. 2005 Dec 1;15(12):2398-404.
