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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.7 P.1044~1052

10.1631/jzus.2007.A1044


Effect of boundary conditions and convection on thermally induced motion of beams subjected to internal heating


Author(s):  MALIK Pravin, KADOLI Ravikiran, GANESAN N.

Affiliation(s):  Department of Mechanical Engineering, National Institute of Technology Karnataka, Surathkal, Srinivasnagar, 575025, India; more

Corresponding email(s):   pravin_malik@yahoo.com, rkkadoli@rediffmail.com

Key Words:  Thermal induced oscillations, Natural convection, Forced convection, Finite element analysis


MALIK Pravin, KADOLI Ravikiran, GANESAN N.. Effect of boundary conditions and convection on thermally induced motion of beams subjected to internal heating[J]. Journal of Zhejiang University Science A, 2007, 8(7): 1044~1052.

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publisher="Zhejiang University Press & Springer",
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2007.A1044

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T1 - Effect of boundary conditions and convection on thermally induced motion of beams subjected to internal heating
A1 - MALIK Pravin
A1 - KADOLI Ravikiran
A1 - GANESAN N.
J0 - Journal of Zhejiang University Science A
VL - 8
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SP - 1044
EP - 1052
%@ 1673-565X
Y1 - 2007
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2007.A1044


Abstract: 
Numerical exercises are presented on the thermally induced motion of internally heated beams under various heat transfer and structural boundary conditions. The dynamic displacement and dynamic thermal moment of the beam are analyzed taking into consideration that the temperature gradient is independent as well as dependent on the beam displacement. The effect of length to thickness ratio of the beam on the thermally induced vibration is also investigated. The type of boundary conditions has its influence on the magnitude of dynamic displacement and dynamic thermal moment. A sustained thermally induced motion is observed with progress of time when the temperature gradient being evaluated is dependent on the forced convection generated due to beam motion. A finite element method (FEM) is used to solve the structural equation of motion as well as the heat transfer equation.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[10] Lyons, W.C., 1966. Comments on heat induced vibrations of Elastic beams, plates and shells. AIAA Journal, 4:1502-1503.

[11] Manolis, G.D., Beskos, D.E., 1980. Thermally induced vibrations of beam structures. Computer Methods in Applied Mechanics and Engineering, 21(3):337-355.

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[14] Thornton, E.A., Foster, R.S., 1992. Dynamic Response of Rapidly Heated Space Structures. In: Alturi, S.N. (Ed.), Computational Nonlinear Mechanics in Aerospace Engineering, Progress in Astronautics and Aeronautics, AIAA. Washington, DC, 146:451-477.

[15] Thornton, E.A., Kim, Y.A., 1993. Thermally induced bending vibrations of a flexible rolled-up solar array. Journal of Spacecraft and Rockets, 30:438-448.

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