scholarly journals Verification of Stress Components Determined by Experimental Methods Using Airy Stress Function

2012 ◽  
Vol 48 ◽  
pp. 295-303 ◽  
Author(s):  
Mária Kenderová ◽  
František Trebuňa ◽  
Peter Frankovský
Keyword(s):  
Stress Function ◽  
Experimental Methods ◽  
Airy Stress Function ◽  
Stress Components

Determination of Stress Components From Thermoelastic Data Without Boundary Conditions

1992 ◽  
Vol 59 (4) ◽  
pp. 841-847 ◽  
Author(s):  
T. G. Ryall ◽  
M. Heller ◽  
R. Jones
Keyword(s):  
Experimental Design ◽  
Noise Level ◽  
Stress Function ◽  
Second Harmonic ◽  
Noisy Data ◽  
Airy Stress Function ◽  
Harmonic Response ◽  
Stress Components ◽  
Harmonic Components

Recent investigations have shown that the temperature variation caused by sinusoidal loading of a solid consists of two harmonic components. In this paper it is shown that by using an appropriate Airy stress function the separated stress components can be obtained, almost always, with knowledge of these two components. Since the second harmonic response is small compared to the noise level, the question of experimental design is examined. The problem of uniqueness is also studied. The close similarity between the second harmonic response and various energy parameters is also investigated and its role in structural optimization is discussed. The method is demonstrated on a particular example using simulated noisy data.

scholarly journals Form-Finding of Shells Containing Both Tension and Compression Using the Airy Stress Function

2020 ◽  
Author(s):  
Masaaki Miki ◽  
Emil Adiels ◽  
William Baker ◽  
Toby Mitchell ◽  
Alexander Sehlstrom ◽  
...  
Keyword(s):  
Stress Function ◽  
Mixed Type ◽  
Airy Stress Function ◽  
Form Finding ◽  
Graphic Statics ◽  
Tension And Compression ◽  
Stress Functions ◽  
Complete Set ◽  
Pure Compression ◽  
Asymptotic Lines

Pure-compression shells have been the central topic in the form-finding of shells. This paper studies tension-compression mixed type shells by utilizing a NURBS-based isogeometric form-finding approach that analyzes Airy stress functions to expand the possible plan geometry. A complete set of smooth version graphic statics tools is provided to support the analyses. The method is validated using examples with known solutions, and a further example demonstrates the possible forms of shells that the proposed method permits. Additionally, a guideline to configure a proper set of boundary conditions is presented through the lens of asymptotic lines of the stress functions.

Application of the Generalized Airy Stress Function to Problems on Elastic Vibrations of Hollow Cylinders

1973 ◽  
Vol 40 (4) ◽  
pp. 1140-1141
Author(s):  
R. A. Bourgois
Keyword(s):  
Stress Function ◽  
Laplace Transformation ◽  
Stress Waves ◽  
Elastic Response ◽  
Impact Loads ◽  
Airy Stress Function ◽  
Hollow Cylinders ◽  
Thick Cylinder ◽  
Basic Equations ◽  
Dynamic Plane

This Note concerns the use of the generalized Airy stress function, introduced by Radok [1], for dynamic plane-stress and plane-strain problems with axial symmetry. The solution of the basic equations for stress waves may be accomplished by Laplace transformation. The case of the dynamic elastic response of a thick cylinder to internal axial symmetric impact loads will be studied.

Alternative Derivation of Marguerre’s Displacement Solution in Plane Isotropic Elasticity

1999 ◽  
Vol 67 (2) ◽  
pp. 419-421 ◽  
Author(s):  
X.-L. Gao
Keyword(s):  
Stress Function ◽  
Present Approach ◽  
Function Approach ◽  
Airy Stress Function ◽  
Green's Theorem ◽  
Alternative Derivation ◽  
Green’S Theorem ◽  
Isotropic Elasticity

An alternative derivation of Marguerre’s solution for displacements in plane isotropic elasticity is provided. It is shown that the present approach, which is based on Green’s theorem and parallel to the Airy stress function approach, is straightforward. Also, the current derivation establishes the completeness of the Marguerre solution. [S0021-8936(00)00302-0]

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