This 2006 book presents a systematic introduction to the theory of
parametric stability of structures under both deterministic and
stochastic loadings. A comprehensive range of theories are
presented and various application problems are formulated and
solved, often using more than one approach. Investigation of an
elastic system's dynamic stability frequently leads to the study of
dynamic behaviour of the solutions of parametrically excited
systems. Parametric instability or resonance is more dangerous than
ordinary resonance as it is characterised by exponential growth of
the response amplitudes even in the presence of damping. The
emphasis in this book is on the applications and various analytical
and numerical methods for solving engineering problems. The
materials presented are as self-contained as possible, with all of
the important steps of analysis provided in order to make the book
suitable as a graduate-level textbook and especially for
self-study.
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