Numerical experiments on vibrating circular plates with stepped thickness and with edges elastically restrained against rotation and translation

1991 ◽  
Vol 146 (3) ◽  
pp. 533-537 ◽  
Author(s):  
P.A.A. Laura ◽  
D. Avalos ◽  
H. Larrondo
Keyword(s):  
Numerical Experiments ◽  
Circular Plates ◽  
Elastically Restrained

Optimum Elastic Restraint for Pressurised Circular Plates

1963 ◽  
Vol 67 (632) ◽  
pp. 525-526
Author(s):  
Charles W. Bert
Keyword(s):  
Effective Stress ◽  
Elastic Material ◽  
Unit Volume ◽  
List Type ◽  
Maximum Deflection ◽  
Type Number ◽  
Circular Plates ◽  
Uniform Thickness ◽  
Isotropic Elastic Material ◽  
Elastically Restrained

SummaryFor uniform-thickness, solid circular plates made of isotropic elastic material and elastically restrained at the edge, expressions are derived for the optimum support stiffness to minimise the following quantities: 1.The largest effective stress based on several different strength theories.2.The largest effective stress per unit of maximum deflection or per unit volume displaced.

Thermal Stress and Deflection Analysis of a Glass Window (Circular Plate) Elastically Restrained Along its Edge in a Photonic Device

2003 ◽  
Vol 125 (4) ◽  
pp. 602-608
Author(s):  
John H. Lau ◽  
Steve Erasmus ◽  
Yida Zou
Keyword(s):  
Thermal Stress ◽  
Circular Plate ◽  
Spring Constant ◽  
Engineering Practice ◽  
Thermal Coefficient ◽  
Circular Plates ◽  
Optical Coefficient ◽  
Deflection Analysis ◽  
Linear Spring ◽  
Elastically Restrained

An exact analysis is presented for the stresses and deflections of circular plates (glass windows) elastically restrained along its edge in a photonic device’s housing subjected to the pressure and temperature loadings. Dimensionless curves and charts are also provided for engineering practice convenience. These charts show the interactions of the deflection, stress, temperature, pressure, linear spring constant, rotational spring constant, geometry of the glass windows, and the Young’s modulus, Poisson’s ratio, thermal coefficient of expansion, geometry, stress-optical coefficient, and birefringence of glass materials. The results presented herein should be useful for designing glass windows for shipping, storing, handling, functioning, and reliability.

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