This paper deals with the reflection and passing through of the stationary flexural wave when it propagates along the infinitely long beam with a local appendage on it. In Part 1, the case of the concentrated impedance was described and some examples of absorbing the total propagating energy by the concentrated impedance was represented. Ih Part 2, the case of the distributed impedance, namely that of general damping materials was dealt with. When the beam has the distributed impedance in some region the passing through of the flexural wave could be made less by increasing the impedance, but reflection of the wave also increase in this case. The possibility of increasing the impedadce was found when the thickness directional resonance of the damping materials could be used.