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Vibro-Impact Dynamics - Modeling, Mapping and Applications (Hardcover, 2009 ed.)
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Vibro-Impact Dynamics - Modeling, Mapping and Applications (Hardcover, 2009 ed.)
Series: Lecture Notes in Applied and Computational Mechanics, 43
Expected to ship within 10 - 15 working days
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Vibro-impact dynamics has occupied a wide spectrum of studies by
dyn- icists, physicists, and mathematicians. These studies may be
classi?ed into three main categories: modeling, mapping and
applications. The main te- niques used in modeling of vibro-impact
systems include phenomenological modelings, Hertzian models, and
non-smooth coordinate transformations- velopedbyZhuravlevandIvanov.
Oneofthemostcriticalsituationsimpeded
invibro-impactsystemsisthegrazingbifurcation.
Grazingbifurcationisu- ally studied through discontinuity mapping
techniques, which are very useful to uncover the rich dynamics in
the process of impact interaction. Note the availablemappings
arevalidonly intheabsenceofnon-impactnonlinearities. Complex
dynamic phenomena of vibro-impact systems include subharmonic
oscillations, chaotic motion, and coexistence of di?erent
attractors for the sameexcitationand systemparametersbut under
di?erent initial conditions.
Selectedapplicationsofvibro-impactdynamics. Theseincludelumpedand
continuous systems. Lumped systems cover a bouncing ball on an
oscillating barrier, mass-spring-dashpot systems, normal and
inverted pendulums, the spherical pendulum, the ship roll motion
against icebergs, joints with fr- play, rotor-stator rubbing in
rotating machinery, vocal folds, microactuators, strings, beams,
pipes conveying ?uids with end-restraints, nuclear reactors and
heat exchangers, and plates. These applications are discussed
within the framework of the deterministic theory. Under random
excitation the tre- ment requires special tools. The techniques of
equivalent linearization and stochastic averaging have been applied
to limited number of problems. One of the most bene?cial outcomesof
vibro-impact dynamics is the development of impact dampers, which
have witnessed signi?cant activities over the last four decades and
have been used in several applications. On the other hand,
vibro-impacthas detrimental e?ects on the operationsof
mechanicalsystems and damage of pipes and rods in nuclear reactors.
General
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