经典转子动力学教材（Springer）

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Mechanical Engineering Series
Dynamics of Rotating Systems
Frederick F. Ling



• Chapter 1: Introduction. The basic concepts, graphical representation,
and methods of rotordynamics are illustrated in a qualitative
way. The expert reader, although familiar with these concepts, should
not skip it altogether because the basic notation and the viewpoint
that will be followed in the whole text are described.
Part 1: Basic topics
• Chapter 2: Je􀀞cott rotor. The so-called Je􀀞cott rotor is the simplest
rotor model that can be conceived. Although unable to account for
some typical phenomena linked with rotordynamics, like gyroscopic
e􀀞ect or centrifugal sti􀀞ening, it allows us to gain a good insight
into the peculiarities of rotating systems. In particular, it is essential
for understanding the role of damping in rotordynamics. The topics
dealt with are as a whole standard, but the part on nonsynchronous
damping, studied together with E. Brusa and published in [1], is less
common.
• Chapter 3: Model with four degrees of freedom: Gyroscopic e􀀞ect. A
simple model in which a rigid body is substituted for the point mass
of the Je􀀞cott rotor is then studied, to allow the study of gyroscopic
e􀀞ects. This model is representative for the behavior of any rigid rotor
on compliant bearings and allows us to define a modal gyroscopic
system, on which modal decomposition of rotors can be based under
some assumptions.
• Chapter 4: Discrete multi-degrees-of-freedom rotors. The lateral behavior
of a flexible rotor modeled as a discrete parameter beamlike
(1-D approach) system is then studied. Older approaches, like the
transfer matrices methods, are dealt with together with more modern
ones, like the finite element method (FEM). Some work on reduction
techniques by S. Carabelli and A. Tonoli [2] has been included.
• Chapter 5: Continuous systems: Transmission shafts. A short account
on modeling simple rotors as continuous system is then included. This
chapter can be considered more of academic rather than of practical
relevance.
• Chapter 6: Anisotropy of rotors or supports. If either the rotor or
the stator are not isotropic, it is still possible to obtain a closed-form
solution for the linearized steady-state dynamics. Such systems are
studied with particular reference to the backward whirling caused
by unbalance in isotropic rotors on asymmetric supports and to the
instability ranges of nonsymmetric rotors on isotropic supports.
• Chapter 7: Torsional and axial dynamics. The axial and torsional
dynamics of rotors is briefly dealt with. Considering that the torsional
and axial behavior is una􀀞ected by the rotation of the system (at
least if the basic assumptions of linearity and small displacements
are made), just a brief account is reported.
• Chapter 8: Rotor-bearings interaction. The interaction between the
behavior of the rotor and of the bearing is a complex subject, mainly
because of the nonlinear behavior of the latter. The approach here followed
is the classic one: The nonlinearity of the bearings is accounted
for in computing their working conditions, and then the dynamic behavior
is linearized assuming small displacements about the static
equilibrium position (at speed). Rolling elements and lubricated and
magnetic bearings are dealt with.
Part 2: Advanced topics
• Chapter 9: Anisotropy of rotors and supports. The assumption that
either the stator or the rotor is isotropic is dropped. No closed-form
solution is any more possible, although a truncated series solution
can be attempted.
• Chapter 10: Nonlinear rotordynamics. Here another assumption, that
of linearity, is dropped. The phenomena typical of nonlinear systems,
like jumps and even chaotic behavior are discussed.
• Chapter 11: Nonstationary rotordynamics. The spin speed is no more
assumed to be constant, or other parameters, like unbalance, are allowed
to change. In particular, the acceleration of the rotor through
a critical speed and the occurrence of a blade loss are dealt with in
detail. The work performed with C. Delprete [3] has been thoroughly
used.
• Chapter 12: Dynamic behavior of free rotors. Unconstrained rotating
objects, like spinning celestial bodies or spacecraft, can be considered
as rotors. The main aim of this section is to show that the assumption
of constant angular momentum, typical of the dynamic study of
free rotors, and that of constant angular velocity, typical of classic
rotordynamics, coincide when the small displacement and rotations
assumptions is made, so that the first can be approached with the
methods of the latter. The chapter is based on the work performed
with E. Brusa [4], [5].
• Chapter 13: Dynamics of rotating beams and blades. The e􀀞ect of
rotation, about an axis perpendicular to their longitudinal axis, on
the dynamic behavior of beams and the blades-rotor interaction is
studied using simple models. The well-known phenomena related to
propeller and helicopter rotors’ instability are dealt with, as well as
other less-known phenomena regarding the e􀀞ects of blade damping
on the stability of a bladed rotor.
• Chapter 14: Dynamics of rotating discs and rings. Turbine and compressor
discs are assumed, in classic rotordynamics, to behave as rigid
bodies. In this chapter, this assumption is dropped and the e􀀞ects of
the flexibility of the discs are dealt with using simple models, starting
from that introduced about 80 years ago by Southwell [6].
• Chapter 15: Three-dimensional modeling of rotors. This chapter deals
with numerical modeling, mostly based on the FEM, of complex rotors.
The topics dealt with in Chapters 13 and 14 using simplified
models are here treated with the aim of building more accurate models,
yielding precise quantitative results. The work performed with A.
Tonoli [7, 8] and the models developed by M. Silvagni in his Ph.D.
thesis are included [9].
• Chapter 16: Dynamics of controlled rotors. Active vibration control
is increasingly applied to rotors, either together with the use of active
magnetic suspension or with techniques using active dampers or the
control of more or less conventional bearings. As already stated, no
attempt in modeling in detail the control, sensor or actuator dynamics
is done, because it would lead too far from the central topics of
this book. The work performed with S. Carabelli on sensor-actuator
colocation [10] is reported.
• Appendix A: Vectors, matrices, and equations of motion. Some basic
topics of system dynamics, particularly for the peculiar aspects
linked with rotating systems, are summarized in this appendix, which
owes much to the specific viewpoint of control theory for which the
author is indebted to S. Carabelli. The results on circulatory and
noncirculatory coupling published by Crandall [11] and relevant for
rotordynamics are reported.
• Appendix B: An outline on rotor balancing. As many very good books
have been written on rotor balancing, only a short account on the
basic topics are dealt with.
• Appendix E: Bibliography. Some of the books specifically devoted to
rotordynamics are listed in chronological order.

pythonworl

纯英文的，太高深！

mxlzhenzhu

要是能弄到Friswell教授最近出版的那本就好了！