Application of Finite Element Methods to Lubrication: Squeeze Films Between Porous Surfaces

1976 ◽  
Vol 98 (1) ◽  
pp. 175-179 ◽  
Author(s):  
B. E. Eidelberg ◽  
J. F. Booker
Keyword(s):  
Finite Element ◽  
Analytical Solution ◽  
Finite Element Methods ◽  
Fluid Film ◽  
Anisotropic Permeability ◽  
Porous Region ◽  
Porous Surfaces ◽  
Irregular Geometry

Finite element methods are applied to the analysis of squeeze films between porous surfaces. Planar elements in the fluid film region are joined with solid elements in the porous region to ensure continuity of pressures and flows. The formulation is valid for problems with irregular geometry and nonhomogeneous anisotropic permeability. A simple example with uniform properties demonstrates convergence to a previous analytical solution. More complex examples illustrate the power and versatility of the method.

An Integral Equation Method for Predicting Acoustic Emission within Enclosures

1985 ◽  
Vol 199 (2) ◽  
pp. 133-137 ◽  
Author(s):  
D T I Francis ◽  
M M Sadek
Keyword(s):  
Integral Equation ◽  
Finite Element ◽  
Acoustic Emission ◽  
Analytical Solution ◽  
Numerical Solution ◽  
Finite Element Methods ◽  
Exact Analytical Solution ◽  
Integral Equation Method ◽  
Absorption Characteristics ◽  
Good Agreement

A method is presented for calculating the acoustic emission of a vibrating body within an enclosure whose surface has known absorption characteristics. It is based on a numerical solution of the Helmholtz integral equation. Solutions are given for the case of a pulsating sphere within a sphere, and good agreement with the exact analytical solution is reported. The method is of value for small and medium scale problems at lower frequencies, where traditional techniques are less reliable. It is also potentially less demanding computationally than finite element methods.

An analytical solution to the problem of seepage into counterfort drains

1984 ◽  
Vol 21 (4) ◽  
pp. 657-662 ◽  
Author(s):  
Edward Nicholas Bromhead
Keyword(s):  
Finite Element ◽  
Numerical Methods ◽  
Analytical Solution ◽  
Finite Element Methods ◽  
Theoretical Approach ◽  
Small Study ◽  
Full Thickness ◽  
Slope Stabilization ◽  
Design Chart ◽  
And Performance

Recently, J. N. Hutchinson has collected data on the design and performance of trench and counterfort drains. This article presents an analytical solution to one of these cases, that of seepage into counterfort drains which penetrate the full thickness of a layer of soil, down to the impermeable base on which it rests. The soil is assumed to have uniform permeability.The findings of a small study, by Hutchinson, of seepage patterns to such drains, made with the use of finite element methods, are found to be validated by the theoretical approach in this article. This solution also provides a convenient benchmark against which approximate numerical methods can be assessed.Finally, a design chart based on the theory is presented, with examples of its application to the design of counterfort drain installations for slope stabilization.

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
Sign in / Sign up

Export Citation Format

Share Document