INTERNAL GEAR PUMP

Abstract

Provided is an internal gear pump. The shape of any one of a plurality of external teeth and a plurality of internal teeth of the pump is formed on the basis of formulae (1)-(5). Formula (1): r=ro−dr.Math.cos θ, Formula (2): Px=(ro−dr)+1/4 dr{1−cos (2θ)}, Formula (3): Py=1/4 dr{−2θ+sin (2θ)}, Formula (4): Qx=Px−r.Math.cos θ, Formula (5): Qy=Py+r.Math.sin θ.

Claims

1. An internal gear pump that accommodates: a ring-shaped internally toothed gear provided with a plurality of internal teeth, and an externally toothed gear provided with a plurality of external teeth which internally mesh with the plurality of internal teeth of the internally toothed gear, the externally toothed gear being eccentrically disposed inside the internally toothed gear, the number of the plurality of internal teeth being one greater than the number of the plurality of external teeth, wherein, in any one of the plurality of external teeth and the plurality of internal teeth, a tooth tip section and a meshing section are formed by a curve having one continuous curvature, the curve being formed by Formulae (1) to (5) below with which a minimum curvature is at an apex of a tooth tip, and the curvature gradually increases towards a tooth bottom.
r=ro−dr.Math.cos θ,   Formula (1):
Px=(ro−dr)+1/4dr{1−cos (2θ)},   Formula (2):
Py=1/4dr{−2θ+sin (2θ)},   Formula (3):
Qx=Px−r.Math.cos θ, and   Formula (4):
Qy=Py+r.Math.sin θ,   Formula (5): where r is a radius of a curve, ro is a reference diameter, dr is a variation, where dr<0, θ is a parameter, Px is an X coordinate of a trajectory center, Py is a Y coordinate of the trajectory center, Qx is an X coordinate of a point on a curve generated by the trajectory center (Px, Py), and Qy is a Y coordinate of the point on the curve generated by the trajectory center (Px, Py).

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0022] FIG. 1 is a cross-sectional view of an internal gear pump according to one embodiment.

[0023] FIG. 2 is a partial enlarged view of the internal gear pump. FIG. 3 is a schematic diagram of a tooth profile according to Formula (1).

[0024] FIG. 4 is a schematic diagram of a tooth profile according to Formulae (2) to (5).

[0025] FIG. 5 is a schematic diagram of an envelope curve L1 created by a curve L that forms a tooth tip section and a meshing section.

EXPLANATION OF REFERENCE NUMERALS

[0026] 1 . . . internally toothed gear, 1A . . . internal tooth, 3 . . . externally toothed gear, 3A . . . external tooth, 7A, 8A . . . tooth tip section, 7B, 8C: meshing section, L . . . curve

MODE FOR CARRYING OUT THE INVENTION

[0027] Hereinafter, an embodiment of the present disclosure will be described with reference to the drawings. [0028] In FIG. 1, a ring-shaped internally toothed gear 1 has twelve internal teeth 1A and is accommodated in a housing 2 so as to be rotatable about a rotation center H.

[0029] An externally toothed gear 3 has eleven external teeth 3A that internally mesh with the twelve internal teeth 1A and is accommodated inside the internally toothed gear 1 so as to be rotatable about a rotation center H1 eccentric to the rotation center H.

[0030] An eccentricity E1 between the internally toothed gear 1 and the externally toothed gear 3 is defined as a dimension (distance) between the rotation center H of the internally toothed gear 1 and the rotation center H1 of the externally toothed gear 3. [0031] A drive shaft 4 rotationally drives the externally toothed gear 3 and engages with the externally toothed gear 3. A suction port 5 for sucking oil is in communication with a sucking space S whose volume can be increased by rotation of the internally toothed gear 1 and the externally toothed gear 3. Two discharge ports 6A and 6B for discharging oil are in communication with a discharge space P whose volume can be reduced by the rotation of the internally toothed gear 1 and the externally toothed gear 3. The two discharge ports 6A and 6B are spaced apart along a rotation direction A of the internally toothed gear 1 and the externally toothed gear 3.

[0032] In FIG. 2, one internal tooth 1A comprises a tooth tip section 7A, a meshing section 7B, a connecting section 7C, and a tooth bottom section 7D, from a tooth tip toward a tooth bottom, from which a right half of one internal tooth 1A (right half from an apex a) is formed.

[0033] A left half from the apex a of the tooth tip is formed symmetrical to the right half with respect to a straight line passing the center H (see FIG. 1) of the internally toothed gear 1 and the apex a. The tooth tip section 7A and the meshing section 7B are formed by a curve L in which a minimum curvature is at the apex a and the curvature gradually increases towards the tooth bottom. Specifically, the shape between the points a and b is formed based on the following Formulae (1) to (5).

r=ro−dr.Math.cos θ,   Formula (1):

Px=(ro−dr)+1/4dr{1−cos (2θ)},   Formula (2):

Py=1/4dr{−2θ+sin (2θ)},   Formula (3):

Qx=Px−r.Math.cos θ, and   Formula (4):

Qy=Py+r.Math.sin θ,   Formula (5): [0034] where [0035] r is a radius of a curve, [0036] ro is a reference diameter, [0037] dr is a variation, where dr<0, [0038] θ is a parameter, [0039] Px is an X coordinate of a trajectory center, [0040] Py is a Y coordinate of the trajectory center, [0041] Qx is an X coordinate of a point on a curve generated by the trajectory center (Px, Py), and [0042] Qy is a Y coordinate of the point on the curve generated by the trajectory center (Px, Py).

[0043] FIG. 3 shows a curve in which a vertical axis represents the radius r of the curve L and a horizontal axis represents the parameter θ. It is also shown that r changes from ro+|dr| to ro as θ changes from 0 to π/2.

[0044] FIG. 4 shows that X, Y coordinates of a trajectory center P having the radius r forming the curve L and X, Y coordinates of a point Q on the curve L generated by the trajectory center P change in accordance with the parameter θ.

[0045] As shown in FIG. 2, the tooth bottom section 7D is formed into an arc shape having a center 7E and a radius R1, and connects points c and d. The arc having the radius R1 is an arc slightly larger than an envelope curve created by a tooth tip section 8A of one externally toothed gear 3A to be described later. The center 7E is located on a line passing the rotation center H (see FIG. 1) of the internally toothed gear 1 and a center of the tooth bottom section 7D (a midpoint of a line segment cd). The connecting section 7C is formed into an arc shape having a center 7F and a radius R3, and connects the points b and d.

[0046] One external tooth 3A comprises the tooth tip section 8A, a meshing section 8B, and a tooth bottom section 8D. The tooth tip section 8A, the meshing section 8B, and the tooth bottom section 8C are formed by an envelope curve L1 created by the curve L forming the tooth tip section 7A and the meshing section 7B of one internal tooth 1A. The envelope curve L1 connects a point A of the tooth tip section 8A and a point B of the tooth bottom section 8C.

[0047] FIG. 5 shows the envelope curve L1 created by the curve L forming the tooth tip section 7A and the meshing section 7B of one internal tooth 1A. The envelope curve L1 forms the tooth tip section 8A, the meshing section 8B, and the tooth bottom section 8C.

[0048] Operation of the internal gear pump of the present disclosure will be described. [0049] When the externally toothed gear 3 is rotationally driven in a rotation direction A by the drive shaft 4, the internally toothed gear 1 that internally meshes with the externally toothed gear 3 is rotationally driven, and oil sucked into the suction space S from the suction port 5 is discharged from the discharge ports 6A and 6B through the discharge space P. Since a minimum clearance between the corresponding (opposed) teeth of the plurality of external teeth 3A and the plurality of internal teeth 1A is configured to be substantially the same over the entire circumference, sealability with the plurality of external teeth 3A and the plurality of internal teeth 1A can be maintained and a leakage from the discharge port 6A to the discharge port 6B or a leakage from the discharge port 6B to the discharge port 6A can be reduced (leakage can be suppressed).

[0050] In one internal tooth 1A, the tooth tip section 7A and the meshing section 7B are formed by the curve L having one continuous curvature, and the curve L is formed such that the minimum curvature is at the apex a of the tooth tip and the curvature gradually increases towards the tooth bottom.

[0051] Therefore, since the envelope curve L1 that is created by the curve L forming the tooth tip section 7A and the meshing section 7B of one internal tooth 1A and that forms the tooth tip section 8A, the meshing section 8B and the tooth bottom section 8C of one external tooth 3A is not a crossed curve between the tooth tip section 8A and the meshing section 8B, the minimum clearance between the corresponding (opposed) teeth of the plurality of external teeth 3A and the plurality of internal teeth 1A can be made substantially the same over the entire circumference.

[0052] Further, since the tooth tip section 7A and the meshing section 7B are formed by a curve having one continuous curvature, and the curve is formed such that the minimum curvature is at the apex a of the tooth tip and the curvature gradually increases towards the tooth bottom, a tooth height can be increased. Therefore, the outer diameter of the internally toothed gear 1 can be further reduced, and the size of the internal gear pump can be reduced.

[0053] In one embodiment, the tooth tip section 7A and the meshing section 7B of one internal tooth 1A is formed by the curve L in which the minimum curvature is at the apex a of the tooth tip and the curvature gradually increases towards the tooth bottom, and the tooth tip section 8A, the meshing section 8B, and the tooth bottom section 8C of the external tooth 3A are formed by the envelope curve L1 generated by the curve L. To the contrary, the tooth tip section and the meshing section of one external tooth 3A may be formed by a curve in which the minimum curvature is at an apex of the tooth tip and a curvature gradually increases towards the tooth bottom, and the tooth tip section, the meshing section, and the tooth bottom section of one internal tooth 1A may be formed by an envelope curve created by the curve that forms the tooth tip section and the meshing section of one external tooth 3A.