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In the present paper, the characteristics of low‐frequency stable damping are studied in a multiphase eutectoid Al‐Zn alloy. Experimental results show that, within a low‐temperature and low‐strain‐amplitude range, the damping evidently manifests itself by linear viscous characteristics, namely, it obeys a law Q-1=(B/fn)exp(-nH/kT), where H is the real process activation energy, B and n (=0.21) are two experimental parameters, and k is the Boltzmann constant. A value of H=0.74 eV is obtained, which is closely related to the viscosity during interface motion. Accordingly, a linear viscous interface motion mode is put forward and can explain the experimental results as well.