This book offers up novel research which uses analytical approaches
to explore nonlinear features exhibited by various dynamic
processes. Relevant to disciplines across engineering and physics,
the asymptotic method combined with the multiple scale method is
shown to be an efficient and intuitive way to approach mechanics.
Beginning with new material on the development of cutting-edge
asymptotic methods and multiple scale methods, the book introduces
this method in time domain and provides examples of vibrations of
systems. Clearly written throughout, it uses innovative graphics to
exemplify complex concepts such as nonlinear stationary and
nonstationary processes, various resonances and jump pull-in
phenomena. It also demonstrates the simplification of problems
through using mathematical modelling, by employing the use of
limiting phase trajectories to quantify nonlinear phenomena.
Particularly relevant to structural mechanics, in rods, cables,
beams, plates and shells, as well as mechanical objects commonly
found in everyday devices such as mobile phones and cameras, the
book shows how each system is modelled, and how it behaves under
various conditions. It will be of interest to engineers and
professionals in mechanical engineering and structural engineering,
alongside those interested in vibrations and dynamics. It will also
be useful to those studying engineering maths and physics.
General
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