Lattices of lower finite breadth

1995 ◽  
Vol 51 (1) ◽  
pp. 391-393
Author(s):  
Ann A. Forkeotes
Keyword(s):  
Finite Breadth

On the Stresses in a Strip Under Tension and Containing Two Equal Circular Holes Placed Longitudinally

1956 ◽  
Vol 23 (4) ◽  
pp. 555-562
Author(s):  
A. Atsumi
Keyword(s):  
Perturbation Method ◽  
Longitudinal Axis ◽  
Infinite Strip ◽  
Circular Holes ◽  
Finite Breadth

Abstract A problem of determining the stresses in an infinite strip of finite breadth under tension and containing two equal circular holes placed on the longitudinal axis is studied theoretically. Stresses are calculated by a perturbation method, in each case the radius of the circle and the distance between the centers of two holes being varied. From consideration of the results obtained, some conclusions are made regarding the effects of the straight boundaries and the holes.

A symptotic solution of the problem of the cylindrical bending of a plate of finite breadth in an elastic half-space

1974 ◽  
Vol 10 (7) ◽  
pp. 749-754 ◽  
Author(s):  
V. M. Aleksandrov ◽  
M. D. Solodovnik
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
Cylindrical Bending ◽  
Finite Breadth

Viscous flow induced by plates moving in opposite directions: a finite-breadth case

Meccanica ◽  
2019 ◽  
Vol 54 (1-2) ◽  
pp. 123-134 ◽  
Author(s):  
Chi-Min Liu
Keyword(s):  
Viscous Flow ◽  
Finite Breadth

Stress Concentrations in a Strip Under Tension and Containing Two Pairs of Semicircular Notches Placed on the Edges Symmetrically

1957 ◽  
Vol 24 (4) ◽  
pp. 565-573
Author(s):  
A. Atsumi
Keyword(s):  
Stress Concentration ◽  
The State ◽  
Infinite Strip ◽  
Stress Concentrations ◽  
Finite Breadth

Abstract Distributions of stresses in an infinite strip of finite breadth under tension and containing two pairs of equal semicircular notches placed symmetrically on the edges are studied theoretically. The state of decreasing of stress concentration is studied and compared with those corrected by M. Isida or newly determined by the author in their calculations as the reliable results of Ling’s problem of an infinite strip of finite breadth under tension and containing two semicircular notches placed symmetrically on the edges.

scholarly journals Skin effect in rectangular conductors at high frequencies

1929 ◽  
Vol 122 (790) ◽  
pp. 533-542 ◽  
Keyword(s):  
High Frequency ◽  
Skin Effect ◽  
General Nature ◽  
Rectangular Section ◽  
Electrical Force ◽  
High Frequencies ◽  
One Dimensional ◽  
Finite Breadth ◽  
Parallel Strips ◽  
Cylindrical Conductors

There is at present little exact information either theoretical or experimental on the high frequency resistance of cylindrical conductors of rectangular section, although the general nature of the phenomenon is quite well known and has been exhaustively treated in the case of circular conductors by Kelvin, Heaviside, Russell and others. The first method of attack on the problem of the rectangular conductor is to treat it as a strip of infinite breadth when the problem becomes one dimensional and requires simply a solution of ∂ 2 E/∂ x 2 = 4πμ/ρ ∂E/∂ t E being the electrical force and μ and ρ the permeability and resistivity respectively. The solution of the problem for two parallel strips was first given by Rayleigh and it was shown that for high frequencies the current decreases exponentially toward the centre of the conductor, being confined effectively to a surface layer so that the resistance of the conductor was the same as if composed of surface strips of thickness (2πμω/ρ) -½ , ω to being the periodicity. This approximation, however, gives much too low values for the high frequency resistance of a conductor of finite breadth.

Implementation of a Cavitation Algorithm into a Procedure for the Prediction of Non-Newtonian Flow in Hydrodynamic Journal Bearings

1987 ◽  
Vol 201 (6) ◽  
pp. 449-456
Author(s):  
P D Williams ◽  
G R Symmons
Keyword(s):  
Effective Viscosity ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Journal Bearings ◽  
Navier Stokes ◽  
Newtonian Flow ◽  
Film Rupture ◽  
Navier Stokes Equations ◽  
Finite Breadth ◽  
Newtonian Liquids

A procedure for solving the Navier–Stokes equations for the steady, three-dimensional, cavitated flow of non-Newtonian liquids within finite-breadth journal bearings is described. The method uses a finite difference approach, together with a technique known as SIMPLE (Semi-Implicit Method for Pressure-Linked Equations) which has now become well established in the field of computational fluid dynamics. The concept of ‘effective viscosity’ to describe the non-linear dependence of shear stress on shear rate is used to predict the performance of bearings having a single axial inlet groove situated at the position of maximum clearance between the shaft and housing. The implementation of a cavitation algorithm into the equation set allows the loci of film rupture and reformation in the vicinity of the supply groove and elsewhere to be traced, these having a particularly important influence on the predicted lubricant flowrate. Results are obtained for a range of non-linearity factors and lead to the conclusion that all the important indicators of bearing performance can be determined using the technique described.

An Invariant Analysis of the Bending of Three Edge-Bonded Dissimilar Plates

2009 ◽  
Vol 76 (6) ◽  
Author(s):  
K. Aderogba
Keyword(s):  
Parallel Plate ◽  
Isotropic Plate ◽  
Bending Moments ◽  
Vertical Load ◽  
Effective Elastic Constants ◽  
Isotropic Plates ◽  
Plate Strip ◽  
Finite Breadth ◽  
Invariant Analysis ◽  
Compound Plate

A representation theorem is proved for the solution of the problem of two perfectly bonded isotropic semi-infinite plates under the influence of an arbitrary vertical load located in the midplane of the interior of one of them. Its function is to show that if the deflection of an unbounded isotropic plate under the influence of an arbitrary vertical load is known, then the corresponding deflections for two perfectly bonded isotropic semi-infinite plates are explicitly determinable, solely, and compactly in terms of the known deflection. Indeed, whatever the nature of the mechanism of loading is, the induced bending moments and shears in the two bonded plates are determinable by the process of differentiation only. A systematic repeated application of the theorem then yields a well-structured series solution when the arbitrary vertical load is arbitrarily located in a compound plate comprising two semi-infinite dissimilar isotropic plates separated by another dissimilar isotropic plate strip of finite breadth. As an application, we determine the effective elastic constants of a compound plate comprising a homogeneous isotropic plate in which a finite number of isotropic parallel plate strips of small breadths are embedded at such distances apart that their interaction effects may be taken as independent of one another.

ℵ 0 -Categorical Distributive Lattices of Finite Breadth

1983 ◽  
Vol 87 (4) ◽  
pp. 707
Author(s):  
James H. Schmerl
Keyword(s):  
Distributive Lattices ◽  
Finite Breadth

scholarly journals The characteristics of a Karman vortex street in a channel of finite breadth

1928 ◽  
Vol 120 (784) ◽  
pp. 34-46 ◽  
Keyword(s):  
Perfect Fluid ◽  
Bluff Body ◽  
Two Dimensions ◽  
The Body ◽  
Vortex Street ◽  
Stable Configuration ◽  
Cylindrical Shape ◽  
Double Row ◽  
Finite Breadth ◽  
The Individual

It is well known that the classical potential flow of a perfect fluid past a bluff body is not a satisfactory representation of the actual flow, and that, in particular, it fails to give any indication of the resistance or drag which is experienced by the body. If the body is of a long cylindrical shape with axis normal to the axis, and may be conceived as proceeding in two dimensions only. In this case it is found experimentally that thin sheets of vorticity spring from the two sides of the body and enclose a dead-water region behind it, but owing to their essential instability these vortex sheets rapidly disintegrate and give rise to a succession of independent vortices which pass down stream in the form of a double vortex row. The characteristics of such a vortex street in its ultimate form far behind the body have been examined by Karman, who derives an expression for the drag of the body in terms of the strength of the individual vortices and of the breadth of the vortex street. More recently the results of a comprehensive series of experiments on the flow past a flat plate have been published by Fage and Johansen, and these results have been compared with Karman's theory. In view, however, of the fact that the experimental results are of necessity obtained from experiments in a channel of finite breadth, the present investigation has been undertaken to determine the constraint of the channel walls on the characteristics of the vortex street. 2. Karman's Theory of the Vortex Street . Karman considers the behaviour in a perfect fluid of a double row of point vortices in the configuration shown in fig. 1, deducing the relationships which are necessary for the stability of the system, and the corresponding drag force on the body to which the vortex street is due. It appears that the only stable configuration is that in which each vortex of one row is opposite the point mid-way between two successive vortices of the other row.

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