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 the
later invented metal columns in modern structures.
6
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 concept is the
idea of forces and stresses acting inside a
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 distributions. Surface
forces also arise inside materials, acting o
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 Chapter 2.
However, more sophisticated problems require
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 between the individual
particles making up the rigid body
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 Newtons first law only. This situation is referred to as
e
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 define what these concepts are. Rather, one knows what
INVITED
PAPER
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 each system segment.
By Brian M. Perreault
ABSTRACT
| L
1846
IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, VOL. 14, NO. 2, JUNE 2004
Improvement of Transverse Flux Linear Induction
Motors Performances With Third Order Harmonics
Current Injection
Yuichiro Nozaki, Jumpei Baba, Member, IEEE, Katsuhiko Shutoh, a
IEEE TRANSACTIONS ON MAGNETICS, VOL. 48, NO. 2, FEBRUARY 2012
1039
Optimal Design of a Permanent Magnet Linear Synchronous
Motor With Low Cogging Force
Chang-Chou Hwang1 , Ping-Lun Li2 , and Cheng-Tsung Liu3
Department of Electrical Engineering, Feng Chia
CIRP Annals - Manufacturing Technology 57 (2008) 403406
Contents lists available at ScienceDirect
CIRP Annals - Manufacturing Technology
journal homepage: http:/ees.elsevier.com/cirp/default.asp
Accurate motion control of xy high-speed linear drives using
448
IEEE TRANSACTIONS ON ENERGY CONVERSION, VOL. 18, NO. 3, SEPTEMBER 2003
Performance Optimization in Switched Reluctance
Motor Drives With Online Commutation Angle
Control
Christos Mademlis, Associate Member, IEEE, and Iordanis Kioskeridis
AbstractThe p
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 results for the power-optimum thickness of the stator
windi
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 Mechanology,
Tsinghua University, Beijing, 100084, China.
2
The 2014 International Power Electronics Conference
Predictive Indirect Matrix Converter Fed Torque
Ripple Minimization with Weighting Factor
Optimization
Marco Rivera
Department of Industrial
Technologies
Universidad de Talca
Curico, Chile
marcoesteban@g
IEEE TRANSACTIONS ON ENERGY CONVERSION, VOL. 25, NO. 2, JUNE 2010
381
Optimization of Magnet Segmentation for Reduction
of Eddy-Current Losses in Permanent Magnet
Synchronous Machine
Wan-Ying Huang, Adel Bettayeb, Robert Kaczmarek, and Jean-Claude Vannier
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 shown
together acting on a small material element of fi
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 analysis of thin
components and (2) it is a two dimensional
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 in
space as a rigid body. The material remains unstress
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 Minimum Potential Energy
Consider again the example giv
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 force
with x the distance from the spring reference posit
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 of the strains:
u = u ( ij )
=
1 2
[(1 )(
2
xx
]
)
(
2
2
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, consider the more
general case of a bar of non-linear e
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 expressions for stored
energy will then be used to solve some ela
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 are due to
movement) and potential energies (which are s
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 deformations that cause irreparable
changes of the microstructu
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 loading which will be
considered, allows for approximations t
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. 4.5.1. In many applications it is
convenient and valid to
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 twisting
components, for example lug wrenches and transm
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 axial direction only. The x-axis is
taken as the longitudi
Design and Analysis Framework for Linear
Permanent Magnet Machines
David L. Trumper, Won-jong Kim, and Mark E. Williams
Laboratory for Manufacturing and Productivity
Massachusetts Institute of Technology
Cambridge, MA 02139
Abstract
This paper presents a