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This book provides comprehensive coverage of stress and strain
analysis of circular cylinders and pressure vessels, one of the
classic topics of machine design theory and methodology. Whereas
other books offer only a partial treatment of the subject and
frequently consider stress analysis solely in the elastic field,
Circular Cylinders and Pressure Vessels broadens the design
horizons, analyzing theoretically what happens at pressures that
stress the material beyond its yield point and at thermal loads
that give rise to creep. The consideration of both traditional and
advanced topics ensures that the book will be of value for a broad
spectrum of readers, including students in postgraduate, and
doctoral programs and established researchers and design engineers.
The relations provided will serve as a sound basis for the design
of products that are safe, technologically sophisticated, and
compliant with standards and codes and for the development of
innovative applications.
Stress and strain analysis of rotors subjected to surface and body
loads, as well as to thermal loads deriving from temperature
variation along the radius, constitutes a classic subject of
machine design. Nevertheless attention is limited to rotor profiles
for which governing equations are solvable in closed form.
Furthermore very few actual engineering issues may relate to
structures for which stress and strain analysis in the linear
elastic field and, even more, under non-linear conditions (i.e.
plastic or viscoelastic conditions) produces equations to be solved
in closed form. Moreover, when a product is still in its design
stage, an analytical formulation with closed-form solution is of
course simpler and more versatile than numerical methods, and it
allows to quickly define a general configuration, which may then be
fine-tuned using such numerical methods.
In this view, all subjects are based on analytical-methodological
approach, and some new solutions in closed form are presented. The
analytical formulation of problems is always carried out
considering actual engineering applications. Moreover, in order to
make the use of analytical models even more friendly at the product
design stage, a function is introduced whereby it is possible to
define a fourfold infinity of disk profiles, solid or annular,
concave or convex, converging or diverging. Such subjects, even
derived from scientific authors contributions, are always aimed at
designing rotors at the concept stage, i.e. in what precedes
detailed design. Among the many contributions, a special mention is
due for the following: linear elastic analysis of conical disks and
disks with variable profile along its radius according to a power
of a linear function, also subjected to thermal load and with
variable density; analysis of a variable-profile disk subjected to
centrifugal load beyond the material's yield point, introducing the
completely general law expressed by a an n-grade polynomial; linear
elastic analysis of hyperbolic disk, subjected to thermal load
along its radius; linear elastic analysis of a variable-thickness
disk according to a power of a linear function, subjected to
angular acceleration; etc."
This book provides a compact history of gears, by summarizing the
main stages of their development and the corresponding gradual
acquisition of engineering expertise, from the antiquity to the
Renaissance and the twentieth century. This brief history makes no
claim to be exhaustive, since the topic is so extensive, complex
and fascinating that it deserves an entire encyclopedia. Despite
its brevity, the book debunks a number of popular misconceptions,
such as the belief that the first literary description of a gear
was supplied by Aristotle. It disproves not only this myth, but
also other peremptory statements and/or axiomatic assumptions that
have no basis in written documents, archaeological findings or
other factual evidence. The book is chiefly intended for students
and lecturers, historians of science and scientists, and all those
who want to learn about the genesis and evolution of this topic.
This book explores the geometric and kinematic design of the
various types of gears most commonly used in practical
applications, also considering the problems concerning their
cutting processes. The cylindrical spur and helical gears are first
considered, determining their main geometric quantities in the
light of interference and undercut problems, as well as the related
kinematic parameters. Particular attention is paid to the profile
shift of these types of gears either generated by rack-type cutter
or by pinion-rack cutter. Among other things, profile-shifted
toothing allows to obtain teeth shapes capable of greater strength
and more balanced specific sliding, as well as to reduce the number
of teeth below the minimum one to avoid the operating interference
or undercut. These very important aspects of geometric-kinematic
design of cylindrical spur and helical gears are then generalized
and extended to the other examined types of gears most commonly
used in practical applications, such as straight bevel gears;
crossed helical gears; worm gears; spiral bevel and hypoid gears.
Finally, ordinary gear trains, planetary gear trains and face gear
drives are discussed. This is the most advanced reference guide to
the state of the art in gear engineering. Topics are addressed from
a theoretical standpoint, but in such a way as not to lose sight of
the physical phenomena that characterize the various types of gears
which are examined. The analytical and numerical solutions are
formulated so as to be of interest not only to academics, but also
to designers who deal with actual engineering problems concerning
the gears
The book explores the geometric and kinematic design of the various
types of gears most commonly used in practical applications, also
considering the problems concerning their cutting processes. The
cylindrical spur and helical gears are first considered,
determining their main geometric quantities in the light of
interference and undercut problems, as well as the related
kinematic parameters. Particular attention is paid to the profile
shift of these types of gears either generated by rack-type cutter
or by pinion-rack cutter. Among other things, profile-shifted
toothing allows to obtain teeth shapes capable of greater strength
and more balanced specific sliding, as well as to reduce the number
of teeth below the minimum one to avoid the operating interference
or undercut. These very important aspects of geometric-kinematic
design of cylindrical spur and helical gears are then generalized
and extended to the other examined types of gears most commonly
used in practical applications, such as: straight bevel gears;
crossed helical gears; worm gears; spiral bevel and hypoid gears.
Finally, ordinary gear trains, planetary gear trains and face gear
drives are discussed. Includes fully-developed exercises to draw
the reader's attention to the problems that are of interest to the
designer, as well as to clarify the calculation procedure Topics
are addressed from a theoretical standpoint, but in such a way as
not to lose sight of the physical phenomena that characterize the
various types of gears which are examined The analytical and
numerical solutions are formulated so as to be of interest not only
to academics, but also to designers who deal with actual
engineering problems concerning the gears
This book provides comprehensive coverage of stress and strain
analysis of circular cylinders and pressure vessels, one of the
classic topics of machine design theory and methodology. Whereas
other books offer only a partial treatment of the subject and
frequently consider stress analysis solely in the elastic field,
Circular Cylinders and Pressure Vessels broadens the design
horizons, analyzing theoretically what happens at pressures that
stress the material beyond its yield point and at thermal loads
that give rise to creep. The consideration of both traditional and
advanced topics ensures that the book will be of value for a broad
spectrum of readers, including students in postgraduate, and
doctoral programs and established researchers and design engineers.
The relations provided will serve as a sound basis for the design
of products that are safe, technologically sophisticated, and
compliant with standards and codes and for the development of
innovative applications.
This book explores the geometric and kinematic design of the
various types of gears most commonly used in practical
applications, also considering the problems concerning their
cutting processes. The cylindrical spur and helical gears are first
considered, determining their main geometric quantities in the
light of interference and undercut problems, as well as the related
kinematic parameters. Particular attention is paid to the profile
shift of these types of gears either generated by rack-type cutter
or by pinion-rack cutter. Among other things, profile-shifted
toothing allows to obtain teeth shapes capable of greater strength
and more balanced specific sliding, as well as to reduce the number
of teeth below the minimum one to avoid the operating interference
or undercut. These very important aspects of geometric-kinematic
design of cylindrical spur and helical gears are then generalized
and extended to the other examined types of gears most commonly
used in practical applications, such as straight bevel gears;
crossed helical gears; worm gears; spiral bevel and hypoid gears.
Finally, ordinary gear trains, planetary gear trains and face gear
drives are discussed. This is the most advanced reference guide to
the state of the art in gear engineering. Topics are addressed from
a theoretical standpoint, but in such a way as not to lose sight of
the physical phenomena that characterize the various types of gears
which are examined. The analytical and numerical solutions are
formulated so as to be of interest not only to academics, but also
to designers who deal with actual engineering problems concerning
the gears
The book explores the geometric and kinematic design of the various
types of gears most commonly used in practical applications, also
considering the problems concerning their cutting processes. The
cylindrical spur and helical gears are first considered,
determining their main geometric quantities in the light of
interference and undercut problems, as well as the related
kinematic parameters. Particular attention is paid to the profile
shift of these types of gears either generated by rack-type cutter
or by pinion-rack cutter. Among other things, profile-shifted
toothing allows to obtain teeth shapes capable of greater strength
and more balanced specific sliding, as well as to reduce the number
of teeth below the minimum one to avoid the operating interference
or undercut. These very important aspects of geometric-kinematic
design of cylindrical spur and helical gears are then generalized
and extended to the other examined types of gears most commonly
used in practical applications, such as: straight bevel gears;
crossed helical gears; worm gears; spiral bevel and hypoid gears.
Finally, ordinary gear trains, planetary gear trains and face gear
drives are discussed. Includes fully-developed exercises to draw
the reader's attention to the problems that are of interest to the
designer, as well as to clarify the calculation procedure Topics
are addressed from a theoretical standpoint, but in such a way as
not to lose sight of the physical phenomena that characterize the
various types of gears which are examined The analytical and
numerical solutions are formulated so as to be of interest not only
to academics, but also to designers who deal with actual
engineering problems concerning the gears
This book provides a compact history of gears, by summarizing the
main stages of their development and the corresponding gradual
acquisition of engineering expertise, from the antiquity to the
Renaissance and the twentieth century. This brief history makes no
claim to be exhaustive, since the topic is so extensive, complex
and fascinating that it deserves an entire encyclopedia. Despite
its brevity, the book debunks a number of popular misconceptions,
such as the belief that the first literary description of a gear
was supplied by Aristotle. It disproves not only this myth, but
also other peremptory statements and/or axiomatic assumptions that
have no basis in written documents, archaeological findings or
other factual evidence. The book is chiefly intended for students
and lecturers, historians of science and scientists, and all those
who want to learn about the genesis and evolution of this topic.
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