Thermal stresses in a flexible circular plate of variable rigidity

1981 ◽  
Vol 17 (7) ◽  
pp. 669-672
Author(s):  
Ya. M. Grigorenko ◽  
N. N. Kryukov ◽  
T. G. Akhalaya
Keyword(s):  
Circular Plate ◽  
Thermal Stresses ◽  
Variable Rigidity ◽  
Flexible Circular Plate

An analytical approach of heat transfer modelling with thermal stresses in circular plate by means of Gaussian heat source and stress function

2021 ◽  
Author(s):  
Sangita Pimpare ◽  
Chandrashekhar Shalik Sutar ◽  
Kamini Chaudhari
Keyword(s):  
Boundary Condition ◽  
Heat Source ◽  
Circular Plate ◽  
Thermal Stresses ◽  
Research Work ◽  
Homogeneous Boundary Condition ◽  
Flux Boundary Condition ◽  
Differential Transform ◽  
The Mathematical Model

Abstract In the proposed research work we have used the Gaussian circular heat source. This heat source is applied with the heat flux boundary condition along the thickness of a circular plate with a nite radius. The research work also deals with the formulation of unsteady-state heat conduction problems along with homogeneous initial and non-homogeneous boundary condition around the temperature distribution in the circular plate. The mathematical model of thermoelasticity with the determination of thermal stresses and displacement has been studied in the present work. The new analytical method, Reduced Differential Transform has been used to obtain the solution. The numerical results are shown graphically with the help of mathematical software SCILAB and results are carried out for the material copper.

Frequencies of a Flexible Circular Plate Attached to the Surface of a Light Elastic Half-Space

1959 ◽  
Vol 26 (1) ◽  
pp. 13-17
Author(s):  
G. N. Bycroft
Keyword(s):  
Free Vibration ◽  
Circular Plate ◽  
Half Space ◽  
Fundamental Frequency ◽  
Elastic Half Space ◽  
Flexible Circular Plate

Abstract The frequencies of free vibration of a thin, flexible, circular plate stuck to the surface of a massless elastic half-space are solved by an application of the Rayleigh-Ritz principle. The approximate fundamental frequency is considered in detail when the plate is clamped, free, or hinged at its periphery. The method of obtaining the higher frequencies, such as those involving nodal diameters, is indicated.

The Dynamics of a Gyroscope Supported by a Flexible Circular Plate

1982 ◽  
Vol 49 (3) ◽  
pp. 601-605 ◽  
Author(s):  
J. S. Burdess
Keyword(s):  
Angular Velocity ◽  
Circular Plate ◽  
Angular Displacement ◽  
Performance Characteristics ◽  
Free Motion ◽  
Rigid Rotor ◽  
Modes Of Operation ◽  
Constant Rate ◽  
Flexible Circular Plate

The dynamics of a rigid rotor supported on a flexible circular plate is investigated and it is shown that the arrangement is capable of operating as a tuned free rotor gyroscope. The performance characteristics of the gyroscope are evaluated and the analysis shows that the steady displacment of the rotor may be used to measure either the angular velocity or angular displacement of the supporting casing. For both modes of operation the free motion and the response to a constant rate and a vibratory input is determined.

scholarly journals Inverse quasi–static unsteady–state thermal stresses in a thick circular plate

2017 ◽  
Vol 4 (1) ◽  
pp. 1283763
Author(s):  
Ishaque Khan ◽  
Lalsingh Khalsa ◽  
Vinod Varghese ◽  
Yong Hong Wu
Keyword(s):  
Circular Plate ◽  
Thermal Stresses ◽  
Unsteady State ◽  
Thick Circular Plate

scholarly journals Thermal stresses induced by a point heat source in a circular plate by quasi-static approach

2011 ◽  
Vol 1 (3) ◽  
pp. 031007
Author(s):  
K.C. Deshmukh ◽  
Y.I. Quazi ◽  
S.D. Warbhe ◽  
V.S. Kulkarni
Keyword(s):  
Heat Source ◽  
Circular Plate ◽  
Thermal Stresses ◽  
Point Heat Source ◽  
Static Approach
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