scholarly journals X. The distribution of stress round a circular hole in a plate

1928 ◽  
Vol 227 (647-658) ◽  
pp. 383-415 ◽  
Keyword(s):  
Circular Hole ◽  
Stress Function ◽  
Elastic Solid ◽  
Point Of View ◽  
Engineering Practice ◽  
Elastic Plates ◽  
Circular Boundary ◽  
Tension Member ◽  
Method Of Solution ◽  
Paper Plane

The study of stress distributions in elastic plates would seem to have many important applications in engineering practice, and from this point of view it is, at first sight, surprising that our knowledge of the subject is not more detailed than it is at present. True, the fact that the stresses are derivable from a stress-function, and the equation satisfied by this stress-function, have long been known; particular solutions, satisfying the types of boundary condition met with in practice are, however, rare. Jeffery, in his paper, “Plane Stress and Plane Strain in Bipolar Co-ordinates, says that in the problem of the equilibrium of an elastic solid“ knowledge comes by patient accumulation of special solutions rather than by the establishment of great general propositions ”and later, that“ it is of considerable importance that the two-dimensional problems should be worked out more thoroughly The present paper is an attempt to fill one gap by a fairly full examination of the stresses round a circular hole in an otherwise infinite elastic plate of uniform thickness, due to prescribed tractions in the plane of the plate, acting on the circular boundary. A general solution is obtained and particular cases are examined in detail, these cases being chosen to combine, as far as possible, mathematical simplicity with some semblance of the type of distribution of traction likely to occur in practice ; the analysis is also applied to examine some experimental results obtained in the Engineering Laboratories of University College by Prof. E. G. Coker and T. Fukuda. The attention of the author was first turned to this type of problem in 1919 by Prof. Coker , whose experimental method of solution is now well known. He suggested an attempt to calculate mathematically the stresses in the neighbourhood of a circular hole in a tension member. An exact solution was not obtained, and an approximate one is only applicable when the diameter of the hole is very small compared to the width of the member. In the course of the investigation, however, it became necessary to find the stresses due to a simple distribution of traction on the circular boundary, and difficulties were met with when the traction did not form a system in equilibrium.

Stresses in a Perforated Wedge

1973 ◽  
Vol 40 (3) ◽  
pp. 759-766 ◽  
Author(s):  
Chih-Bing Ling ◽  
Chang-Ming Hsu
Keyword(s):  
Boundary Conditions ◽  
Circular Hole ◽  
Stress Function ◽  
The Other ◽  
Numerical Examples ◽  
Biharmonic Functions ◽  
Method Of Solution ◽  
The Given ◽  
Infinite Wedge

This paper presents a method of solution for an infinite wedge containing a symmetrically located circular hole. The solution is formulated separately according to the given in-plane edge tractions being even or odd with respect to the axis of the wedge. In either case, the stress function is constructed as the sum of four parts of biharmonic functions, two in the form of integrals and the other two in the form of series, in addition to a basic stress function for an otherwise unperforated wedge. The four parts as a whole give no traction along the edges and no stress at infinity of the wedge. Together with the basic stress function, the boundary conditions of no traction at the rim of hole are adjusted. Complex expressions are used in adjusting the boundary conditions. Finally, numerical examples are given for illustration.

scholarly journals Data-driven graph drawing techniques with applications for conveyor systems

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Simone Göttlich ◽  
Sven Spieckermann ◽  
Stephan Stauber ◽  
Andrea Storck
Keyword(s):  
Real World ◽  
Connected Graph ◽  
Stress Function ◽  
Graph Drawing ◽  
Point Of View ◽  
Data Driven ◽  
Challenging Problem ◽  
Conveyor System ◽  
System Graph ◽  
Real World Problems

AbstractThe visualization of conveyor systems in the sense of a connected graph is a challenging problem. Starting from communication data provided by the IT system, graph drawing techniques are applied to generate an appealing layout of the conveyor system. From a mathematical point of view, the key idea is to use the concept of stress majorization to minimize a stress function over the positions of the nodes in the graph. Different to the already existing literature, we have to take care of special features inspired by the real-world problems.

scholarly journals Cavitation Erosion and Sliding Wear of MCrAlY and NiCrMo Coatings Deposited by HVOF Thermal Spraying

2020 ◽  
Vol 20 (2) ◽  
pp. 26-38 ◽  
Author(s):  
M. Szala ◽  
M. Walczak ◽  
L. Łatka ◽  
K. Gancarczyk ◽  
D. Özkan
Keyword(s):  
Wear Resistance ◽  
Sliding Wear ◽  
Cavitation Erosion ◽  
Erosion Resistance ◽  
Nickel Content ◽  
Thermal Spraying ◽  
Point Of View ◽  
Engineering Practice ◽  
Hvof Thermal Spraying ◽  
Cavitation Erosion Resistance

AbstractThe investigation into wear resistance is an up-to-date problem from the point of view of both scientific and engineering practice. In this study, HVOF coatings such as MCrAlY (CoNiCrAlY and NiCoCrAlY) and NiCrMo were deposited on AISI 310 (X15CrNi25-20) stainless steel substrates. The microstructural properties and surface morphology of the as-sprayed coatings were examined. Cavitation erosion tests were conducted using the vibratory method in accordance with the ASTM G32 standard. Sliding wear was examined with the use of a ball-on-disc tribometer, and friction coefficients were measured. The sliding and cavitation wear mechanisms were identified with the SEM-EDS method. In comparison to the NiCrMo coating, the MCrAlY coatings have lower wear resistance. The cavitation erosion resistance of the as-sprayed M(Co,Ni)CrAlY coatings is almost two times lower than that of the as-sprayed NiCrMoFeCo deposit. Moreover, the sliding wear resistance increases with increasing the nickel content as follows: CoNiCrAlY < NiCoCrAlY < NiCrMoFeCo. The mean friction coefficient of CoNiCrAlY coating equals of 0.873, which almost 50% exceed those reported for coating NiCrMoFeCo of 0.573. The as-sprayed NiCrMoFeCo coating presents superior sliding wear and cavitation erosion resistance to the as-sprayed MCrAlY (CoNiCrAlY and NiCoCrAlY) coatings.

On the Stresses in a Rotating Disk of Variable Thickness

1952 ◽  
Vol 19 (3) ◽  
pp. 263-266
Author(s):  
Ti-Chiang Lee
Keyword(s):  
Variable Thickness ◽  
Stress Function ◽  
Hypergeometric Functions ◽  
Analytic Solution ◽  
Radial Distance ◽  
Rotating Disk ◽  
Numerical Examples ◽  
Confluent Hypergeometric Functions ◽  
Method Of Solution ◽  
Two Parameters

Abstract This paper presents an analytic solution of the stresses in a rotating disk of variable thickness. By introducing two parameters, the profile of the disk is assumed to vary exponentially with any power of the radial distance from the center of the disk. In some respects this solution may be considered as a generalization of Malkin’s solution, but it differs essentially from the latter in the method of solution. Here, the stresses are solved through a stress function instead of being solved directly. The required stress function is expressed in terms of confluent hypergeometric functions. Numerical examples are also shown for illustration.

Optimization of Trimaran Design Configuration in Calm and Deep Water

2020 ◽  
Author(s):  
Renato Skejic ◽  
Sverre A. Alterskjær
Keyword(s):  
Deep Water ◽  
Optimization Procedure ◽  
Wave Theory ◽  
Point Of View ◽  
Engineering Practice ◽  
Total Resistance ◽  
Operational Parameters ◽  
Viscous Effects ◽  
Greenhouse Gasses ◽  
Hard Particles

The field of sea based modern shipping activities is constantly seeking for its improvements to achieve the economically justified operational patterns. In the same time, the sea transportation activities also need to satisfy currently imposed and, as well as, upcoming in the near future, safety and ecologically friendly footprint characteristics when it comes to the emission of greenhouse gasses and hard particles [1]. Fulfilment of the stated requirements consequently asks for the determination of certain vessels operational parameters such as the total resistance of a vessel which estimation is frequently carried out for predefined calm and deep-water environmental scenario. Current work is dealing with investigation of the total resistance parameter in calm and deep water for the preselected types of the trimaran ship hull configurations. The total resistance is estimated according to [2] recommended procedure through applicability of the robust and reliable method which is capable to address the problem of wave resistance prediction in calm and deep water. The method has origin in ordinary and modified Michell thin – ship wave theory by considering the viscous effects [3]. The differences between the utilized theories are discussed from the qualitative and quantitative point of view of the obtained results in comparison to the open source available theoretical experimental data and from the perspective of common engineering practice. Finally, based on the above description, the performed total resistance studies are used as a base for formulation of the optimization procedure which may be used in the trimaran vessel preliminary designs in the range of the forward speeds commonly expected during the normal operational life of the investigated trimaran vessel.

Managing Enterprise Architecture Change

2007 ◽  
pp. 192-205 ◽  
Author(s):  
T. O’Neill ◽  
M. Denford ◽  
J. Leaney ◽  
K. Dunsire
Keyword(s):  
Enterprise Architecture ◽  
Point Of View ◽  
Emergent Properties ◽  
Engineering Practice ◽  
Top Down ◽  
Systems Architecture ◽  
Architectural Model ◽  
Complex Architectures ◽  
Computer Based ◽  
And Control

Enterprise architecture (EA) is the recognised place where the engineering practice of systems architecture meets real-world enterprise needs. The enterprise computer-based systems employed by organisations today can be extremely complex. These systems are essential for undertaking business and general operations in the modern environment, and yet the ability of organisations to control their evolution is questionable. The emerging practice of enterprise architecture seeks to control that complexity through the use of a holistic and top-down perspective. However, the methodologies and toolsets already in use are very much bottom-up by nature. An architecture-based approach is herein proposed; one that has at its base a complete and formal architectural description (or model). This allows enterprise architects, strategists, and designers to confidently model, predict, and control the emergent properties of their respective systems from an architectural point of view. The authors conclude that by using an approach founded upon an architectural model to analyse software and enterprise systems, architects can guide the design and evolution of architectures based on quantifiable nonfunctional requirements. Furthermore, hierarchical 3D visualisation provides a meaningful and intuitive means for conceiving and communicating complex architectures.

The transverse flexure of thin perforated elastic plates supported at several points

1957 ◽  
Vol 53 (3) ◽  
pp. 744-754 ◽  
Author(s):  
W. A. Bassali
Keyword(s):  
Exact Solutions ◽  
Outer Edge ◽  
Elastic Plates ◽  
Large Plate ◽  
Circular Boundary ◽  
Boundary Points

ABSTRACTFollowing the method outlined in a previous paper, exact solutions in finite terms are obtained for the problem of an infinitely large plate with outer edge free and an inner free circular boundary, the plate being supported at any number of interior or boundary points and normally loaded over a circle. The load considered is symmetrical with respect to the centre of the circle.

A Market-Consumer Model of Residential Property Values: The Airport-Noise—Land-Use Impact Problem

1976 ◽  
Vol 8 (3) ◽  
pp. 271-287 ◽  
Author(s):  
K E Haynes ◽  
F Y Phillips ◽  
G M White
Keyword(s):  
Property Values ◽  
Point Of View ◽  
Distribution Model ◽  
Land Values ◽  
Residential Property ◽  
Central Feature ◽  
Market Conditions ◽  
Consumer Goals ◽  
Method Of Solution ◽  
Residential Property Values

The paper presents a model of residential property values which is more complete and theoretically grounded than previous regression studies of environmental pollution and land values. By using the distribution model of linear programming, a constrained regression hypothesis is presented which strongly interacts with the theory that generated it. The full use of dual evaluators for estimation purposes is a central feature of the new model, and is an innovative contribution. It is not necessary to observe the purchase price of individual properties, since these (and interval estimates of other offer prices) follow theoretically from the regression results. A market solution to the housing-allocation problem having been characterized, the consumer's decision problem is considered, and his solution is shown to be in general incompatible with market conditions. This incompatibility is resolved by the use of a multipage or decomposable linear program which incorporates both consumer goals and market conditions. The method of solution of this problem reflects the gain of information that leads to the purchase of a residence by each consumer, and demonstrates the value of the ‘decomposition principle’ in consumer theory. An illustration of the consumer's point of view is developed by using the noise problem of a neighborhood airport.

scholarly journals On the stresses in the neighbourhood of a circular hole in a strip under tension

1930 ◽  
Vol 229 (670-680) ◽  
pp. 49-86 ◽  
Keyword(s):  
Circular Hole ◽  
Practical Importance ◽  
Infinite Plate ◽  
Two Dimensions ◽  
Theoretical Interest ◽  
Circular Boundary ◽  
Applied Tension ◽  
Circular Holes ◽  
Special Solutions ◽  
Maximum Stresses

The problem of determining the stresses in a plate under tension when the material is pierced by one or more circular holes is one of both theoretical interest and practical importance. Provided that the plate may be regarded as infinitely extended in two dimensions, the solution for a single hole is easily found and is well known. The presence of the hole leads to the occurrence of stresses equal to three times the tension at infinity, these maximum stresses occurring at the edge of the hole and on the diameter perpendicular to the direction of the applied tension. More general stress systems, corresponding to the presence of tractions at the edge of the hole, may be studied by similar methods, not only when the plate is infinite but also when there is a second circular boundary concentric with the first. A number of special solutions for the infinite plate have recently been published by BICKLEY. The solution for a semi-infinite plate with one circular hole was obtained by JEFFREY, using bipolar co-ordinates,§ which may be applied also to the case of an infinite plate pierced by two holes

Sign in / Sign up

Export Citation Format

Share Document