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Frequency response curve of a harmonic cantilever with an attached concentrated mass (solid line) is compared with that of an uniform cantilever (dotted line). [The frequency and the vibration magnitude are normalized by the fundamental natural frequency and the amplitude at low frequency , respectively. , , the quality factor .] Arrows indicate the 5th and 15th harmonics of the fundamental frequency which are significantly enhanced by the second and third eigenmodes of the harmonic cantilever, respectively.
Values of the concentrated mass and its position which ensure that (a) or (b) are exactly integers. The integers are labeled on the corresponding curves.
Values of (, ) (for the case ) which ensure that both and are integers.
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