Getting back to WIM32's original question from 3/19/03 on rankings of material damping capacity, the following references provide info on the subject:
Lazan,B.J.& Goodman,L.E.(1956), "Effect of Material and Slip Damping on Resonance Behavior" ASME Booklet Shock and Vibration Instrumentation, pp.55-74
Birchak,J.R. (circa 1976), "Damping Capacity of Structural Materials" Shock and Vibration Digest(?), pp.3-11
Schetky,L.M. & Perkins,J. (1978)"The Quiet Alloys", Machine Design, 4/6/78, pp.202-206
Lazan (who contributed to a book on the subject)provides tabled and plotted data for gray iron, magnesium, aluminum, 1020 steel, 403SS, and some superalloys using a damping parameter called specific damping energy in in-lb
per cu-in per cycle.
Birchak's literature review of 34 papers plots specific damping capacity vs stress for 2 plastics and 17 metals or metal alloys including cast iron, steels, brasses, magnesium alloys, stellite and a titanium alloy. He identifies Lazan's book input as:
Lazan,B.J. "Structural Damping" (J.F.Ruzika,ed.), ASME, 1959
Schetsky's article provides Specific Damping Capacity(SDC) values for 20 metals or alloys with SDC's ranging from 49%(Magnesium) to less than 0.2%(aluminum/nickel/titanium alloys and brasses). High-damping alloys are assigned SDCs of 20% or higher. SDC is defined as the percent of strain energy that is dissipated per cycle from decay of free oscillation after initial deflection of torsional, bending or axial deflection of a sample bar, assuming strain energy is proportional to amplitude.
An internet search of "material damping of vibration" indicated that most of the current work on development of high damping materials is related to composites rather than metals or metal alloys.