Abstract: An involute interpolation method for machining operations is used in a numerical control apparatus.A rotational direction (G03.1) of an involute curve, an incremental distance along the involute curve or an incremental angle, a center position (X.sub.0, Y.sub.0) of a base circle and a radius (R) of the base circle are obtained per the instruction. The involute curve is interpolated using a predetermined distance or predetermined angle.The above processing is executed with a numerical control apparatus and pulse distributions are continuously carried out. Therefore, the involute curve can be interpolated without need for a special program producing system.

Abstract: A numerical control method is provided, which is capable of compensating for a response delay of a servo system to command pulses to thereby make it possible to repetitively effect reciprocal movement of a controlling object at a high speed over the entirety between target positions inclusive of these positions, without the need of increasing a time period for execution of a desired operation.

Abstract: An involute interpolation method for use in machining by a numerical control apparatus.A rotational direction (G03.1) of an involute curve, coordinates of an end point (Xe, Ye), a center position (I, J) of a base circle as viewed from a start point, and a radius (R) of the base circle are instructed, from two equations representing the involute curve sequence of points are obtained, and interpolation of the involute curve is performed while interpolating those points in a range of the angle .theta. corresponding to the start point on the involute curve to the end point thereon.The increment of .theta. is decremented in proportion to the increment of the angle owing to the factor K/ (R.multidot..theta.), so that the interpolation is performed in such a manner that the speed in the tangential direction is made at constant, whereby a machining speed of the involute curve is maintained at constant.

Abstract: The designated speeds of a plurality of blocks are read beforehand, deceleration start positions are calculated to maintain the servo system at a speed below the designated speeds of the blocks read beforehand at the start positions of the previously read blocks, and the servo system is decelerated from the calculated deceleration start positions, whereby the servo system speed is kept below the designated speeds of all of the blocks and the deceleration of the speed of the servo system is controlled with a high degree of accuracy.

Abstract: A numerical controller of the type in which acceleration or deceleration processing is performed by an acceleration/deceleration circuit (7) prior to an interpolation by an automatic mode distributor (1); a smooth acceleration or deceleration is carried out when a distribution pulse from a manual mode distributor (2) is superimposed by an adder 3 on a distribution pulse from the automatic mode distributor (1). To achieve this, the command pulse to be superimposed is also subjected to independent acceleration or deceleration processing by an acceleration/deceleration circuit (10).

Abstract: In order to permit manual operation under a condition where the axial direction of a tool and the direction of a hole to be machined in a workpiece are held in agreement, the tool of a radius .gamma. is rotated by .theta. in the vertical rotational direction and by .rho. in the horizontal rotational direction in a orthogonal coordinate system and in a spherical coordinate system the origins of which coincide with the center of rotation of the tool. Upon doing so, in the orthogonal coordinates, the position of the front end of the tool becomes X.sub.0 =.gamma. sin .theta..multidot.cos .rho., Y.sub.0 =.gamma. sin .theta..multidot.sin .rho. and Z.sub.0 =.gamma. cos .theta.. Therefore, a train of pulses (Hp) from a manual pulse generator are distributed as X-, Y- and Z-axial components in the proportion to the above values by a manual pulse distribution circuit, and motors for the respective axes are driven through servo circuits by the pulses.

Abstract: The coordinate values (X, Y, Z) for the position of the front end of a tool and the vector (I, J, K) of the axial direction of the tool are read in from a command tape by a tape reader. Using these values and a tool length l set by a dial or the like, a movement data calculation circuit calculates the orthogonal coordinate values (x, y, z) of the position Q of the center of rotation of the tool and spherical coordinate values (b, c) indicative of the position of the rotational angle of the tool. After these coordinate values are converted into pulses for moving the tool in the respective axial directions by a pulse distribution circuit, servomotors are driven by the pulse signals and through servo circuits so as to move the tool or a table to a desired machining position.