Analytical Methods in Rotor Dynamics: Second Edition by Andrew D. Dimarogonas

By Andrew D. Dimarogonas

The layout and development of rotating equipment working at supercritical speeds used to be, within the Twenties, an occasion of innovative value for the then new department of dynamics often called rotor dynamics. within the Nineteen Sixties, one other revolution happened: In under a decade, imposed via operational and monetary wishes, a rise within the strength of turbomachinery via one order of value happened. Dynamic research of advanced rotor types turned a need, whereas the significance of approximate tools for dynamic research was once under pressure. ultimately, the emergence of fracture mechanics, as a brand new department of utilized mechanics, supplied analytical instruments to enquire crack impact at the dynamic habit of rotors.

The scope of this e-book is predicated on these kind of advancements. No subject matters with regards to the well known classical difficulties are incorporated, quite the e-book offers solely with glossy high-power turbomachinery.

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However, if the series of the coefficients Ak and Bk in Eq. 13) are absolutely converging, the latter can be easily evaluated or, alternatively, higher terms can be neglected, and the problem can be solved, by long computations in any case. The method is not very practical; however, it appears to be the only one operating with functions f(t), for which no analytical expression is available, as occurs with experimentally determined forms. Apart from Hill’s method of infinite determinants, further methods have been developed for the treatment of coupled Mathieu equations [17], based on the expansion of the converging infinite determinant, which also provides a criterion for stability of the solution.

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