Concerning the machining mechanism of ultrasonic mechanical machining, the theory of stationary vibration of an elastic bar is studied for the case when the bar is collided with a rigid body supported by the action of static pressure to obtain the displacement
U of the tip of the bar facing the rigid body. The theory, moreover, gives the impulsive force
Ft=
t1 induced at the instant when the bar collides with the rigid body. Investigating the characteristics of
U and
Ft=
t1, it is ascertained that the theoretical dispositions of these quantities are reasonable and well-founded by the experimental results obtained when the stationary ultrasonic vibration of collision between the tool of mild steel and the work of glass plate is performed by using an apparatus of ultrasonic mechanical machining of frequency of 21.5 kc/s.
Further, under the acceptable conception that the action of the displacement
U is the root of the pumping action of the ultrasonic mechanical machining and that of the impulsive force
Ft=
t1 causes the hammering action of it, the theoretical characteristic of the product of U and
Ft=
t1 is studied to obtain the theoretical matters favourable for certain to explain the experimental fact concerning the characteristics of the machining rate of the ultrasonic mechanical machining which has a special response to the variation of the static pressure.
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