Axisymmetric state of stress of variable-thickness deformable cylinders

1975 ◽  
Vol 11 (10) ◽  
pp. 1033-1040
Author(s):  
Yu. N. Nemish ◽  
D. I. Chernopiskii
Keyword(s):  
Variable Thickness ◽  
State Of Stress ◽  
Axisymmetric State

Part II Elastic Stiffness and Influence of Initial Strains

1966 ◽  
Vol 70 (672) ◽  
pp. 1105-1106 ◽  
Keyword(s):  
Elastic Stiffness ◽  
Technical Note ◽  
State Of Stress ◽  
Axisymmetric State ◽  
Initial Load ◽  
Load Vector ◽  
Initial Strains ◽  
Preparatory Work

The preparatory work of the preceding technical note is followed up by deriving the elastic stiffness and the initial load vector of an arbitrary TRIAX 6 element subject to an axisymmetric state of stress or strain.

Sensitivity analysis of sandwich beams and plates accounting for variable support conditions

2013 ◽  
Vol 61 (1) ◽  
pp. 201-210 ◽  
Author(s):  
R. Studziński ◽  
Z. Pozorski ◽  
A. Garstecki
Keyword(s):  
Sensitivity Analysis ◽  
Adjoint Variable Method ◽  
Adjoint Variable ◽  
Practical Applications ◽  
The Core ◽  
State Of Stress ◽  
Thin Steel ◽  
Influence Of Temperature On ◽  
Support Conditions ◽  
Variable Support

Abstract The paper addresses the problems of the sensitivity analysis and optimal design of multi-span sandwich panels with a soft core and flat thin steel facings. The response functional is formulated in a general form allowing wide practical applications. Sensitivity gradients of this functional with respect to dimensional, material and support parameters are derived using adjoint variable method. These operators account for the jump of the slope of a Timoshenko beam or a Reissner plate at the position of concentrated active load or reaction, thus extending the sensitivity operators known in literature. The jump of slope is the effect of shear deformation of the core. Special attention is focussed on sensitivity and optimisation allowing for variable support position and stiffness, because local phenomena observed in supporting area of sandwich plates often initiate failure mechanisms. Introducing optimally located elastic supports allows to reduce the unfavourable influence of temperature on the state of stress. Several examples illustrate the application of derived sensitivity operators and demonstrate their exactness

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