Abstract: The first seating surface is contiguous to each of the front end surface and the outer circumferential surface. The second seating surface is contiguous to the front end surface. The cutting tool body is provided with a recess contiguous to each of the first seating surface, the second seating surface, and the front end surface. When the front end surface is viewed in a direction from the front end surface toward the rear end surface, a length of the recess in a direction perpendicular to a straight line parallel to the central axis and extending along the first seating surface is equal to or longer than three times as long as a length of the recess in a direction perpendicular to the first seating surface and passing through a contact point of the second seating surface, the recess, and the front end surface.

Abstract: A cutting insert is mountable on a body. The cutting insert includes: a top surface; a bottom surface opposite to the top surface; a side surface contiguous to the top surface and the bottom surface; and a cutting edge formed at a ridgeline between the top surface and the side surface. The side surface has a first surface disposed adjacent to the cutting edge and a second surface contiguous to the first surface. When viewed in a cross sectional view parallel to the bottom surface, the second surface has a first position and a second position that are brought into abutment with the body when mounted on the body. Between the first position and the second position, an imaginary straight line extending through the first position and the second position is separated from the second surface.

Abstract: A ridgeline between the top surface and the side surface includes: a nose cutting edge portion having a curved line shape, the nose cutting edge portion having a first end and a second end opposite to the first end; a major cutting edge portion contiguous to the first end; and a wiper cutting edge portion contiguous to the second end. The top surface includes: a first rake face contiguous to the wiper cutting edge portion; a second rake face contiguous to the major cutting edge portion; and a third rake face contiguous to the nose cutting edge portion and contiguous to each of the first rake face and the second rake face. A boundary line between the second rake face and the third rake face is separated from the first end and is contiguous to the major cutting edge portion.

Abstract: A cutting insert of the present disclosure includes a top surface, a bottom surface, a side surface, and a corner cutting edge, a first cutting edge, a second cutting edge and a third cutting edge formed at a ridge line formed by the side surface and the top surface. The corner cutting edge has a first end and a second end. The first cutting edge extends from the first end in a first direction. The second cutting edge extends from the second end in a second direction. The third cutting edge extends from the second cutting edge in a third direction. The top surface has a first rake face adjacent to the first cutting edge, a second rake face adjacent to the second cutting edge, and a third rake face adjacent to the third cutting edge.

Abstract: A cutting insert of the present disclosure includes a top surface, a bottom surface, a side surface, and a corner cutting edge, a first cutting edge, a second cutting edge and a third cutting edge formed at a ridge line formed by the side surface and the top surface. The corner cutting edge has a first end and a second end. The first cutting edge extends from the first end in a first direction. The second cutting edge extends from the second end in a second direction. The third cutting edge extends from the second cutting edge in a third direction. The top surface has a first rake face adjacent to the first cutting edge, a second rake face adjacent to the second cutting edge, and a third rake face adjacent to the third cutting edge.

Abstract: A cutting insert is mountable on a body. The cutting insert includes: a top surface; a bottom surface opposite to the top surface; a side surface contiguous to the top surface and the bottom surface; and a cutting edge formed at a ridgeline between the top surface and the side surface. The side surface has a first surface disposed adjacent to the cutting edge and a second surface contiguous to the first surface. When viewed in a cross sectional view parallel to the bottom surface, the second surface has a first position and a second position that are brought into abutment with the body when mounted on the body. Between the first position and the second position, an imaginary straight line extending through the first position and the second position is separated from the second surface.

Abstract: A ridgeline between the top surface and the side surface includes: a nose cutting edge portion having a curved line shape, the nose cutting edge portion having a first end and a second end opposite to the first end; a major cutting edge portion contiguous to the first end; and a wiper cutting edge portion contiguous to the second end. The top surface includes: a first rake face contiguous to the wiper cutting edge portion; a second rake face contiguous to the major cutting edge portion; and a third rake face contiguous to the nose cutting edge portion and contiguous to each of the first rake face and the second rake face. A boundary line between the second rake face and the third rake face is separated from the first end and is contiguous to the major cutting edge portion.

Abstract: The first seating surface is contiguous to each of the front end surface and the outer circumferential surface. The second seating surface is contiguous to the front end surface. The cutting tool body is provided with a recess contiguous to each of the first seating surface, the second seating surface, and the front end surface. When the front end surface is viewed in a direction from the front end surface toward the rear end surface, a length of the recess in a direction perpendicular to a straight line parallel to the central axis and extending along the first seating surface is equal to or longer than three times as long as a length of the recess in a direction perpendicular to the first seating surface and passing through a contact point of the second seating surface, the recess, and the front end surface.

Abstract: 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)=(Rsh(t)cos ?(t)?Xchip(t)), Y(t)=(Rsh(t)sin ?(t)?Ychip(t)), and Z(t)=(Zsh(t)?Zchip(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 ? ? ? ? ( t ) = tan ? ? ? · tan ? ? ? s - tan ? ? ? · tan 2 ? ? + tan 2 ? ? - tan 2 ? ? s tan ? ? ? · tan ? ? ? s + tan ? ? ? · tan 2 ? ? + tan 2 ? ? - tan 2 ? ? s .

Abstract: 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.

Abstract: 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)=(Rsh(t)cos ?(t)?Xchip(t)), Y(t)=(Rsh(t)sin ?(t)?Ychip(t)), and Z(t)=(Zsh(t)?Zchip(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 ? ? ? ? ( t ) = tan ? ? ? · tan ? ? ? s - tan ? ? ? · tan 2 ? ? + tan 2 ? ? - tan 2 ? ? s tan ? ? ? · tan ? ? ? s + tan ? ? ? · tan 2 ? ? + tan 2 ? ? - tan 2 ? ? s .

Abstract: A cutting tool according to an aspect of the present invention is a cutting tool for cutting a rotationally symmetrical surface of a rotating workpiece. The cutting includes the step of feeding the cutting tool in a direction inclined with respect to a rotational axis of the rotationally symmetrical surface, while holding the cutting tool in contact with the rotationally symmetrical surface. In the step of feeding the cutting tool, the cutting tool has a point that is in contact with the rotationally symmetrical surface and the point shifts as the cutting tool is fed. The cutting tool includes: a rake face; a flank face; and a cutting edge connecting the rake face and the flank face. The cutting edge as seen from above the flank face has a shape including at least one arc, and the arc has a radius of curvature of not less than 100 mm and not more than 500 mm.

Abstract: 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.

Abstract: A cutting tool for cutting a rotationally symmetrical surface of a rotating workpiece includes the step of feeding the cutting tool in a direction inclined with respect to a rotational axis of the rotationally symmetrical surface, while holding the cutting tool in contact with the rotationally symmetrical surface. In the step of feeding the cutting tool, the cutting tool has a point that is in contact with the rotationally symmetrical surface and the point shifts as the cutting tool is fed. The cutting tool includes: a rake face; a flank face; and a cutting edge connecting the rake face and the flank face. The cutting edge as seen from above the flank face has a shape including at least one arc, and the arc has a radius of curvature of not less than 100 mm and not more than 500 mm.

Abstract: According to an embodiment, a distance measuring apparatus includes a multi laser beam emitting unit, an irradiating position changing unit, an image acquiring unit, and a distance calculating unit. The multi laser beam emitting unit irradiates a surface of a measurement target object with a plurality of elliptical laser beams provided in line in a minor axis direction. The irradiating position changing unit reciprocally moves irradiating positions of the laser beams all together along a major axis of the laser beams. The image acquiring unit receives reflected lights of the laser beams, and acquires an image of a bright and dark pattern of the reflected lights of the laser beams formed on an image acquiring face. The distance calculating unit calculates a distance to the measurement target object based on the bright and dark pattern of the reflected lights on the image acquiring face.

Abstract: A distance measuring apparatus is characterized in that: a detection unit 1 is provided with a light beam generating unit 12 which is provided with a plurality of light beam generation optical units each of which is provided with a laser light source, and a collimator, and a light beam lighting control unit which generates pulse signals for lighting laser beams as pulse lights in time series, a camera unit 11 which generates position detection information of a plurality of the laser beams, and an optical setting unit 13 which sets the light beam generating unit and the camera unit; and projects the plurality of laser beams, and sets distances of cut lines which are respectively locus lines of the laser beams between intersection points of viewing angle end lines of the camera unit and locus lines of the laser beams, in the vertical direction, as the plurality of distance measurement ranges; and a distance calculation unit 2 obtains a distances from a reference surface, from the position detection information,