Abstract: A vibration cutting insert includes a top surface having a rake face and a breaker face, a first side surface, a second side surface, and a bottom surface. In a cross section which includes a bisector of an angle formed between a first ridgeline and a second ridgeline when viewed in a direction from the top surface toward the bottom surface, and which is parallel to the direction from the top surface toward the bottom surface, a rake angle formed between the rake face and a plane parallel to the bottom surface has a positive angle. The angle formed between the first ridgeline and the second ridgeline is an acute angle. The rake face constitutes a cylindrical surface. The breaker face constitutes a flat surface.

Abstract: A cutting tool includes a body, a first cutting insert, a second cutting insert, and a third cutting insert. The body has a front end surface and an outer circumferential surface. The first cutting insert is attached to a first pocket. The second cutting insert is attached to a second pocket. The third cutting insert is attached to a third pocket. The first pocket has a first seat surface, a second seat surface, a third seat surface, and a first swarf discharging groove. The second pocket has a fourth seat surface, a fifth seat surface, a sixth seat surface, and a second swarf discharging groove. The third pocket has a seventh seat surface, an eighth seat surface, a ninth seat surface, and a third swarf discharging groove. In a cross section perpendicular to an axis, an angle formed between a straight line along the sixth seat surface and a tangent of the second swarf discharging groove at a boundary between the outer circumferential surface and the second swarf discharging groove is more than 90°.

Abstract: A vibration cutting insert includes a top surface having a rake face and a breaker face, a first side surface, a second side surface, and a bottom surface. In a cross section which includes a bisector of an angle formed between a first ridgeline and a second ridgeline when viewed in a direction from the top surface toward the bottom surface, and which is parallel to the direction from the top surface toward the bottom surface, a rake angle formed between the rake face and a plane parallel to the bottom surface has a positive angle. The angle formed between the first ridgeline and the second ridgeline is an acute angle. The rake face constitutes a cylindrical surface. The breaker face constitutes a flat surface.

Abstract: A cutting insert according to the present disclosure includes a first surface, a second surface, a side surface, and a cutting edge. The first surface has a rake face continuous to the cutting edge. The cutting edge has a corner cutting edge, a flat cutting edge, and a main cutting edge. The rake face has a first rake face portion, a second rake face portion, and a third rake face portion, the first rake face portion being continuous to the flat cutting edge, the second rake face portion being continuous to the main cutting edge, the third rake face portion being continuous to the corner cutting edge and being located between the first rake face portion and the second rake face portion. The rake face is provided with a level difference portion.

Abstract: A friction member is clamped between a driven shaft of an internal combustion engine and a vane rotor and includes an oil passage hole. The oil passage hole communicates between a first oil passage of the driven shaft a second oil passage of the vane rotor. Each of positioning arrangements includes a primary engaging portion of the vane rotor and a secondary engaging portion of the friction member. The positioning arrangements are configured to limit relative rotation between the vane rotor and the friction member in a communicating state where the first oil passage and the second oil passage are communicated with each other through the oil passage hole.

Abstract: A cutting edge has a corner cutting edge, a flat drag, and a main cutting edge. The rake surface has a first rake surface portion, a second rake surface portion, and a third rake surface portion. The first rake surface portion has a first inclined surface inclined at a first angle. The second rake surface portion has a second inclined surface inclined at a second angle greater than the first angle. The first end portion and the second end portion are higher than the reference surface in a direction perpendicular to the reference surface, and the main cutting edge extends so as to intersect the reference surface when viewed in a direction parallel to the reference surface. A first step portion rising from the third rake surface portion and continuous with the first rake surface portion is provided on the rake surface.

Abstract: The upper surface includes a first breaker projection face extending along the first side surface, a second breaker projection face extending along the second side surface, and a rake face located between the first breaker projection face and the second breaker projection face in top view. In a direction from the rear surface to the front surface, a first front end of the first breaker projection face is located ahead of a second front end of the second breaker projection face. A cutting edge has a first cutting edge portion and a second cutting edge portion. In a direction perpendicular to the reference surface, the second breaker projection face is lower than the first breaker projection face, and a boundary between the first cutting edge portion and the second cutting edge portion is lower than the second breaker projection face.

Abstract: A cutting tool shim is to be disposed between a cutting insert and a holder and to be fixed to the holder. The ridgeline between the flank face and the rake face forms a cutting edge. The cutting edge includes an arc-shaped portion. A coolant supply path for jetting coolant to the arc-shaped portion is provided in the cutting tool shim, the coolant being supplied from the holder. The coolant supply path includes a lead-in port for leading the coolant from the holder to the coolant supply path, and a jetting port for arc-shaped portion for jetting the coolant to the arc-shaped portion. The jetting port for arc-shaped portion has a curved shape along the arc-shaped portion. The distance between the jetting port for arc-shaped portion and the arc-shaped portion is not less than 2.2 mm and not more than 8.1 mm.

Abstract: The cutting edge has: a corner cutting edge; a flat cutting edge continuous to a first end portion of the corner cutting edge; and a main cutting edge continuous to a second end portion of the corner cutting edge opposite to the first end portion of the corner cutting edge. The rake face has: a first rising surface portion; and a first rake face portion continuous to the first rising surface portion and located opposite to the corner cutting edge when viewed from the first rising surface portion. When viewed in a direction perpendicular to the reference surface, the first boundary includes a first line segment extending, from one of the flat cutting edge and the corner cutting edge, in a direction crossing a straight line extending along the main cutting edge.

Abstract: A cutting insert includes a leading cutting edge having a rake angle in the range of 20° to 35° in a central region in a width direction; and a rake face having a breaker groove formed in the central region in the width direction and land portions formed in both end regions in the width direction. The land portions have a rake angle smaller than the rake angle in the central region in the width direction. The breaker groove includes opposing side faces separated from each other by a distance that decreases with increasing distance from the leading cutting edge and four shoulder portions of the same height that are formed on the opposing side faces at positions above the land portions, two of the shoulder portions being closer to the leading cutting edge and to outer sides in the width direction than the other two shoulder portions are.

Abstract: An object of the present invention is to configure a cutting-off processing tool that includes a cutting edge angled at an end cutting edge angle and causes evacuation of chips to be controlled so that the chips are evacuated in the tool axis direction, thereby reducing concerns about damage to a processed surface by the chips. The cutting-off processing tool includes a cutting edge angled at the end cutting edge angle. In the cutting-off processing tool, an upper surface has a shape laterally asymmetric about a center in a width direction. In the cutting-off processing tool, when ?b is a rake angle of a rake face on a first corner side positioned on a foremost end of the tool, and ?c is a rake angle of the rake face on a second corner side, ?b>?c is satisfied.

Abstract: A cutting insert includes a leading cutting edge having a rake angle in the range of 20° to 35° in a central region in a width direction; and a rake face having a breaker groove formed in the central region in the width direction and land portions formed in both end regions in the width direction. The land portions have a rake angle smaller than the rake angle in the central region in the width direction. The breaker groove includes opposing side faces separated from each other by a distance that decreases with increasing distance from the leading cutting edge and four shoulder portions of the same height that are formed on the opposing side faces at positions above the land portions, two of the shoulder portions being closer to the leading cutting edge and to outer sides in the width direction than the other two shoulder portions are.

Abstract: An object of the present invention is to configure a cutting-off processing tool that includes a cutting edge angled at an end cutting edge angle and causes evacuation of chips to be controlled so that the chips are evacuated in the tool axis direction, thereby reducing concerns about damage to a processed surface by the chips. The cutting-off processing tool includes a cutting edge angled at the end cutting edge angle. In the cutting-off processing tool, an upper surface has a shape laterally asymmetric about a center in a width direction. In the cutting-off processing tool, when ?b is a rake angle of a rake face on a first corner side positioned on a foremost end of the tool, and ?c is a rake angle of the rake face on a second corner side, ?b>?c is satisfied.