TWI455782B - Variable surface rack cutter, spherical gears and manufacturing method thereof - Google Patents

Variable surface rack cutter, spherical gears and manufacturing method thereof Download PDF

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Publication number
TWI455782B
TWI455782B TW100143820A TW100143820A TWI455782B TW I455782 B TWI455782 B TW I455782B TW 100143820 A TW100143820 A TW 100143820A TW 100143820 A TW100143820 A TW 100143820A TW I455782 B TWI455782 B TW I455782B
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tooth
concave
convex
gear
profile
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TW100143820A
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Chinese (zh)
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TW201321105A (en
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Hsueh Cheng Yang
Chia Hung Lai
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Univ Nat Changhua Education
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一種可變間距齒面刀具,係適用於加工球面齒輪,其包含:一凸形可變間距齒面刀具具有複數個凸形刀齒,該複數個凸形刀齒分別以相等間距值沿X軸方向及以不等間距值沿Y軸方向排列;以及一凹形可變間距齒面刀具具有複數個凹形刀齒,該複數個凹形刀齒分別以相等間距值沿X軸方向及以不等間距值沿Y軸方向排列;其中,各該凹形刀齒更包含一凹形刀齒齒頂、一凹形刀齒直線齒廓以及一凹形刀齒齒根,該凹形刀齒直線齒廓連接於該凹形刀齒齒頂與該凹形刀齒齒根之間,且該凹形刀齒齒頂係為平面狀,其中該凹形刀齒直線齒廓為一圓錐體所構成之凹形刀齒,且該凹形刀齒直線齒廓與該凹形刀齒齒頂以及該凹形刀齒齒根之接合處係分別為一第一圓弧,該第一圓弧係為半徑0.3模數之圓弧。 A variable pitch tooth surface cutter suitable for machining a spherical gear, comprising: a convex variable pitch tooth surface cutter having a plurality of convex cutter teeth, the plurality of convex cutter teeth respectively having an equal pitch value along the X axis The direction and the unequal spacing values are arranged along the Y-axis direction; and the concave variable-pitch tooth surface cutter has a plurality of concave cutter teeth, the plurality of concave cutter teeth respectively having the same pitch value along the X-axis direction and The equidistant values are arranged along the Y-axis direction; wherein each of the concave teeth further comprises a concave blade tooth tip, a concave blade tooth tooth profile and a concave blade tooth root, the concave blade tooth line a tooth profile is connected between the concave tooth tip and the concave tooth root, and the concave tooth tip is planar, wherein the concave tooth profile is a cone a concave tooth, and the concave tooth tooth linear tooth profile and the concave blade tooth tooth tip and the concave tooth tooth root joint are respectively a first arc, and the first arc is An arc with a radius of 0.3 modulus. 如申請專利範圍第1項所述之可變間距齒面刀具,其中各該凸形刀齒以及各該凹形刀齒係分別沿一第一軸向與一第二軸向以陣列方式排列,形成可變間距齒面刀具;其中,其該第一軸向陣列之各齒間距為定值,該第二軸向陣列之各齒間距隨該第一軸向陣列之各齒間距進行調整。 The variable pitch tooth surface cutter of claim 1, wherein each of the convex cutter teeth and each of the concave cutter teeth are arranged in an array along a first axial direction and a second axial direction, respectively. Forming a variable pitch tooth surface cutter; wherein each of the tooth pitches of the first axial array is constant, and the tooth pitch of the second axial array is adjusted according to the pitch of the teeth of the first axial array. 如申請專利範圍第1項所述之可變間距齒面刀具,其中各該凸形刀齒更包含一凸形刀齒齒頂、一凸形刀齒直線齒廓以及一凸形刀齒齒根,該第一凸形刀齒直線齒廓連接於該凸形刀齒齒頂與該凸形刀齒齒根之間,且該凸形刀齒齒頂係為平面狀。 The variable pitch tooth surface cutter of claim 1, wherein each of the convex teeth further comprises a convex blade tooth tip, a convex blade tooth tooth profile and a convex blade tooth root. The first convex tooth linear tooth profile is connected between the convex blade tooth tip and the convex blade tooth root, and the convex blade tooth top is planar. 如申請專利範圍第3項所述之可變間距齒面刀具,其中該凸形刀齒直線齒廓為一圓錐體所構成之凸形刀齒,且該凸形刀齒直線齒廓與該凸形刀齒齒頂以及該凸形刀齒齒根之接合處係分別為一第二圓弧,該第二圓弧係為半徑0.3模數之圓弧。 The variable pitch tooth surface cutter according to claim 3, wherein the convex tooth tooth linear tooth profile is a convex tooth formed by a cone, and the convex tooth tooth linear tooth profile and the convex tooth are formed. The joint of the toothed tooth tip and the convex tooth root is respectively a second arc, and the second arc is an arc of a radius of 0.3 modulus. 一種球面齒輪,由一可變間距齒面刀具加工而成,該球面齒輪包含:一凹形球面齒輪,係由如申請專利範圍第1項所述之凸形可變間距齒面刀具加工而成,該凹形球面齒輪具有數個凹形輪齒;以及一凸形球面齒輪,係由如申請專利範圍第1項所述之凹形可變間距齒面刀具加工而成,該凸形球面齒輪具有數個凸形輪齒;其中,各該凹形輪齒更包含一凹形輪齒齒頂、一凹形輪齒漸開線齒廓以及一凹形輪齒齒根,該凹形輪齒漸開線齒廓連接於該凹形輪齒齒頂與該凹形輪齒齒根之間,且該凹形輪齒齒頂係為弧面,且該凹形輪齒漸開線齒廓為由漸開線齒廓沿其中心軸旋轉所構成之圓錐體,且該凹形輪齒漸開線齒廓與該凹形輪齒齒頂以及該凹形輪齒齒根之接合處係分別為一第一圓弧,該第一圓弧係為半徑0.3模數之圓弧。 A spherical gear machine formed by a variable pitch tooth surface cutter comprising: a concave spherical gear, which is processed by a convex variable pitch tooth surface cutter according to claim 1 of the patent application scope The concave spherical gear has a plurality of concave gear teeth; and a convex spherical gear is processed by the concave variable pitch tooth surface cutter according to claim 1 of the patent application, the convex spherical gear Having a plurality of convex gear teeth; wherein each of the concave gear teeth further comprises a concave gear tooth tip, a concave gear tooth involute tooth profile, and a concave gear tooth root, the concave gear tooth An involute tooth profile is connected between the concave gear tooth tip and the concave gear tooth root, and the concave gear tooth top is a curved surface, and the concave tooth tooth involute tooth profile is a cone formed by rotating the involute profile along its central axis, and the joint of the concave involute tooth profile and the concave gear tooth tip and the concave gear tooth root are respectively A first arc is a circular arc having a radius of 0.3 modulus. 如申請專利範圍第5項所述之球面齒輪,其中各該凸形輪齒以及各該凹形輪齒係分別以離散方式排列於球面上。 The spherical gear according to claim 5, wherein each of the convex teeth and each of the concave gear teeth are respectively arranged on the spherical surface in a discrete manner. 如申請專利範圍第5項所述之球面齒輪,其中各該凸形輪齒更包含一凸形輪齒齒頂、一凸形輪齒漸開線齒廓以及一凸形輪齒齒根,該凸形輪齒漸開線齒廓連接於該凸形輪齒齒頂與該凸形輪齒齒根之間,且該凸形輪齒齒頂係為弧面。 The spherical gear according to claim 5, wherein each of the convex teeth further comprises a convex tooth tooth tip, a convex tooth tooth involute tooth profile and a convex tooth tooth root, The convex tooth involute tooth profile is connected between the convex tooth tooth tip and the convex tooth tooth root, and the convex tooth tooth top is a curved surface. 如申請專利範圍第7項所述之球面齒輪,其中該凸形輪齒漸開線齒廓為由漸開線齒廓沿其中心軸旋轉所構成之圓錐體,且該凸形 輪齒漸開線齒廓與該凸形輪齒齒頂以及該凸形輪齒齒根之接合處係分別為一第二圓弧,該第二圓弧係為一半徑0.3模數之圓弧。 The spherical gear according to claim 7, wherein the convex tooth involute profile is a cone formed by the involute profile rotating along a central axis thereof, and the convex shape The tooth involute tooth profile and the convex tooth tooth tip and the convex tooth tooth root joint are respectively a second arc, and the second arc is a circular arc with a radius of 0.3 modulus. . 一種球面齒輪之製成方法,該球面齒輪包含一凹形輪齒球面齒輪以及一凸形輪齒球面齒輪,該球面齒輪之製成方法包括下列步驟:以如申請專利範圍第1項所述之凸形可變間距齒面刀具加工該凹形輪齒球面齒輪,使該凹形輪齒球面齒輪具有數個凹形輪齒;以如申請專利範圍第1項所述之凹形可變間距齒面刀具加工該凸形輪齒球面齒輪,使該凸形輪齒球面齒輪具有數個凸形輪齒;以一凸形輪齒齒頂、一凸形輪齒漸開線齒廓以及一凸形輪齒齒根形成各該凸形輪齒;以弧面形成該第凸形輪齒齒根;以漸開線齒廓沿其中心軸旋轉所構成之圓錐體,形成該凸形輪齒漸開線齒廓;以半徑0.3模數之圓弧修飾該凸形輪齒漸開線齒廓與該凸形輪齒齒根之接合處;以及以半徑0.3模數之圓弧修飾該凸形輪齒漸開線齒廓與該凸形輪齒齒頂之接合處。 A method for manufacturing a spherical gear, the spherical gear comprising a concave tooth spherical gear and a convex tooth spherical gear, the method for manufacturing the spherical gear comprising the following steps, as described in claim 1 a concave variable pitch tooth surface cutter for machining the concave tooth spherical gear such that the concave tooth spherical gear has a plurality of concave gear teeth; and the concave variable pitch tooth according to claim 1 The convex cutter machine machine the convex tooth spherical gear such that the convex tooth spherical gear has a plurality of convex teeth; a convex tooth tooth tip, a convex tooth tooth involute tooth profile and a convex shape The root of the tooth forms each of the convex teeth; the root of the convex tooth is formed by a curved surface; and the cone formed by rotating the involute profile along the central axis thereof forms the convex tooth involute a tooth profile; the arc of the involute tooth profile of the male tooth and the tooth root of the convex tooth is modified by a circular arc having a radius of 0.3 modulus; and the convex tooth is modified by a circular arc having a radius of 0.3 modulus The junction of the involute profile and the top of the male tooth. 如申請專利範圍第9項所述之球面齒輪之製成方法,包括下列步驟:以離散方式排列各該凸形輪齒;以及以離散方式排列各該凹形輪齒。 The method of manufacturing a spherical gear according to claim 9, comprising the steps of: arranging each of the convex teeth in a discrete manner; and arranging each of the concave teeth in a discrete manner. 如申請專利範圍第9項所述之球面齒輪之製成方法,包括下列步驟:以一凹形輪齒齒頂、一凹形輪齒漸開線齒廓以及一凹形輪齒齒根 形成各該凹形輪齒;以弧面形成該凹形輪齒齒根;以漸開線齒廓沿其中心軸旋轉所構成之圓錐體,形成該凹形輪齒漸開線齒廓;以半徑0.3模數之圓弧修飾該凹形輪齒漸開線齒廓與該凹形輪齒齒根之接合處;以及以半徑0.3模數之圓弧修飾該凹形輪齒漸開線齒廓與該凹形輪齒齒頂之接合處。 The method for manufacturing a spherical gear according to claim 9, comprising the steps of: a concave tooth tooth tip, a concave tooth tooth involute tooth profile, and a concave gear tooth root. Forming each of the concave gear teeth; forming the concave gear tooth root by a curved surface; forming a cone formed by rotating the involute tooth profile along the central axis thereof to form the concave tooth involute tooth profile; a circular arc having a radius of 0.3 modulus modifies the joint of the involute tooth profile of the concave tooth with the root of the concave tooth; and the involute profile of the concave tooth is modified by a circular arc having a radius of 0.3 modulus The junction with the concave tooth crest.
TW100143820A 2011-11-29 2011-11-29 Variable surface rack cutter, spherical gears and manufacturing method thereof TWI455782B (en)

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TWI254658B (en) * 2005-01-28 2006-05-11 Nat Changhua University Of Edu A manufacture method for a spherical gear with ring-involute teeth

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
TWI254658B (en) * 2005-01-28 2006-05-11 Nat Changhua University Of Edu A manufacture method for a spherical gear with ring-involute teeth

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