Discussion
Consider the following statements about damping.
1. The logarithmic decrement is measured from a free vibration record.
2. The half-power bandwidth is measured from a forced vibration test.
3. Rayleigh damping keeps the modal equations uncoupled.
Which are correct?
Answer: A
Correct answer: 1, 2 and 3
All three are correct and the first two describe complementary experiments. The logarithmic decrement is read from a free vibration decay, needing only a means of displacing the structure; the half-power bandwidth is read from the resonance peak of a forced vibration test, needing a shaker.
Rayleigh damping is constructed as a combination of the mass and stiffness matrices precisely so that it is orthogonal to the mode shapes, which keeps the modal equations uncoupled - a mathematical convenience rather than a physical description.
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