摘要:
A method and apparatus for circular interpolation on the basis of a given arc center O, arc starting point P.sub.s and arc end point P.sub.e. In a case where the given arc end point P.sub.e does not lie on an arc of center O passing through the given arc starting point P.sub.s, a new center O.sub.N of an arc passing through the points P.sub.s, P.sub.e is computed, and circular interpolation is performed on the basis of the computed center O.sub.N, the given starting point P.sub.s and the given end point P.sub.e.
摘要:
An industrial robot arc control method subjects the position of a working member to circular-arc control by interpolation while controlling the target angle of the working member with respect to a surface to be worked, which working member is mounted on the wrist of an industrial robot. The industrial robot circular arc control method includes obtaining corresponding points (P1, P2 . . . ; Q1, Q2 . . . ;) of the tip and base of the working member (TC) at plural taught points for circular-arc control of the tip of the working member, which is mounted on a wrist (HD) of the robot, finding interpolated points of the tip and base of the working member by interpolation from the corresponding taught points, and obtaining command quantities for the motion axes of the robot from the interpolated points.
摘要:
The present invention, by manually operating a robot and memorizing a position of the extremity of the robot, teaches a reference point representing a representative position and orientation on a moving path and a relative position of an operating position of a robot extremity in operation from the above-mentioned reference point, and designate a path of a moving position of the robot extremity in operation by an array of the reference points, and teachings of the moving path and a gripping position can be separated each other, and an accurate and easy teaching is enabled.
摘要:
A curved surface generation method well-suited for application to the preparation of a numerical control tape used in the numerically controlled machining of a three-dimensional body such as a three-dimensional mold. The surface creation method includes steps of defining, on a first section curve or reference curve of a three-dimensional curved body, a point Pi (i=1,2 . . . ) which corresponds to a point Qi (i=1,2 . . . ) on a second section curve or reference curve, and generating an intermediate section curve in accordance with the established correspondence. A curved surface is created by collecting a plurality of the intermediate section curves together. Accordingly, the invention raises the degree of freedom with which a curved surface is created, and enables the accurate creation of a curved surface featuring subtle changes, allowing the precise machining of a three-dimensional body.
摘要:
A method for generating a path to be followed by the end effector of an industrial robot includes defining the location of points on the path, recording the coordinates of the points in cartesian space, determining the slope of the path at each of the taught points with reference to a code that defines the nature of the path in the vicinity of each point, calculating the direction vector representing the slope at each taught point, locating the position and slope of a point midway between successive taught points, connecting the taught points and the midpoints with a circular arc whose slope is equal to the slope at the taught points and midpoints, and generating points between the taught points with reference to the desired velocity of the end effector at each of the generated points on the path to be traversed.
摘要:
A cut contour display method in a wire electric discharge machine for subjecting a workpiece to taper cutting by moving a workpiece relative to a wire electrode and moving a wire tensioning guide horizontally has a first step of entering a programmed path (WDP) lying on the lower surface of the workpiece, workpiece thickness, data including a taper angle or a vector indicating a positional offset between the upper and lower surfaces of the workpiece, and data specifying a number of cross-sectional contours. A second step includes obtaining a wire electrode path (WUP) on the upper surface of the workpiece, which is not a programmed surface, by using the programmed path (WDP), workpiece thickness, and the taper angle or vector indicative of the positional offset. A third step includes obtaining coordinate values of points on each cross-sectional contour at an end portion of each block by using data indicative of the wire electrode paths on the upper and lower surfaces of the workpiece and the number n of cross sections. A fourth step includes displaying, on a display unit, the wire electrode paths on the upper and lower surfaces of the workpiece, as well as each cross-sectional contour of the taper-cut surface, by using the data indicative of the wire electrode paths on the upper and lower surfaces of the workpiece and coordinate values of the points on each cross-sectional contour at the end portion of each block.
摘要:
A linear interpolating method used for controlling the movement of a robot in which a speed distribution at the time of linear movement of a multi-articular robot involves a linear acceleration and deceleration so that precision of movement is improved at a driving start point and an end point of the robot. Linear acceleration and deceleration are realized by a discrete time state equation so that a sampling time is reduced and the precision of a straight line is improved while making high speed movement possible. The method computes a positional deviation on the basis of the present position and a target position and then exact driving is maintained via compensating for positional deviation.
摘要:
A cylindrical interpolation system for machining a cylindrical surface of a cylindrical workpiece, wherein a tool diameter correcting means (104) obtains a tool center path by calculating a tool diameter offset vector for a machining shape specified with reference to an assumed orthogonal coordinate system, and an interpolating means (107) interpolates the tool center path and outputs an interpolation pulse (PCyi) related to an assumed linear axis and an interpolation pulse (PZi) related to a cylindrical axis. To effect a reverse conversion from the assumed orthogonal coordinate system to the cylindrical coordinate system, a pulse converting means (108) converts the interpolation pulse (PCyi) into an interpolation pulse (PCi) for rotating the rotary axis. A block-start correction component calculating means (105) and synchronous correction component calculating means (109) calculate correction components (Vcy, .DELTA.Vcy), and these correction components (Vcy, .DELTA.Vcy) are interpolated by a block-start correction component interpolating means (106) and synchronous correction component interpolating means (110), and added to the interpolation pulse (PCi) for rotating the rotary axis. As a result, the tool cutting surface can be always located immediately above the axis of rotation of the workpiece, and the side surface being machined is at a right angle to the cylindrical surface of the workpiece.
摘要:
A curved surface generation method well-suited for application to the preparation of a numerical control tape used in the numerically controlled machining of a three-dimensional body such as a three-dimensional mold. The surface creation method includes steps of defining, on a first section curve or reference curve of a three-dimensional curved body, a point Pi (i=1,2 . . . ) which corresponds to a point Qi (i=1,2 . . . ) on a second section curve or reference curve, and generating an intermediate section curve in accordance with the established correspondence. A curved surface is created by collecting a plurality of the intermediate section curves together. Accordingly, the invention raises the degree of freedom with which a curved surface is created, and enables the accurate creation of a curved surface featuring subtle changes, allowing the precise machining of a three-dimensional body.
摘要:
A method of creating the curved surface of a three-dimensional curved body, including steps of entering a section curve of the three-dimensional curved body and partitioning information such as the number of partitions and partitioning pitch, partitioning the section curve, successively obtaining a plurality of intermediate section curves so as to contain each of the partitioning points, creating a curved surface on the basis of a plurality of the intermediate section curves and, in the machining operation, transporting a tool along each intermediate section curve. By conducting machining in this fashion, processing can be executed uniformly and machining accuracy improved without requiring that the partitioning axis be changed, even when the curvature of the curved surface varies.