Section 6.1
6.1 Elastic Buckling
The initial theory of the buckling of columns was worked out by Euler in 1757, a nice
example of a theory preceding the application, the application mainly being for t
Section 3.3
3.3 Internal Stress
The idea of stress considered in 3.1 is not difficult to
conceptualise since objects interacting with other objects are
encountered all around us. A more difficult conc
Section 3.2
3.2 Body Forces
Surface forces act on surfaces. As discussed in the previous section, these are the forces
which arise when bodies are in contact and which give rise to stress distribution
Section 3.1
3.1 Surface and Contact Stress
The concept of the force is fundamental to mechanics and many important problems
can be cast in terms of forces only, for example the problems considered in
Section 2.3
2.3 The Statics of Rigid Bodies
A material body can be considered to consist of a very large number of particles. A rigid
body is one which does not deform, in other words the distance bet
Section 2.2
2.2 The Statics of Particles
2.2.1
Equilibrium of a Particle
The statics of particles is the study of particles at rest under the action of forces. Such
particles can be analysed using New
Section 2.1
2.1 The Fundamental Concepts and Principles of
Mechanics
2.1.1
The Fundamental Concepts
The four fundamental concepts1 used in mechanics are space, time, mass and force. It is
not easy to
INVITED
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Optimizing Operation of
Segmented Stator Linear
Synchronous Motors
The operating efficiency of a segmented urban transit system can be optimized
by separately controlling the current in
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IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, VOL. 14, NO. 2, JUNE 2004
Improvement of Transverse Flux Linear Induction
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Christos Mademlis, Associa
Magnet Arrays for Synchronous Machines
David L. Trumper
Mark E. Williams
Tiep H.Nguyen
Electrical Engineering Department
University of North Carolina at Charlotte
Charlotte, NC 28225
Abstract
ops resu
Optimization of Linear Flux Switching Permanent
Magnet Motor
W. Min1,2, J. T. Chen2, Z. Q. Zhu2, Y.Zhu1,G. H. Duan1
Institute of Manufacturing Engineering, Department of Precision Instruments and Mech
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Predictive Indirect Matrix Converter Fed Torque
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Marco Rivera
Department of Industrial
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IEEE TRANSACTIONS ON ENERGY CONVERSION, VOL. 25, NO. 2, JUNE 2010
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Optimization of Magnet Segmentation for Reduction
of Eddy-Current Losses in Permanent Magnet
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Wan-Ying Huang, A
Section 3.4
3.4 Equilibrium of Stress
Consider two perpendicular planes passing through a point p. The stress components
acting on these planes are as shown in Fig. 3.4.1a. These stresses are usually
Section 3.5
3.5 Plane Stress
This section is concerned with a special two-dimensional state of stress called plane stress.
It is important for two reasons: (1) it has practical application in the anal
Section 3.6
3.6 Strain
If an object is placed on a table and then the table is moved, each material particle moves
in space. The particles are said to undergo a displacement. The particles have moved
Section 5.6
5.6 The Principle of Minimum Potential Energy
The principle of minimum potential energy follows directly from the principle of
virtual work (for elastic materials).
5.6.1
The Principle of
Section 5.5
5.5 Virtual Work
Consider a mass attached to a spring and pulled by an applied force Fapl , Fig. 5.5.1a.
When the mass is in equilibrium, Fspr + Fapl = 0 , where Fspr = kx is the spring fo
Section 5.4
5.4 Strain Energy Potentials
5.4.1
The Linear Elastic Strain Energy Potential
The strain energy u was introduced in 5.21. From Eqn 5.2.19, the strain energy can be
regarded as a function o
Section 5.3
5.3 Complementary Energy
The linear elastic solid was considered in the previous section, with the characteristic
straight force-deflection curve for axial deformations, Fig. 5.2.2. Here,
Section 5.2
5.2 Elastic Strain Energy
The strain energy stored in an elastic material upon deformation is calculated below for a
number of different geometries and loading conditions. These expression
Section 5.1
5.1 Energy in Deforming Materials
There are many different types of energy: mechanical, chemical, nuclear, electrical,
magnetic, etc. Energies can be grouped into kinetic energies (which a
Section 4.7
4.7 Failure of Elastic Materials
In terms of material behavior, failure means a change in the normal constitutive behavior
of a material, usually in response to excessive loads or deformat
Section 4.6
4.6 The Elementary Beam Theory
In this section, problems involving long and slender beams are addressed. As with
pressure vessels, the geometry of the beam, and the specific type of loadin
Section 4.5
4.5 The Thin-walled Pressure Vessel Theory
An important practical problem is that of a container subjected to an internal pressure p.
Such a container is called a pressure vessel, Fig. 4.5
Section 4.4
4.4 Torsion
In this section, the geometry to be considered is that of a long slender circular bar and the
load is one which twists the bar. Such problems are important in the analysis of t
Section 4.3
4.3 One Dimensional Axial Deformations
In this section, a specific simple geometry is considered, that of a long and thin straight
component loaded in such a way that it deforms in the axi