In the first, 1986, edition of this book, inverse problems in
vibration were interpreted strictly: problems concerning the
reconstruction of a unique, undamped vibrating system, of a
specified type, from specified vibratory behaviour, particularly
specified natural frequencies and/or natural mode shapes.
In this new edition the scope of the book has been widened to
include topics such as isospectral systems- families of systems
which all exhibit some specified behaviour; applications of the
concept of Toda flow; new, non-classical approaches to inverse
Sturm-Liouville problems; qualitative properties of the modes of
some finite element models; damage identification.
With its emphasis on analysis, on qualitative results, rather
than on computation, the book will appeal to researchers in
vibration theory, matrix analysis, differential and integral
equations, matrix analysis, non-destructive testing, modal
analysis, vibration isolation, etc.
"This book is a necessary addition to the library of engineers and
mathematicians working in vibration theory." Mathematical
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