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

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.

scholarly journals Thermal deformation in a thin circular plate due to a partially distributed heat supply

Sadhana ◽  
2005 ◽  
Vol 30 (4) ◽  
pp. 555-563 ◽  
Author(s):  
N. L. Khobragade ◽  
K. C. Deshmukh
Keyword(s):  
Circular Plate ◽  
Heat Supply ◽  
Thermal Deformation ◽  
Thin Circular Plate

The transverse flexure of thin elastic plates supported at several points

1957 ◽  
Vol 53 (3) ◽  
pp. 728-743 ◽  
Author(s):  
W. A. Bassali
Keyword(s):  
Exact Solutions ◽  
Circular Plate ◽  
Half Plane ◽  
Plane Elasticity ◽  
Infinite Plane ◽  
Elastic Plates ◽  
Thin Circular Plate ◽  
Boundary Points ◽  
Explicit Formulae ◽  
Thin Elastic Plates

ABSTRACTThis paper depends upon the method developed by Kolossoff and Muskhelishvili for problems of plane elasticity and later extended to plate problems by Lechnitzky. Exact solutions in closed forms are obtained for the problem of a thin circular plate supported at several interior or boundary points and normally loaded over the area of an eccentric circle, the load being symmetrical with respect to the centre of the circle and the boundary of the plate being free. Explicit formulae for the deflexion, the bending and twisting moments and shearing stresses are given at any point of the plate. As limiting cases plates in the form of the infinite plane and half plane are also considered.

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