A manufacturing method, a manufacturing apparatus, a computer readable recording medium, and a program for manufacturing a machine component having a rotation symmetry plane are provided. According to one embodiment, the manufacturing method includes positioning a linear cutting edge (2A) inclined at an angle greater than 0 and smaller than 90 with respect to a Z axis at a cutting start position displaced from a position on an X axis along a direction of a Y axis in a three-dimensional orthogonal coordinate system in which an axial line of rotation of a rotation symmetry plane (1A) is defined as the Z axis, an axis in a radial direction of the rotation symmetry plane is defined as the X axis, and an axis orthogonal to both of the Z axis and the X axis is defined as the Y axis and machining the rotation symmetry plane (1A) by feeding the cutting edge (2A) from the cutting start position along a track having an X axis component, a Y axis component, and a Z axis component while the cutting edge is in contact with a rotating machine component (1).

A method for manufacturing a machine component includes determining a track of a cutting edge and feeding the cutting edge along the track. The determining a track includes calculating a coordinate (X(t), Y(t), Z(t)) of a first end portion of the cutting edge in accordance with X(t)=(R.sub.sh(t)cos (t)X.sub.chip(t)), Y(t)=(R.sub.sh(t)sin (t)Y.sub.chip(t)), and Z(t)=(Z.sub.sh(t)Z.sub.chip(t)), where a variable t assumes (N+1) values not smaller than 0 and not greater than 1. (t) represents an angle formed by a straight line connecting a point of cutting projected on an XY plane and an origin of the XY plane to each other with respect to an X axis, and (t) satisfies a condition $\tan \left(t\right)=\frac{\tan .Math.\tan {}_s-\tan .Math.\sqrt{{\tan }^2+{\tan }^2-{\tan }^2{}_s}}{\tan }$

A method of correcting a track of a cutting edge is provided. With movement of the cutting edge, a point on the cutting edge in contact with the rotation symmetry plane is moved along the cutting edge from a first end portion of the cutting edge to a second end portion of the cutting edge opposite to the first end portion. The correction method includes measuring, by a measurement unit, a shape of the cut and machined rotation symmetry plane, calculating, by an operation unit, an error of the measured shape of the rotation symmetry plane from a target shape of the rotation symmetry plane in a direction of the axial line of rotation, and correcting, by the operation unit, a component in the direction of the axial line of rotation of a track of a point of cutting based on the error.

A method for manufacturing a machine component includes determining a track of a cutting edge and feeding the cutting edge along the track. The determining a track includes calculating a coordinate (X(t), Y(t), Z(t)) of a first end portion of the cutting edge in accordance with X(t)=(R.sub.sh(t)cos (t)X.sub.chip(t)), Y(t)=(R.sub.sh(t)sin (t)Y.sub.chip(t)), and Z(t)=(Z.sub.sh(t)Z.sub.chip(t)), where a variable t assumes (N+1) values not smaller than 0 and not greater than 1. (t) represents an angle formed by a straight line connecting a point of cutting projected on an XY plane and an origin of the XY plane to each other with respect to an X axis, and (t) satisfies a condition

[00001]$\tan .Math..Math.\left(t\right)=\frac{\tan .Math..Math..Math.\tan .Math..Math.{}_s-\tan .Math..Math..Math.\sqrt{{\tan }^2.Math.+{\tan }^2.Math.-{\tan }^2.Math.{}_s}}{\tan .Math..Math..Math.\tan .Math..Math.{}_s+\tan .Math..Math..Math.\sqrt{{\tan }^2.Math.+{\tan }^2.Math.-{\tan }^2.Math.{}_s}}.$

A manufacturing method, a manufacturing apparatus, a computer readable recording medium, and a program for manufacturing a machine component having a rotation symmetry plane are provided. According to one embodiment, the manufacturing method includes positioning a linear cutting edge (2A) inclined at an angle greater than 0 and smaller than 90 with respect to a Z axis at a cutting start position displaced from a position on an X axis along a direction of a Y axis in a three-dimensional orthogonal coordinate system in which an axial line of rotation of a rotation symmetry plane (1A) is defined as the Z axis, an axis in a radial direction of the rotation symmetry plane is defined as the X axis, and an axis orthogonal to both of the Z axis and the X axis is defined as the Y axis and machining the rotation symmetry plane (1A) by feeding the cutting edge (2A) from the cutting start position along a track having an X axis component, a Y axis component, and a Z axis component while the cutting edge is in contact with a rotating machine component (1).

A method includes positioning a linear cutting edge inclined at an angle greater than 0 and smaller than 90 with respect to a Z axis at a cutting start position displaced from a position on an X axis along a direction of a Y axis in a three-dimensional orthogonal coordinate system in which an axial line of rotation of a rotation symmetry plane is defined as the Z axis, an axis in a radial direction of the rotation symmetry plane is defined as the X axis, and an axis orthogonal to both of the Z axis and the X axis is defined as the Y axis and machining the rotation symmetry plane by feeding the cutting edge from the cutting start position along a track having an X axis component, a Y axis component, and a Z axis component while the cutting edge is in contact with a rotating machine component.

A method of correcting a track of a cutting edge is provided. With movement of the cutting edge, a point on the cutting edge in contact with the rotation symmetry plane is moved along the cutting edge from a first end portion of the cutting edge to a second end portion of the cutting edge opposite to the first end portion. The correction method includes measuring, by a measurement unit, a shape of the cut and machined rotation symmetry plane, calculating, by an operation unit, an error of the measured shape of the rotation symmetry plane from a target shape of the rotation symmetry plane in a direction of the axial line of rotation, and correcting, by the operation unit, a component in the direction of the axial line of rotation of a track of a point of cutting based on the error.

A method includes positioning a linear cutting edge inclined at an angle greater than 0 and smaller than 90 with respect to a Z axis at a cutting start position displaced from a position on an X axis along a direction of a Y axis in a three-dimensional orthogonal coordinate system in which an axial line of rotation of a rotation symmetry plane is defined as the Z axis, an axis in a radial direction of the rotation symmetry plane is defined as the X axis, and an axis orthogonal to both of the Z axis and the X axis is defined as the Y axis and machining the rotation symmetry plane by feeding the cutting edge from the cutting start position along a track having an X axis component, a Y axis component, and a Z axis component while the cutting edge is in contact with a rotating machine component.