By John E. T. Penny, Seamus D. Garvey, Arthur W. Lees Michael I. Friswell
This booklet equips the reader to appreciate each very important element of the dynamics of rotating machines. Will the vibration be huge? What impacts computer balance? How can the vibration be lowered? Which kinds of rotor vibration are the worst? The publication develops this knowing at the start utilizing very simple versions for every phenomenon, during which (at such a lot) 4 equations seize the habit. extra designated versions are then built in accordance with finite aspect research, to let the actual simulation of the suitable phenomena for actual machines. research software program (in MATLAB) is linked to this publication, and newbies to rotordynamics can count on to make stable predictions of serious speeds and rotating mode shapes inside of days. The booklet is established extra as a studying consultant than as a reference tome and offers readers with greater than a hundred labored examples and greater than a hundred difficulties and suggestions.
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Extra resources for Dynamics of Rotating Machines
6) are physically smaller than turbo-generators and have a very high power-to-weight ratio. Typically, they produce power outputs of 50 MW with a rotational speed of up to 21,000rev/min. There are usually two or three co-axial rotors, the longest of which is typically 3 m long, and they are sup ported by rolling-element bearings. Thin diaphragms support the bearings so that the bearing supports are laterally stiff but axially flexible. Forces are exerted on the rotor by a series of squeeze-film dampers comprising an oil-filled clearance between the rotor and a housing that can float (being connected to a soft spring).
These assumptions and simplifications lead to the concept of a discrete system - that is, a system built up from discrete components. Further simplification results from the assumption that there is a linear relationship between applied forces and resultant displacements. 1. A typical load-deflection curve for a nonlinear spring. systems vibrate with only small oscillations. Some types of bearings, for example, have nonlinear characteristics; however, for small oscillations, linear models with speed-dependent properties may be obtained.
80) for a system with n degrees of freedom, we have <7oi : ai„(cu) Qoi <*2i M aji(w ) : « 2/i() a n (cD) Qon Consider how we might measure or define the value of au(ci>), where i and I can take any values in the range 1 ,2 ,.... n. 83) From this, we can see that the receptance a (f(w) - that is, the receptance value relating locations i and I at excitation frequency to - is defined as follows: (&>) represents the amplitude and phase of the harmonic displacement at coordinate i in response to the application of a unit harmonic force, of frequency w, applied at coordinate ( only.
Dynamics of Rotating Machines by John E. T. Penny, Seamus D. Garvey, Arthur W. Lees Michael I. Friswell