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224                          Advances in Productive, Safe, and Responsible Coal Mining

         Fig. 12.5D, and the main part of the drum were still given the material properties of
         steel. For the baseline case, the whole drum was defined as steel.
            For the force isolation case, in the frequency range of interest (below 2kHz), the bit
         and bit holder vibrate almost as a rigid body with relatively low natural frequencies,
         due to the flexibility provided by the rubber layer. Meanwhile, the main part of the
         drum has many flexible modes with relatively high natural frequencies, some of which
         are significant contributors to the total noise radiation. For frequencies above the
         highest natural frequency for which the bit and bit holder behave as a rigid body,
         the force transmitted to the main part of the drum can be significantly reduced, due
         to the  20dB/decade slope of the transfer function. However, at frequencies where
         the bit and bit holder behave as a rigid body, larger forces can be transmitted to
         the main drum structure due to the resonance.
            To reduce the force transmission for all the frequencies, the drum design should be
         modified so that the highest natural frequency of the bit and bit holder assembly rigid
         modes is lower than the first flexible mode of the main drum structure. In practical
         terms, natural frequencies of the bit and bit holder system can be adjusted by using
         different rubber materials.
            In this study, the properties of actual industrial rubber materials were used to eval-
         uate the effect of the bit isolation concept on sound radiation, and significant sound
         power reduction of up to 25.9dB(A) was achieved. However, after the authors dis-
         cussed this concept with cutting-drum design engineers, it was concluded that this
         concept is not suitable for the cutting drum due to adverse cutting performance and
         durability issues that the viscoelastic material would pose.



         Damping treatment
         Experimental modal analysis tests conducted on a newly manufactured drum indi-
         cated that the longwall-cutting drum is very lightly damped [17]. A uniform 0.01 loss
         factor was used for the structure in the structural-acoustic simulation as an approxi-
         mation of the damping ratio obtained experimentally [20]. Due to the small damping
         ratio, there are many sharp peaks in the predicted sound power level spectra. Those
         peaks can be suppressed by increasing the damping ratio of the drum. Therefore, the
         effect of increasing the damping on the predicted overall sound power level of the
         noise radiated by the longwall-cutting drum was evaluated using numerical models.
            The overall sound power level below 2kHz, predicted using a uniform 0.01 loss
         factor, was taken as the baseline. The overall sound power levels for two additional
         cases—one with a uniform 0.02 loss factor and another with a uniform 0.03 loss
         factor—were calculated and compared with the baseline prediction. For the 0.02 loss
         factor and for the 0.03 loss factor, the overall sound power level reductions were
         3.3dB(A) and 5.2dB(A), respectively.
            Despite these reductions, this noise control concept does not constitute a very
         attractive strategy for the longwall-cutting drum. On the one hand, increasing the
         damping of the drum would require some type of damping treatments (e.g., attaching
         a layer of viscoelastic material to the surface of the drum), which, due to the adverse
         environment, would have durability issues. On the other hand, it would not be
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