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.
