Optimizing the thermoelastic axisymmetric stress in a specified cross section of a thin circular plate using heat sources

1985 ◽  
Vol 21 (8) ◽  
pp. 779-784 ◽  
Author(s):  
V. M. Vigak ◽  
V. S. Kolesov ◽  
A. V. Yasinskii
Keyword(s):  
Circular Plate ◽  
Cross Section ◽  
Heat Sources ◽  
Axisymmetric Stress ◽  
Thin Circular Plate

Effects of Phase-Lag on Thick Circular Plate with Heat Sources in Modified Couple Stress Thermoelastic Medium

2016 ◽  
Vol 32 (6) ◽  
pp. 665-671 ◽  
Author(s):  
R. Kumar ◽  
S. Devi
Keyword(s):  
Circular Plate ◽  
Couple Stress ◽  
Mathematical Formulation ◽  
Phase Lag ◽  
Heat Sources ◽  
Thermoelastic Medium ◽  
Conduction Model ◽  
Three Phase ◽  
Thick Circular Plate ◽  
Modified Couple Stress

AbstractThe main objective of the present paper is to analyze the effects of phase-lag on thick circular plate with heat sources in modified couple stress thermoelastic medium. The mathematical formulation is prepared for three-phase-lag heat conduction model subjected to prescribed normal heat flux along with stress free boundary. Laplace and Hankel transforms are used to deal the problem. The displacements, stresses and temperature change are obtained in the transformed domain. Numerical inversion technique has been used to obtain the solutions in the physical domain. The results obtained numerically for these quantities are presented graphically. Some particular cases are also discussed in the present problem.

scholarly journals Mobility Matrix of a Thin Circular Plate Carrying Concentrated Masses Based on Transverse Vibration Solution

2014 ◽  
Vol 2014 ◽  
pp. 1-15
Author(s):  
Desheng Li ◽  
Junhong Zhang
Keyword(s):  
Circular Plate ◽  
Transverse Vibration ◽  
Vibration Mode ◽  
Sound Power ◽  
Vibration Source ◽  
Thin Circular Plate ◽  
Mobility Matrix ◽  
Solution Point ◽  
Concentrated Masses ◽  
Mobility Solution

When calculating the vibration or sound power of a vibration source, it is necessary to know the point mobility of the supporting structure. A new method is presented for the calculation of point mobility matrix of a thin circular plate with concentrated masses in this paper. Transverse vibration mode functions are worked out by utilizing the structural circumferential periodicity of the inertia excitation produced by the concentrated masses. The numerical vibratory results, taking the clamped case as an instance, are compared to the published ones to validate the method for ensuring the correctness of mobility solution. Point mobility matrix, including the driving and transfer point mobility, of the titled structure is computed based on the transverse vibration solution. After that, effect of the concentrated masses on the mechanical point mobility characteristics is analyzed.

Buckling of a Thin Circular Plate Loaded by In-Plane Gravity

2005 ◽  
Vol 72 (2) ◽  
pp. 296-298 ◽  
Author(s):  
Z.-Q. Cheng ◽  
J. N. Reddy ◽  
Y. Xiang
Keyword(s):  
Circular Plate ◽  
Thin Circular Plate
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