Viscous Damping Ratios
System (a) |
Viscous Damping Ratio z
(b) |
Metals (in elastic range) |
less than 0.01 |
Continuous metal structures |
0.02 - 0.04 |
Metal structures with joints |
0.03 - 0.07 |
Aluminum / steel transmission lines |
~ 0.04 |
Small diameter piping systems |
0.01 - 0.02 |
Large diameter piping systems |
0.02 -0.03 |
Auto shock absorbers |
~ 0.30 |
Rubber |
0.05 |
Large buildings during earthquake |
0.01 - 0.05 |
Prestressed
concrete structures |
0.02 -0.05 |
Reinforced concrete structures |
0.04 -0.07 |
(a) The data are taken from: Vince
Adams and Abraham Askenazi,
Building Better Products with Finite Element Analysis, OnWord
Press, Santa Fe, NM.
(b) The viscous damping ratios are given as percentages of critical
damping.
Material |
Viscous Damping Ratio z
(under
approximately 20o C)
(c) |
Aluminum |
~ 0.5 10-4 |
Lead (pure) |
~ 10-2 |
Iron |
1 to 3 10-4 |
Copper (polycrystalline) |
10-3 |
Magnesium |
~ 0.5 10-4 |
Brass |
< 0.5 10-3 |
Nickel |
< 0.5 10-3 |
Silver |
< 1.5 10-3 |
Bismuth |
~ 4 10-4 |
Zinc |
~ 1.5 10-4 |
Tin |
~ 10 10-4 |
(c) The viscous damping ratios are obtained by dividing by 2 the flexural
loss factors of the materials given in: L.Cremer and M. Heckl, Stucture-Borne
Sound, Springer-Verlag, New York, 1988.