By Giancarlo Genta

ISBN-10: 0387209360

ISBN-13: 9780387209364

The purpose of the booklet is to provide an updated assessment of rotor dynamics, facing uncomplicated subject matters in addition to a couple of really good issues frequently to be had basically in magazine articles. half I bargains with the classical issues of rotor dynamics, the dynamic habit of linear, regular country rotating machines; simple types to boot structures with many levels of freedom acquired from finite point models.  half II, complicated rotor dynamics offers with a few really good subject matters on rotors, bearings, discs and blades.   The accompanying CD-ROM encompasses a simplified model of the DYNROT code and brief video clips.

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Example text

However, even if circular whirling is possible, other solutions, which cannot be obtained through frequency domain analysis, may be present, and general solutions, describing the behavior of the system without the need to specify the particular working conditions, do not exist. The time domain approach, based on the numerical integration in time of the dierential equations of motion, although today very popular, has the notable drawback of allowing us to solve only particular cases, without yielding a complete insight on the relevant phenomena.

Consider a vector [(w) in the state space and   0 be an equilibrium position. Such use the symbol |[(w)| for its euclidean norm. Let [ a position is stable if, for any arbitrarily small positive quantity , a positive quantity  exists such that the inequality   0| ?  |[(w) 3[   0 | ? . holds if |[(0) 3[ for 0 $ w ? 9) 20 1. , all  l ? 0. cult to apply in many engineering situations, and a technical definition of stability can be used: The behavior of a machine is considered stable when the amplitude of vibration in normal operation does not exceed a value considered acceptable.

In (a), the rotor consists of a point mass on a flexible shaft running on sti bearings. In (b), the shaft is sti while the bearings are compliant. In (c), both the shaft and the bearings are considered as deformable bodies. Point P, in which mass p is fixed, is always contained in the {|-plane. This statement is justified by the uncoupling between axial and radial motions and relies on the small displacement assumptions that are at the base of linear structural analysis. In the study of the flexural behavior, a model with only two degrees of freedom can then be used.

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Dynamics of Rotating Systems (Mechanical Engineering Series) by Giancarlo Genta

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