Abstract: A foil transfer device, a foil transfer method, and a non-transitory computer readable medium storing a program when executed by a computer causes the computer to execute first, second and third processes. In the first process, an acute angle portion included in a contour of a predetermined shape is specified. In the second process, an approximation curve along a contour of the acute angle portion specified in the first process and is located inside the predetermined shape is obtained. In the third process, movement route data for the acute angle portion is created along the approximation curve obtained in the second process. The movement route data is usable for, for example, control of moving a heater of the foil transfer device.

Abstract: A wobble plate drive system may include a stator having a central axis and a plurality of stator teeth disposed on an inner cylindrical surface. The system may further include a wobble plate having a wobble axis disposed at a non-zero angle relative to the central axis, an outer cylindrical surface, and an upper annular surface. A plurality of wobble teeth may be disposed on the outer cylindrical surface and a plurality of face teeth may be disposed on the upper annular surface. The system may further include an output gear having an output axis substantially aligned with the central axis and a lower annular surface. A plurality of output teeth may be disposed on the lower annular surface. The wobble plate may be configured to rotate, the plurality of wobble teeth may be configured to engage with the plurality of stator teeth, and the plurality of face teeth may be configured to engage with the plurality of output teeth as the wobble plate nutates around the stator.

Abstract: A strain wave gearing includes a rigid internally toothed gear, a flexible externally toothed gear disposed coaxially within the internally toothed gear, and a wave generator fitted within the externally toothed gear. The internally toothed gear and the externally toothed gear are spur gears having module m; and the number of teeth of the externally toothed gear is 2n less than the number of teeth of the internally toothed gear, where n is a positive integer. Taking a transverse cross-section at a prescribed position along a tooth trace direction of the external teeth as a main cross-section, a degree of flexing, with respect to a rim-neutral circle of the externally toothed gear prior to ellipsoidal flexing, of a rim-neutral line of the ellipsoidally flexed externally toothed gear is set, at a position on the major axis in the main cross-section, to 2mn.

Abstract: Methods to automatically recognize bevel features and bevel chains in inner bounding loops and outer bounding loops of walls and bends in sheet metal models or on solid models are disclosed, which may be used for computer aided design, manufacturing, DFX, costing, etc. Recognition methods of various types of bevels and classification of bevels as V-bevel, inverted V-bevel, Y-bevel, inverted Y-bevel, X-bevel, K-bevel, generic bevels and different types of vertex bevels are disclosed. Bevel chain recognition methods that assemble the same type of bevels into bevel chains and identify the bevel chains as tangential bevel chains, non-tangential bevel chains and mixed bevel chains based on the connectivity between the bevels are disclosed. Methods to generate bevel profiles that may be used for feature recreation, feature suppression, or tool path generation for cutting features for manufacturing are disclosed.

Abstract: Hemispherical protrusions are protrudingly provided in end surfaces of a rotor gear and a tooth portion of a small gear having the smaller number of gear teeth between the rotor gear and a large gear of an intermediate gear, and between the small gear of the intermediate gear and an output gear, which are meshed with each other in a transmission gear train. Thus, in a case where the large gear rides on the rotor gear or the small gear rides on the output gear when the intermediate gear is accommodated in a housing after the rotor gear and the output gear are accommodated, it is possible to cancel the riding state thereof only by applying a slight vibration to the housing.

Abstract: A gear of a gear device includes a plurality of teeth having tooth surfaces. The tooth surfaces are shaped such that contact length ratios of three or more of the teeth are outside a predetermined range centered on an average value of the contact length ratios of all of the teeth, where the contact length ratio is obtained by dividing a contact length of a tooth contact face by a diagonal length of a plane of action.

Abstract: A drive wheel for a belt tensioner is adapted to be coupled to a belt reel and includes an external tooth system including plural teeth distributed along the circumference. The teeth are inclined in a first circumferential direction and/or the teeth have at least one end face facing away from the central axis of the drive wheel and being inclined in a first circumferential direction and/or the clearances between neighboring teeth are not symmetrical with respect to planes defined by radial and axial directions. The teeth have no symmetry with respect to planes extending tangentially relative to the circumferential direction.

Abstract: A gear includes teeth 3 to be engaged with teeth of a corresponding gear to transmit a rotational motion, in which a form (b) of a tooth root side of each tooth 3 includes: a first curved surface c which smoothly connects with a tooth surface a having an involute curve and has a profile represented by a curve which is convex in a direction opposite to the involute curve of the tooth surface a; and a second curved surface d which smoothly connects with the first curved surface c and has a profile defined by a quadratic function having a curve being convex in the same direction as that of the first curved surface c. Therefore, a stress generated on the tooth root side at the time of engagement with the teeth of the corresponding gear can be reduced, and the strength of the teeth can be increased.

Abstract: A disc recliner for a seat assembly includes a fixed plate secured to a seat cushion and a rotatable plate secured to a seat back. Each of the fixed and rotatable plates has a plurality of teeth, the number of teeth not being equal. A flex spline has a plurality of teeth, the number of teeth being equal to the number of teeth on the fixed plate. A wave generator causes a portion of the teeth on the flex spline to meshingly engage with the teeth on the fixed and rotatable plates. Rotation of the wave generator causes the teeth on the flex spline which meshingly engage with the teeth on the fixed and rotatable plates to change, thereby causing the rotatable plate to rotate relative to the fixed plate, which in turn causes the seat back to pivot relative to the seat cushion.

Abstract: In the strain wave gearing, an involute positive deflection tooth profile of a low pressure angle of less than 20° is used as the basic tooth profile for the rigid internal spur gear and the flexible external spur gear in order to increase the effective tooth depth. Continuous meshing of the two gears in the tooth trace direction is made possible by shifting the external teeth so that the linear parts of the rack tooth profiles coincide when viewed along the tooth trace direction. The root rim thickness of the front end of the external teeth of the flexible external spur gear is set to an optimal thickness and the root rim thicknesses at various positions other than the front end of the external teeth in the tooth trace direction are set to appropriate values.

Abstract: For machining a concave-convex gear in which concave teeth of the concave-convex gear and convex teeth of a mating gear are formed in a circumferential direction, to allow torque transmission to or from the mating gear, in a trajectory extracting step a relative movement trajectory of each convex tooth of the mating gear with respect to the concave-convex gear at the time when torque is transmitted is first extracted as a machining target. Then, in a machining step, the concave teeth of the concave-convex gear are machined on a disc-shaped workpiece by moving at least one of the disc-shaped workpiece and a working tool such that a relative movement trajectory of the working tool with respect to the disc-shaped workpiece coincides with the relative movement trajectory of each convex tooth of the mating gear with respect to the concave-convex gear extracted in the trajectory extracting step.

Abstract: The engine starting device includes a pinion unit which is spline-coupled to an output shaft side of a starter motor to slide in an axial direction, the pinion unit including a one-way clutch which spins for rotation in the same direction as that of rotation of the engine, and a pushing mechanism for moving the pinion unit to a position in which the pinion unit comes into meshing engagement with a ring gear. A pinion gear of the pinion unit is movable in the axial direction as a single body, and includes a chamfered portion having a curved surface along a tooth surface on a non-torque transmitting surface side and a large length in the axial direction, the chamfered portion being provided to a ring-gear side distal end portion of the tooth surface on the non-torque transmitting surface side.

Abstract: A fitting (10), in particular for a motor vehicle seat, includes a first fitting part (11), on which a ring gear (17) is formed, a second fitting part (12), on which a gear (16) is formed, which meshes with the ring gear (17), whereby the two fitting parts (11, 12) are in a transmission connection with each other, and a rotatably mounted, revolving eccentric for driving a relative rolling motion of the gear (16) and the ring gear (17). The eccentric is driven by a carrier, wherein during said rolling motion, a tooth flank (16d) of a tooth (16a) of the gear (16) contacts a tooth flank (17d) of a tooth (17a) of the ring gear (17) at a pitch point (W). The radius of curvature (K1) of the tooth flank (16d) of the tooth (16a) of the gear (16) at the pitch point (W) and the radius of curvature (K2) of the tooth flank (17d) of the tooth (17a); of the ring gear (17) at the pitch point (W) are at least approximately equal.

Abstract: A fishing reel employs a driving mechanism having a cooperative pinion gear and a face gear. The face gear has a tooth form with a cross-section wherein the cross-section of the inner pitch portion is less than the cross-section of an outer pitch portion. The pinion gear effectively engages the inner pitch portion less than an outer pitch portion to provide a more uniform distribution of torque and to improve the wearing rate of the gear mechanism.

Abstract: In a machining tool, multiple tooth forming portions for plastically forming spline teeth on an axial end face of a vehicle hub unit, the axial end face facing inward in the vehicle lateral direction, are formed in a circular pattern about the central axis of the machining tool. In the machining tool, a rounded-portion forming portion is formed to form a rounded portion between a tooth flank and a top land of each spline tooth, and the radius of the rounded-portion forming portion gradually changes in the radial direction about the central axis.

Abstract: A pressure angle of the worm is set to be greater than a pressure angle of the worm wheel so that a maximum number of meshing teeth becomes smaller than or equal to n (where n is a natural number) with respect to the speed reduction mechanism in which a number of meshing teeth is always n+1 or changed between n+1 and n by rotation under a condition in which the pressure angles of the worm and the worm wheel are the same with respect to each other.

Abstract: A transmission gear has a tooth surface formed of a free-form surface instead of an involute surface and a root area formed of a free-form surface instead of a trochoid surface. With such a transmission gear, the fatigue strength against contact pressure can be increased by reducing the Hertzian stress in the area around the meshing point of the tooth surface. The tooth surface is formed of a free-form surface in which the smallest radius of curvature in an area around a mating pitch point is maximized, and the fatigue strength against bending can be increased by reducing the bending stress at a tooth root portion of the bottom land. In addition, the gear noise can be reduced. The bottom land is formed of a free-form surface in which the smallest radius of curvature in an area around a tooth root is maximized.

Abstract: A gear includes a gear root defined by a stretched root blended into an involute tooth profile curve within a True Involute Form diameter.

Abstract: A half of a tooth right-angled cross-sectional shape in a tooth bottom side area of a tooth divided at a tooth bottom center is defined by a first involute portion extending from the tooth bottom center P0 toward a tooth surface, an arcuate portion connected smoothly to the first involute portion, a second involute portion connected smoothly to the arcuate portion, a third involute portion connected smoothly to the second involute portion, and a tooth surface connecting curved portion connecting the third involute portion and the tooth surface smoothly. Radii of curvature of the arcuate portion and the first, second and third involute portions are determined so that a stress variation width in a stress state of a so-called partly reverse state caused by tensile stress and compression stress generated in the tooth bottom side area of the tooth before and after the meshing of the tooth can be uniformized.

Abstract: A double involute pinion-face gear drive provides transmission of torque and speed, or direction of movement modification between non-intersecting shafts at right angles to one another. A double involute cylindrical pinion on one axis, engages a rotatable disk-shaped gear on the second axis. The teeth of the pinion are curved in an abridged, normal or extended involute shape. Likewise, the teeth of the face gear are curved in abridged, normal or extended involute shape in the lengthwise direction of the teeth. These gear drives can be simultaneously bi-rotational and bi-directional and allow a relatively wide range of speed ratios, as low as 1:1 and as high as 7.5:1.

Abstract: A rack and pinion arrangement includes rack and pinion rods having a carrier bar, a guide bar and inner rack and pinion teeth for interaction with a driving sprocket. An end tooth at both ends of the each rack and pinion rod has a change in radius of curvature, and the tooth profile of the inner rack and pinion teeth has a change in radius of curvature. The change in radius of curvature of the end teeth is lower than the change in radius of the inner rack and pinion teeth. The end tooth head of the end teeth is lower than the tooth heads of the inner rack and pinion teeth. The end tooth in the region of the change in radius of curvature has a greater tooth width than the inner rack and pinion teeth in the region of the change in radius of curvature.

Abstract: An oilfield pumping unit two-stage transmission gear reducer includes a low speed stage having a low speed shaft configured to receive motion from an intermediate shaft. A first gear pair includes a low speed shaft double circular arc gear mounted on the low speed shaft and configured to be driven by an intermediate shaft double circular arc gear mounted on the intermediate shaft. A high speed stage includes a high speed shaft configured to receive motion from an intermediate shaft. A second gear pair has a high speed shaft involute gear mounted on the high-speed shaft and configured to be driving an intermediate shaft involute gear mounted on the intermediate shaft.

Abstract: An oilfield pumping unit two-stage transmission gear reducer includes a low speed stage having a low speed shaft configured to receive motion from an intermediate shaft. A first gear pair includes a low speed shaft double circular arc gear mounted on the low speed shaft and configured to be driven by an intermediate shaft double circular arc gear mounted on the intermediate shaft. A high speed stage includes a high speed shaft configured to receive motion from an intermediate shaft. A second gear pair has a high speed shaft involute gear mounted on the high-speed shaft and configured to be driving an intermediate shaft involute gear mounted on the intermediate shaft.

Abstract: A functional portion of an edge of each tooth of the toothed wheel has a profile which complies with the parametric double formula (in Cartesian coordinates): x ? ( u ) = R 1 ? [ cos ? ( 1 ? ? ln ? ( 1 - ? ? ? u ) ) - u ? ? sin ? ( 1 ? ? ln ? ( 1 - ? ? ? u ) ) ] y ? ( u ) = R 1 ? [ sin ? ( 1 ? ? ln ? ( 1 - ? ? ? u ) ) + u ? ? cos ? ( 1 ? ? ln ? ( 1 - ? ? ? u ) ) ] where R1=d1 cos(??a tan ?), ? and d1 being parameters, where ? is a parameter which corresponds to the coefficient of friction at the contact between said edge and an edge of a tooth of another wheel, ? being able to take values between 0.05 and 0.5, and where u is a variable which varies in the interval (0, 1/?) such that by varying u, the profile is passed through.

Abstract: A space curve mesh driving pair and a polyhedral space curve mesh transmission are disclosed. Said space curve mesh driving pair consists of a driving wheel and a driven wheel. Axes of the driving wheel and the driven wheel are intersected at an angle of 0°˜180°, and power transmission is realized by continuous mesh between the driving tines and the driven tines; a number of driving tines are provided on said driving wheel, and a number of driven tines are provided on the driven wheel; the driving tines are uniformly arranged on an end face of a cylinder of the driving wheel, and the driven tines are uniformly arranged on the circumference of a cylindrical surface of the driven wheel. Said polyhedral space curve mesh transmission consists of an above-mentioned space curve mesh driving pair. Motion is input from an input end, and is passed through a number of pace curve mesh driving pairs to realize the speed change, then is output from one or more output ends.

Abstract: An eccentrically cycloidal gear engagement of tooth profiles having curvilinear teeth is disclosed. One of the engaging profiles represents a gearwheel with at least two helical teeth. The flanks of each tooth of the first tooth profile are outlined, in a principal cross-section of the gearwheel, by corresponding arcs of circular curves, eccentrically shifted from a center of rotation of the gearwheel. The second tooth profile, which is conjugated with the first tooth profile, has helical cycloidal teeth. The teeth of the second tooth profile are outlined, in the same cross-section, by segments of front edges of intersecting cycloidal curves. Tips and troughs between teeth can have any shape, not intersecting with the gearwheel teeth.

Abstract: A method for establishing the gearing geometries of a gear pairing of two gears with intersection axes comprises the following steps: predetermining a first gearing geometry of a virtual first gear; calculating the geometry of the gearing of a virtual second gear, this geometry resulting during conjugated creation from a roll-off process of a tooth (1) of the predetermined geometry of the virtual first gear, whereby the roll-off process of the tooth (1) of the virtual first gear, this roll-off process underlying the calculation, is ended in the symmetrical position thereof in the tooth gap (3) of the second virtual tooth; calculating the tooth face geometry of the teeth of the first gear, this tooth face geometry resulting during the reverse conjugated creation, while underlying a full roll-off process of a tooth of the virtual second gear with the first; establishing the final geometry of the gearing of the first gear according to the tooth face geometry of the gearing of the first gear, this tooth face geom

Abstract: A drive unit that is movable between an unfired and a fired position. The drive unit comprises a handle member, a first drive gear having a first axis of rotation, and a second drive gear, engaged to the first drive gear at a mesh point, and having a second axis of rotation. The mesh point moves with respect to the axes of rotation as the handle member moves from the unfired position to the fired position. The drive unit drives an implement only when it is moved from the unfired position to the fired position.

Abstract: A rack-and-pinion steering apparatus comprises pinion teeth formed according to proper tooth specifications in other aspects under a larger pressure angle, thereby stably offering smooth and comfortable steering feeling over a long time. The module (m), number of teeth (z), tooth depth (h) and helix angle (?) of the pinion teeth (4) are set within the following ranges, under a pressure angle (?) set within a range of 24° to 30° and a given stroke ratio. module (m): 1.8 to 2.0 number of teeth (z): 7 to 13 tooth depth (h): 2 m to 2.

Abstract: In a wave gear device (1), radial deflection of a flexible external gear (3) is set at 2?mn (?>1) which is larger than a normal deflection of 2nm (?=1), and the tooth depth of both gears (2, 3) is set larger than a standard tooth depth (in case of ?=1). Meshing movement locus of both gears (2, 3) is approximated by a rack in case of ?>1, and using similarity-transformation curves (AC, AD) obtained by similarly enlarging a curve (AB) on the unmeshing side at the post-stage of meshing from the vertex (deepest meshing position)(A) of the movement locus (M), the dedendum tooth profile portion (21) of a rigid internal gear (2) and the addendum tooth profile portion (31) of the flexible external gear (3) are defined and then both gears (2, 3) are brought into continuous contact.

Abstract: A gear pump rotor is provided including a combination of an inner rotor and an outer rotor whose numbers of teeth are different by one, and the discharge amount of the pump is increased by an increase of the tooth depth. At least one of an addendum curve and a dedendum curve of an inner rotor is formed by a locus of one point on formation circles that satisfy moving conditions that the formation circles move from moving start points to moving end points while changing the distances from an inner rotor center to the centers of the formation circles. The centers of the formation circles move by a distance in the radial direction of a base circle, and the formation circles rotate by an angle at a constant angular velocity in the same directions of the moving directions of the formation circles.

Abstract: A gear and drive system utilizing the gear include teeth. Each of the teeth has a first side and a second side opposite the first side that extends from a body of the gear. For each tooth of the gear, a first extended portion is attached to the first side of the tooth to divert flow of fluid adjacent to the body of the gear to reduce windage losses that occur when the gear rotates. The gear may be utilized in drive systems that may have high rotational speeds, such as speeds where the tip velocities are greater than or equal to about 68 m/s. Some embodiments of the gear may also utilize teeth that also have second extended portions attached to the second sides of the teeth to divert flow of fluid adjacent to the body of the gear to reduce windage losses that occur when the gear rotates.

Abstract: A rotational-to-linear conversion mechanism inhibits interference from occurring in places except for an engagement site to increase the efficiency of conversion mechanism and reliability, which has: a rack rod 1 including thread on its outer peripheral face; a holder member 3 provided on the outer periphery of the rack rod, rotating about the rack rod and moving in the axis direction; and revolving rollers 21 rotatably supported in the holder member, each having ring-shaped grooves formed in its outer peripheral face to be engaged with the thread, and placed at an axis angle with respect to a center axis of the rack rod to allow the ring-shaped grooves to be engaged with the thread on the rack rod. A contact face of the thread with each ring-shaped groove in an engagement site of the thread and the ring-shaped groove is formed as a convex face having different curvatures in a radial direction.

Abstract: An improved geared hydraulic apparatus, comprising a pair of meshing gearwheels, mounted to be reciprocally rotatable in a casing between an inlet side and an outlet side for a fluid having, in use, a substantially transverse flow with respect to the axes of rotation of the gearwheels. The meshing gearwheels create, during their reciprocal rotation, progressive meshing configurations between respective co-operating teeth. In at least one of said progressive meshing configurations is defined, in at least one cross-section of the gearwheels, at least one closed area between respective fluid entrapment teeth. The closed area decreases until it is substantially cancelled out at and around at least one other, separate progressive meshing configuration between the aforesaid respective co-operating teeth.

Abstract: A gear having a tooth form shape including, on a tooth root side of a tooth, a first curved surface connected to a tooth face of an involute tooth form and convex in a direction opposite to the tooth face, a flat surface connected to the first curved surface, and a second curved surface connected to the flat surface and convex in the same direction as the first curved surface. In a normal plane, the shape of the flat surface is a tangent in contact with a tip side end of a trajectory of motion of a tooth of a meshing partner gear and intersecting with a tooth form center line at a 30° angle, the shape of the first curved surface is circular arcs in contact with the tangent, and, the shape of the second curved surface is circular arcs in contact with the tooth face and the tangent.

Abstract: An easily structured swing internal contact type planetary gear device is proposed which can achieve a higher meshing ratio when an involute tooth profile is adapted. Each of an internal tooth of an internally toothed gear wheel and an external tooth of an externally toothed gear wheel is formed with an involute tooth profile. Under a driving condition, one of an internal tooth body of the internally toothed gear wheel and an external tooth body of the externally toothed gear wheel is elastically deformed in an extending direction and the other thereof is elastically deformed in a contracting direction so that the number of meshing teeth becomes larger than the number of meshing teeth under a non-driving condition.

Abstract: A pump rotor is an inner rotor of an internal gear pump, the inner rotor having a tooth profile, wherein a half-tooth portion of the tooth profile is formed of three tooth-profile formation circles that are elliptical or true-circular. Two of the tooth-profile formation circles are a combination of a small tooth-profile formation circle and a large tooth-profile formation circle in which the small tooth-profile formation circle is inscribed and is entirely included. A portion of the small tooth-profile formation circle forms an addendum portion of the half-tooth portion. A portion of the large tooth-profile formation circle in which the small tooth-profile formation circle is inscribed and is entirely included forms an engagement portion of the half-tooth portion. A portion of another tooth-profile formation circle that circumscribes the large tooth-profile formation circle forms a dedendum portion of the half-tooth portion.

Abstract: The invention relates to the gearing of a gearwheel having a plurality of teeth. The gearwheel has a useful area and a base area of the particular tooth flank form. Viewed in normal section, the tooth base area extends from a base circle up to a useful circle. The tooth flanks of adjacent teeth in normal section are each implemented as symmetrical to one another, the axis of symmetry intersecting the base circle in the base point. According to the invention, the tooth flanks are implemented in the tooth base area as a tangent function from a relevant diameter. The tangent function merges at the relevant diameter in a constant tangent into the tooth flank form of the useful area. The tangent function merges in the tooth base area in a constant tangent into an orbit, which is tangentially applied in the base point to the base circle. Significant increases of the tooth base strength may thus be achieved.

Abstract: A transmission gear has a tooth surface formed of a free-form surface instead of an involute surface and a root area formed of a free-form surface instead of a trochoid surface. With such a transmission gear, the fatigue strength against contact pressure can be increased by reducing the Hertzian stress in the area around the meshing point of the tooth surface. The tooth surface is formed of a free-form surface in which the smallest radius of curvature in an area around a mating pitch point is maximized, and the fatigue strength against bending can be increased by reducing the bending stress at a tooth root portion of the bottom land. In addition, the gear noise can be reduced. The bottom land is formed of a free-form surface in which the smallest radius of curvature in an area around a tooth root is maximized.

Abstract: An idler gear assembly for a generator includes a first gear configured for coupling to a second gear. The first gear includes a first shaft aligned along a first shaft axis, the first shaft having a first shoulder with a first axial face and a second shoulder with a second axial face diametrically opposed from the first axial face, diametrically opposed first and second grooves about a circumference of the first shoulder and a first set of teeth circumferentially located about the first shaft axis, the first shaft includes a first axial distance from the first axial face to the second axial face. The second gear includes a second shaft aligned along a second shaft axis, the second shaft having a diametrically opposed first and second tangs, and a second set of teeth circumferentially located about the second shaft axis, the second shaft includes a second axial distance.

Abstract: A gear having a tooth form shape includes, on a tooth root side of a tooth, (1) a first curved surface connected to a tooth face of an involute tooth form and convex in a direction opposite to the tooth face, (2) a flat surface connected to the first curved surface, and (3) a second curved surface connected to the flat surface and convex in the same direction as the first curved surface. The shape of the flat surface in a normal plane is a tangent in contact with a tip side end of a trajectory of motion B of a tooth of a meshing partner gear and intersecting with a tooth form center line at a 30° angle. The shapes of the first and the second curved surfaces in a normal plane are circular arcs.

Abstract: A bending state known as “coning,” in which the amount of bending of the flexspline gradually decreases in accordance with the distance from the open end of the spline, occurs in cup-type or “silk hat”-type wave gear devices. A tooth profile in which the tooth depth is kept constant and in which the bottom lands and top lands are parallel to each other along the tooth trace direction is used as the basic tooth profile for the circular spline and the flexspline of the wave gear device. A taper surface is formed on a part of the top land near the open end of the flexspline in the basic tooth profile, whereby a modified tooth profile is obtained. The modified tooth profile is employed as the tooth profile for both of the splines. Both of the splines can be caused to mesh together without generating coning-induced interference. Both of the splines can also be subjected to gear cutting by a simple process using a typical machining mechanism.

Abstract: A method of designing a gear in which a tooth trace of the tooth flank, which is to be engaged with another mating tooth flank, is curved with respect to an axial direction of the body of the gear. The mating tooth flank of the mating gear is designed in such a manner that a desired tooth contact can be achieved. Accordingly, sufficient design precision can be attained. Furthermore, stress at the tooth flanks can be controlled when the gears are engaged with each other, thereby leading to high durability of the gears.

Abstract: An external gear pump which has a certain flow rate or volumetric capacity at a given speed can be taken apart and the parts rearranged and assembled into a second pump operating at the same speed with a flow rate or volumetric capacity that is different from the original pump. No new parts are required for the second pump configuration and all original parts are used. With this structure, pumps with different flow rates can be built using fewer parts than conventional designs.

Abstract: A gear pair includes a small-diameter conical involute gear having a conical angle, and a large-diameter conical involute gear having a conical angle. The small-diameter conical involute gear and the large-diameter conical involute gear are constituted by an aggregate of imaginary cylindrical gears.

Abstract: A power transmission device is provided with: a first gear having a plurality of teeth that share an identical tooth profile; an intermediate gear that is engaged with the first gear; and a second gear that is engaged with the intermediate gear, and has a plurality of teeth that share an identical tooth profile, wherein the first gear and the second gear have an identical number of teeth, an identical reference diameter, and an identical reference pitch; and the tooth profile of the first gear is different from that of the second gear.

Abstract: In a gear (G1) according to the present invention, which is provided with a plurality of teeth (1) to be mated with teeth of a mating gear to thereby transmit a rotational motion, a predetermined region (A) in at least one tooth flank (7) of each tooth (1) is formed in a configuration such that, from at least one place in a tooth width direction on a crossing (8) of the tooth flank (7) and a tooth tip surface (3), the mating with the teeth of the mating gear is started with the point contact or the line contact shorter than the total tooth width, and thereafter, is gradually shifted to the line contact so that the length of contact line (10) thereof is sequentially increased as the line contact moves from a tooth tip surface (3) side toward a tooth root side.

Abstract: A functional portion of an edge of each tooth of the toothed wheel has a profile which complies with the parametric double formula (in Cartesian coordinates): x ? ( u ) = R 1 ? [ cos ? ( 1 ? ? ln ? ( 1 - ? ? ? u ) ) - u ? ? sin ? ( 1 ? ? ln ? ( 1 - ? ? ? u ) ) ] y ? ( u ) = R 1 ? [ sin ? ( 1 ? ? ln ? ( 1 - ? ? ? u ) ) + u ? ? cos ? ( 1 ? ? ln ? ( 1 - ? ? ? u ) ) ] where R1=d1 cos(??atan ?), ? and d1 being parameters, where ? is a parameter which corresponds to the coefficient of friction at the contact between said edge and an edge of a tooth of another wheel, ? being able to take values between 0.05 and 0.5, and where u is a variable which varies in the interval (0, 1/?) such that by varying u, the profile is passed through.

Abstract: A pump gear includes a pump gear body having involute teeth that each have an involute surface that extends between a tooth tip and a tooth base. The involute surface includes at least reference points A-D, with reference point A near the base, reference point D near the tip, reference point B between reference points A and D, and reference point C between reference points B and D. The reference points A-D have associated respective roll angles, ?A-D, between a corresponding first line that is perpendicular to the involute surface at the given reference point A-D, and a second line that is tangent at a reference point that lies on a terminal end of the involute surface at the tooth base to a reference base circle having a center origin at the center axis.

Abstract: A gear for driving a linear member comprising a tooth tip, a tooth base, a contact face disposed between the tooth tip and the tooth base, the contact face having the shape, X=L sin(???) and Y=L cos(???), where tan(?)=(B/2+2??/360) /R, L=(R{circumflex over (0)}2+(B/2+2??/360/R){circumflex over (0)}2){circumflex over (0)}0.5, B=width of tooth base, R=pitch radius, ?=relative angle of gear tooth to contacting member, a linear member comprising a plurality of holes, and the contact face engagable with the linear member through a hole.