By Tomasz Krysinski
For all rotational machines, the research of dynamic stresses and the ensuing vibrations is a vital topic. in terms of helicopters and piston engines, this research turns into the most important. From the layout of elements operating below tension to the relief of the vibration degrees, the luck of a undertaking lies typically within the palms of the dynamicists.
The authors have mixed their abilities and event to supply an entire presentation at the matters concerned. half one describes, in concrete phrases, the most dynamic phenomena and the way they are often saw actually. half offers information regarding the modeling tools required to appreciate the dynamic phenomena and boost options able to taking out the main critical results.
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Additional info for Mechanical vibrations: active and passive control
Example text
2. The method of simultaneous planes – influence coefficients Vibrations at the right of the bearings shall be measured. These vibrations are function of the vibratory source, which is the unbalance in our case, and of the Unbalance and Gyroscopic Effects 25 structure behavior, function of transfer. It is supposed that behavior in small motion is linear. 32] Z1 and Z2 represent the vibrations at bearings 1 and 2. F1 and F2 represent the contribution of unbalance as “seen” by the bearings. 22]).
29. 2. Forward precession of the flexible shaft It is noticed that the distance between a certain point of the shaft B and the axis A does not vary in time. The two motions of rotation have the same frequency. In fact, the forward precession does not induce dynamic constraints in the shaft but only static ones. 30. Frequency response to unbalance of a flexible shaft for different damping ratios When the two motions are performed in opposite directions, we have what is called nostalgic precession.
Therefore, the measurement of displacements and phases at the right of the bearings makes it possible to define the value of e and the position of the center of inertia. Reduced amplitude of motion The advantages of this type of machine are its simple implementation and relatively low price. 9. 10. 2. The hard-bearing machine For hard-bearing machines, balance is obtained by measuring the reactions at the bearings. This device is often called “subcritical balancing machine” because balance is obtained at a speed of rotation less than the natural angular frequency ωp.