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Dynamics of Mechanical Systems with Non-Ideal Excitation (Hardcover, 1st ed. 2018)
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Dynamics of Mechanical Systems with Non-Ideal Excitation (Hardcover, 1st ed. 2018)
Series: Mathematical Engineering
Expected to ship within 12 - 19 working days
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In this book the dynamics of the non-ideal oscillatory system, in
which the excitation is influenced by the response of the
oscillator, is presented. Linear and nonlinear oscillators with one
or more degrees of freedom interacting with one or more energy
sources are treated. This concerns for example oscillating systems
excited by a deformed elastic connection, systems excited by an
unbalanced rotating mass, systems of parametrically excited
oscillator and an energy source, frictionally self-excited
oscillator and an energy source, energy harvesting system, portal
frame - non-ideal source system, non-ideal rotor system, planar
mechanism - non-ideal source interaction. For the systems the
regular and irregular motions are tested. The effect of
self-synchronization, chaos and methods for suppressing chaos in
non-ideal systems are considered. In the book various types of
motion control are suggested. The most important property of the
non-ideal system connected with the jump-like transition from a
resonant state to a non-resonant one is discussed. The so called
'Sommerfeld effect', resonant unstable state and jumping of the
system into a new stable state of motion above the resonant region
is explained. A mathematical model of the system is solved
analytically and numerically. Approximate analytical solving
procedures are developed. Besides, simulation of the motion of the
non-ideal system is presented. The obtained results are compared
with those for the ideal case. A significant difference is evident.
The book aims to present the established results and to expand the
literature in non-ideal vibrating systems. A further intention of
the book is to give predictions of the effects for a system where
the interaction between an oscillator and the energy source exist.
The book is targeted at engineers and technicians dealing with the
problem of source-machine system, but is also written for PhD
students and researchers interested in non-linear and non-ideal
problems.
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