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. qThis book is a necessary addition to the library of engineers and mathematicians working in vibration theory.q Mathematical ReviewsChapter 12 discusses families of isospectral continuous systems. ... Section 14.4 briefly reports on this research. ... The history of mathematics and the physical sciences leads to an important far-reaching conclusion: the study of one topic can anbsp;...

Title | : | Inverse Problems in Vibration |

Author | : | G.M.L. Gladwell |

Publisher | : | Springer Science & Business Media - 2006-01-15 |

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