Effective elastic constants of wire mesh material studied by theoretical and finite element methods

2018 ◽  
Vol 184 ◽  
pp. 474-483 ◽  
Author(s):  
Qian Zhang ◽  
Wenchun Jiang ◽  
Yanting Zhang ◽  
Yun Luo ◽  
Shan-Tung Tu
Keyword(s):  
Finite Element ◽  
Elastic Constants ◽  
Finite Element Methods ◽  
Wire Mesh ◽  
Effective Elastic Constants ◽  
Mesh Material

Adaptive Finite Element Methods for the Identification of Elastic Constants

2006 ◽  
Vol 26 (2) ◽  
pp. 217-235 ◽  
Author(s):  
Tao Feng ◽  
Mårten Gulliksson ◽  
Wenbin Liu
Keyword(s):  
Finite Element ◽  
Elastic Constants ◽  
Finite Element Methods ◽  
Adaptive Finite Element ◽  
Adaptive Finite Element Methods

Simple estimation of effective elastic constants for thin plates with regular perforations and an application to the vibration of distillation column trays

2016 ◽  
Vol 52 (1) ◽  
pp. 57-66
Author(s):  
Wensong Zhang ◽  
Paul H Taylor ◽  
Richard C Darton
Keyword(s):  
Finite Element ◽  
Elastic Constants ◽  
Analytical Method ◽  
Distillation Column ◽  
Fatigue Cracking ◽  
Thin Plates ◽  
Element Analysis ◽  
Process Industries ◽  
Perforated Plates ◽  
Effective Elastic Constants

The horizontal perforated sheet metal plates are commonly used in the process industries as trays in distillation columns, important internal parts for fractionating the input liquid mixture. Normally, the operating performance of such trays is satisfactory. However, cases have been reported of abnormally high levels of tray vibration during operation at particular conditions. The trays then experienced fatigue cracking accompanied by the loosening of bolts and fixings, which led to expensive failures. The excitation of structural resonance was suspected as a component in flow-induced vibration. Using linear stress superposition, a simple but robust analytical method is developed to provide high-quality predictions for the stress and strain distributions for in-plane loaded thin perforated plates with periodic hole arrangements. This approach is built on the classical solution for the elastic stress field around a single circular hole in a large plate. The perforated plates with square penetration patterns are investigated in this article, although the same approach is applicable to any regular penetration pattern. Stress concentration factors as well as the effective elastic constants, which can be used to describe the bending properties of the perforated plates, are then verified against both the established theoretical solutions and the results from finite element simulations. Excellent agreement to both previously published physical experiments and complex modelling is observed in all cases, with small-to-medium (up to 40%) hole-area fraction. The proposed analytical method is much simpler and computationally efficient than finite element analysis. The computed effective elastic constants are used in a finite element modal analysis to estimate the free vibration frequencies of a stiffened distillation column tray example; the first 30 vibration modes are found to be almost uniformly distributed between 25 and 70 Hz, which matches the vibration frequency range reported from plant operations.

Equilibrium Profile of Modern Belted Radial Ply Tires: Its Determination and Performance Benefits

2013 ◽  
Vol 41 (2) ◽  
pp. 127-151
Author(s):  
Rudolf F. Bauer
Keyword(s):  
Finite Element ◽  
Aspect Ratio ◽  
Finite Element Methods ◽  
Mathematical Analysis ◽  
Internal Stresses ◽  
Stress Concentrations ◽  
Equilibrium Profiles ◽  
Equilibrium Profile ◽  
And Performance ◽  
Beneficial Property

ABSTRACT The benefits of a tire's equilibrium profile have been suggested by several authors in the published literature, and mathematical procedures were developed that represented well the behavior of bias ply tires. However, for modern belted radial ply tires, and particularly those with a lower aspect ratio, the tire constructions are much more complicated and pose new problems for a mathematical analysis. Solutions to these problems are presented in this paper, and for a modern radial touring tire the equilibrium profile was calculated together with the mold profile to produce such tires. Some construction modifications were then applied to these tires to render their profiles “nonequilibrium.” Finite element methods were used to analyze for stress concentrations and deformations within all tires that did or did not conform to equilibrium profiles. Finally, tires were built and tested to verify the predictions of these analyses. From the analysis of internal stresses and deformations on inflation and loading and from the actual tire tests, the superior durability of tires with an equilibrium profile was established, and hence it is concluded that an equilibrium profile is a beneficial property of modern belted radial ply tires.

Finite element methods for internal flow calculations

1983 ◽  
Author(s):  
W. HABASHI ◽  
M. HAFEZ ◽  
P. KOTIUGA
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Internal Flow

High-Order Finite Element Methods for Singularly-Perturbed Elliptic and Parabolic Problems.

1993 ◽  
Author(s):  
Slimane Adjerid ◽  
Mohammed Aiffa ◽  
Joseph E. Flaherty
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
High Order ◽  
Singularly Perturbed ◽  
Parabolic Problems
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