CN111079233B - Design method for elastic deformation optimized gear shaving cutter - Google Patents

Design method for elastic deformation optimized gear shaving cutter Download PDF

Info

Publication number
CN111079233B
CN111079233B CN201911142792.5A CN201911142792A CN111079233B CN 111079233 B CN111079233 B CN 111079233B CN 201911142792 A CN201911142792 A CN 201911142792A CN 111079233 B CN111079233 B CN 111079233B
Authority
CN
China
Prior art keywords
shaving cutter
elastic deformation
gear
calculating
axis
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN201911142792.5A
Other languages
Chinese (zh)
Other versions
CN111079233A (en
Inventor
金伟峰
严鉴铂
赵艳文
林鸥
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Xian Fast Auto Drive Co Ltd
Original Assignee
Xian Fast Auto Drive Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Xian Fast Auto Drive Co Ltd filed Critical Xian Fast Auto Drive Co Ltd
Priority to CN201911142792.5A priority Critical patent/CN111079233B/en
Publication of CN111079233A publication Critical patent/CN111079233A/en
Application granted granted Critical
Publication of CN111079233B publication Critical patent/CN111079233B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation

Landscapes

  • Gear Processing (AREA)

Abstract

The invention relates to an elastic deformation optimized gear shaving cutter design methodA method of manufacturing the same. Aims to inhibit or reduce the dishing phenomenon of the gear shaving generated in the existing gear shaving process. The method comprises the steps of 1) setting an initial engagement angle parameter a_nh0, and calculating initial parameters of the shaving cutter through the a_nh0; step 2) calculating the elastic deformation delta corresponding to each stress point of the gear shaving cutter tooth part at any moment according to the initial parameters of the gear shaving cutter in step 1) 0t Calculating the elastic deformation delta of each stress point at the corresponding moment on the gear meshed with the tooth part 1t The method comprises the steps of carrying out a first treatment on the surface of the Then calculate the corresponding comprehensive elastic deformation delta of each stress point t The method comprises the steps of carrying out a first treatment on the surface of the Step 3) drawing the comprehensive elastic deformation delta t Dynamic distribution diagram of elastic deformation between the pressure angle of the corresponding stress point and the pressure angle of the corresponding stress point, and calculating the total elastic deformation range R δ The method comprises the steps of carrying out a first treatment on the surface of the Step 4) adjusting the meshing angle parameter a_nh0, repeating the steps 2) to 3), and when R is δ A_nh0 at less than or closest to 10 μm is the final design engagement angle parameter. And finishing the design of other parameters of the shaving cutter according to the final design a_nh0 value.

Description

Design method for elastic deformation optimized gear shaving cutter
Technical Field
The invention relates to a shaving cutter, in particular to a design method for an elastic deformation optimized shaving cutter.
Background
In the prior art, in the design of shaving parameters, most importantly, the meshing angle a_nh0 of the shaving cutter is determined, and the proper meshing angle a_nh0 can reduce or inhibit the formation of concave shaving, and the shaving cutter generally adopts a small meshing angle or balances the design of the shaving meshing angle; however, the shaving cutters designed by the two methods still sometimes enter a better engagement state in the latter half of the life cycle, and the reason for the phenomenon is that the rigidity of the shaving cutters is reduced due to small engagement angle or balanced shaving engagement, and more bending deformation is generated during shaving cutter processing, so that the yielding cutter in the middle area of the tooth surface with higher comprehensive rigidity is minimum, the processing amount is maximum, and thus the shaving dishing is generated.
Disclosure of Invention
The invention aims to inhibit or reduce the concave shaving phenomenon generated in the shaving process in the prior art, and provides an elastic deformation optimized shaving cutter design method.
In order to achieve the above purpose, the technical scheme adopted by the invention is as follows:
the invention relates to a design method of an elastic deformation optimized gear shaving cutter, which is characterized by comprising the following steps: the method comprises the following steps: the method comprises the following steps:
step 1) setting an initial engagement angle parameter a_nh0, and calculating initial parameters of the shaving cutter through the initial engagement angle parameter a_nh0;
step 2) calculating the elastic deformation delta corresponding to each stress point of the gear shaving cutter tooth part at any moment according to the initial parameters of the gear shaving cutter in step 1) 0t Calculating the elastic deformation delta of each stress point at the corresponding moment on the gear meshed with the tooth part 1t The method comprises the steps of carrying out a first treatment on the surface of the Then calculate the corresponding comprehensive elastic deformation delta of each stress point t ；
Step 3) drawing the comprehensive elastic deformation delta t Dynamic distribution diagram of elastic deformation between the pressure angle of the corresponding stress point and the pressure angle of the corresponding stress point, and calculating the total elastic deformation range R δ ；
Step 4) adjusting the meshing angle parameter a_nh0, repeating the steps 2) to 3), and enabling R to be δ If the meshing angle is smaller than 10 mu m, the corresponding meshing angle parameter a_nh0 is the final design meshing angle parameter of the shaving cutter, and if R δ The parameters are always larger than 10 mu m, and the parameters closest to 10 mu m are taken as final design engagement angle parameters by the engagement angle parameters a_nh0;
and finishing the design of other parameters of the shaving cutter according to the final design engagement angle parameter a_nh0.
Further, the step 2) specifically includes:
step 2.1) establishing a coordinate system by taking the center of the gear shaving cutter as an origin, taking the center line of the gear part along the radius of the gear shaving cutter as an X axis and taking the radius of the gear shaving cutter which is vertical to the X axis and vertical to the axial direction of the gear shaving cutter as a Y axis;
step 2.2) dividing the tooth part into a plurality of parts with the width of b (b) along the X axis<0.001 mm) and successive rectangles, the height y of each rectangle is calculated i Wherein i=1, 2, 3 … … or n:
Figure BDA0002281409250000021
wherein ,
Figure BDA0002281409250000022
x i is y i The vertical distance from the corresponding rectangle to the origin; r is (r) xi Is x i A distance from one end of the rectangular part to the origin along the height direction; r is (r) 0 The indexing radius of the shaving cutter is; s is S t Arc tooth thickness of the indexing round end face of the shaving cutter; alpha rxi R is xi A circular pressure angle; alpha t The pressure angle of the indexing circle end face of the shaving cutter is set; r is (r) xk The distance from the center of the tool retracting hole of the shaving tool to the original point is set; s is S rxk R is xk The thickness of the circular teeth; s is S tif Arc tooth thickness of the initial upper end face of the involute of the shaving cutter; r is (r) f The radius of the root circle of the gear shaving cutter is the radius of the root circle of the gear shaving cutter; s is S rf Arc tooth thickness of the root circle end face of the gear shaving cutter;
Figure BDA0002281409250000023
is the radius of the tool withdrawal hole; alpha fi Is the radius r xi An included angle with the X axis; z is Z 0 The number of teeth of the shaving cutter; rhtorl is a circle secant function calculated according to the chord bow height;
step 2.3) calculating the contact force F of the surfaces on the two sides of the gear part of the t gear shaving cutter at any time 1t and F2t ：
Figure BDA0002281409250000031
Figure BDA0002281409250000032
wherein ,Ev1 The equivalent elastic modulus of the shaving cutter; r is (r) F1 The distance from the meshing point of the shaving cutter to the origin is shown; n (N) v1 R is F1t Effective contact logarithm when engaged circularly; s is S nrF1t R is F1t Arc tooth thickness; a, a rF1t R is F1t A circular pressure angle; ρ vrF1t R is F1t The contact instantaneous comprehensive curvature radius when the circles are meshed; r is (r) F2t The distance from the meshing point at the other side of the shaving cutter to the origin; n (N) v2 R is F2t Round engagementThe number of simultaneous effective contact pairs; s is S nrF2t R is F2t Arc tooth thickness; a, a rF2 R is F2t A circular pressure angle; ρ vrF2t R is F2t The contact instantaneous comprehensive curvature radius when the circles are meshed; delta is the radial feed of shaving per stroke;
step 2.4) calculating the contact force F respectively 1t 、F 2t At x i Bending deformation delta generated on the rectangle xi1t 、δ xi2t (without considering the shaving base circle helix angle effect):
Figure BDA0002281409250000033
a F1ty is F 1t The clamping angle with the Y axis; a, a F1tx Is F 1t An angle with the X axis; x is x F1t Is F 1t An X-axis coordinate is used for working; b v1 The effective tooth width of the shaving cutter is; a, a F2ty Is F 2t The clamping angle with the Y axis; a, a F2tx Is F 2t An angle with the X axis; x is x F2t Is F 2t An X-axis coordinate is used for working;
step 2.5) calculating F respectively 1t 、F 2t At x F1t Bending deformation amount delta at F1tw and δF2tw ：
Figure BDA0002281409250000034
/>
wherein ,
Figure BDA0002281409250000035
x rf x-axis coordinates of rectangular centers at tooth roots; when F 2t X-axis coordinate of not less than F 1t N at the X-axis coordinate of (2) 2 ＝n 1 The method comprises the steps of carrying out a first treatment on the surface of the When F 2t X-axis coordinates of (c)<F 1t In X-axis coordinates of->
Figure BDA0002281409250000041
Step 2.6) calculating the contact force F 1t Total bending deformation corresponding to the point of actionQuantity delta Ftw ：
a. F when the shaving cutter is stressed on one side 2t The amount of bending deformation generated is 0, then:
δ Ftw ＝δ F1tw ；
b. when the shaving cutter is stressed on both sides, and F 2t X-axis coordinate of not less than F 1t X-axis coordinates of (c) then:
δ Ftw ＝δ F1tw -δ F2tw ；
c. when the shaving cutter is stressed on both sides, and F 2t X-axis coordinates of (c)<F 1t X-axis coordinates of (c) then:
δ Ftw ＝δ F1tw -δ F2tw -θ F2t ·(x F1t -x F2t )
wherein ,
Figure BDA0002281409250000042
step 2.7) calculating F on the shaving cutter 1t Contact deformation of point of action
Figure BDA0002281409250000043
Figure BDA0002281409250000044
Step 2.8) calculation of tooth contact force F from the results obtained in step 2.6) and step 2.7) 1t Total elastic deformation delta at the point of action 0t ：
δ 0t ＝δ Ftw +δ Ftc
Step 2.9) is similarly carried out, and the contact force F on the gear meshed with the shaving cutter is calculated by the calculation method from step 2.1) to step 2.8) 1t Total elastic deformation delta at position corresponding to action point 1t ：
δ 1t ＝δ F1tw +δ F1tc
wherein ,δF1tw For the contact force F on the gear 1t Action point pairBending deformation amount at the position delta F1tc For the contact force F on the gear 1t The contact deformation amount at the corresponding position of the action point;
step 2.10) calculating the comprehensive elastic deformation delta of the gear shaving cutter and the gear at the moment t t ：
δ t ＝δ 0t +δ 1t ；
Step 2.11) calculating the comprehensive elastic deformation of each different stress point when the shaving cutter and the gear interact through the methods from step 2.1) to step 2.10).
Further, the step 3) specifically includes:
step 3.1) finding the maximum value delta of the comprehensive elastic deformation in the elastic deformation dynamic distribution diagram max And find out the minimum value delta of the comprehensive elastic deformation except the initial point and the final point of the involute min ；
Step 3.2) calculating the integrated elastic deformation limit R δ ：
R δ ＝δ max -δ min 。
Further, the other initial parameters in the step 1) include a tooth thickness, an outer diameter, a center distance, a top clearance, an actual meshing line length, a clearance hole diameter, and a clearance hole distribution diameter;
further, the other parameters in the step 4) include a tooth thickness, an outer diameter, a center distance, a head clearance, an actual meshing line length, a clearance hole diameter, and a clearance hole distribution diameter.
The beneficial effects of the invention are as follows:
according to the invention, in the design of the shaving cutter, the elastic variable in the shaving process is optimized by adjusting the related parameters of the shaving cutter, and the optimal meshing angle parameter a_nh0 and the related parameters of the gear are found, so that the elastic deformation difference of the meshing tooth surface in the shaving process is minimized, thereby playing the roles of inhibiting the concave of the shaving, reducing the grinding difficulty of the shaving cutter, improving the shaving quality and prolonging the service life of the shaving cutter.
Drawings
FIG. 1 is a schematic view of the structure of a shaving cutter according to the present invention;
FIG. 2 is a schematic diagram of a gear shaving system according to the present invention;
FIG. 3 shows the integrated elastic deformation delta of the present invention t An elastic deformation dynamic distribution diagram between the elastic deformation dynamic distribution diagram and the pressure angle of the corresponding stress point;
FIG. 4 is a graph showing the dynamic distribution of elastic deformation between the comprehensive elastic deformation and the pressure angle of the corresponding stress point after the parameters of the engagement angle are optimized.
In the figure, the tooth part is 1-and the tool retracting hole is 2-.
Detailed Description
To make the objects, advantages and features of the present invention more apparent, a method for designing an elastically deformable optimized shaver in accordance with the present invention is described in further detail below with reference to the drawings and to the specific embodiments. The advantages and features of the present invention will become more apparent from the following detailed description. It should be noted that: the drawings are in a very simplified form and are all to a non-precise scale, merely for convenience and clarity in aiding in the description of embodiments of the invention; second, the structures shown in the drawings are often part of the actual structure.
The invention will be described in detail below with reference to the drawings and the detailed description.
The invention relates to a design method of an elastic deformation optimized gear shaving cutter, which has the following working principle:
the technical principle adopted by the invention is that the elastic deformation difference of the engaged tooth surface is minimized in the shaving process by adjusting the relevant parameters of the shaving cutter in the design of the shaving cutter, so that the effects of inhibiting the dishing of the shaving cutter, reducing the grinding difficulty of the shaving cutter, improving the shaving quality and prolonging the service life of the shaving cutter are achieved.
The invention relates to a design method of an elastic deformation optimized gear shaving cutter, which comprises the following design and calculation processes:
step 1) setting an initial engagement angle parameter a_nh0, and calculating initial parameters of the shaving cutter through the initial engagement angle parameter a_nh0: the tooth thickness of the circle, the outer diameter, the center distance, the top gap, the length of the actual meshing line, the diameter of the withdrawal hole and the distribution diameter of the withdrawal hole;
step 2) calculating stress of the gear shaving cutter tooth part at any moment according to the initial parameters of the gear shaving cutter in step 1)Elastic deformation delta corresponding to point 0t Calculating the elastic deformation delta of each stress point at the corresponding moment on the gear meshed with the tooth part 1t The method comprises the steps of carrying out a first treatment on the surface of the Then calculate the corresponding comprehensive elastic deformation delta of each stress point t ；
As shown in fig. 1 and 2, the following is specific:
step 2.1) establishing a coordinate system by taking the center of the gear shaving cutter as an origin, taking the center line of the gear part along the radius of the gear shaving cutter as an X axis and taking the radius of the gear shaving cutter which is vertical to the X axis and vertical to the axial direction of the gear shaving cutter as a Y axis;
step 2.2) dividing the tooth part into a plurality of parts with the width of b (b) along the X axis<0.001 mm) and successive rectangles, the height y of each rectangle is calculated i Wherein i=1, 2, 3 … … or n:
Figure BDA0002281409250000071
wherein ,
Figure BDA0002281409250000072
x i is y i The vertical distance from the corresponding rectangle to the origin; r is (r) xi Is x i A distance from one end of the rectangular part to the origin along the height direction; r is (r) 0 The indexing radius of the shaving cutter is; s is S t Arc tooth thickness of the indexing round end face of the shaving cutter; alpha rxi R is xi A circular pressure angle; alpha t The pressure angle of the indexing circle end face of the shaving cutter is set; r is (r) xk The distance from the center of the tool retracting hole of the shaving tool to the original point is set; s is S rxk R is xk The thickness of the circular teeth; s is S tif Arc tooth thickness of the initial upper end face of the involute of the shaving cutter; r is (r) f The radius of the root circle of the gear shaving cutter is the radius of the root circle of the gear shaving cutter; s is S rf Arc tooth thickness of the root circle end face of the gear shaving cutter;
Figure BDA0002281409250000073
is the radius of the tool withdrawal hole; alpha fi Is the radius r xi An included angle with the X axis; z is Z 0 The number of teeth of the shaving cutter; rhtorl is a circle secant function calculated according to the chord bow height;
step 2.3) calculating the contact force F of the surfaces on the two sides of the gear part of the t gear shaving cutter at any time 1t and F2t ：
Figure BDA0002281409250000074
Figure BDA0002281409250000075
wherein ,Ev1 The equivalent elastic modulus of the shaving cutter; r is (r) F1 The distance from the meshing point of the shaving cutter to the origin is shown; n (N) v1 R is F1t Effective contact logarithm when engaged circularly; s is S nrF1t R is F1t Arc tooth thickness; a, a rF1t R is F1t A circular pressure angle; ρ vrF1t R is F1t The contact instantaneous comprehensive curvature radius when the circles are meshed; r is (r) F2t The distance from the meshing point at the other side of the shaving cutter to the origin; n (N) v2 R is F2t Effective contact logarithm when engaged circularly; s is S nrF2t R is F2t Arc tooth thickness; a, a rF2 R is F2t A circular pressure angle; ρ vrF2t R is F2t The contact instantaneous comprehensive curvature radius when the circles are meshed; delta is the radial feed of shaving per stroke;
step 2.4) calculating the contact force F respectively 1t 、F 2t At x i Bending deformation delta generated on the rectangle xi1t 、δ xi2t ：
Figure BDA0002281409250000081
a F1ty Is F 1t The clamping angle with the Y axis; a, a F1tx Is F 1t An angle with the X axis; x is x F1t Is F 1t An X-axis coordinate is used for working; b v1 The effective tooth width of the shaving cutter is; a, a F2ty Is F 2t The clamping angle with the Y axis; a, a F2tx Is F 2t An angle with the X axis; x is x F2t Is F 2t An X-axis coordinate is used for working;
and 2, step 2.5) Respectively calculate F 1t 、F 2t At x F1t Bending deformation amount delta at F1tw and δF2tw ：
Figure BDA0002281409250000082
/>
wherein ,
Figure BDA0002281409250000083
x rf x-axis coordinates of rectangular centers at tooth roots; when F 2t X-axis coordinate of not less than F 1t N at the X-axis coordinate of (2) 2 ＝n 1 The method comprises the steps of carrying out a first treatment on the surface of the When F 2t X-axis coordinates of (c)<F 1t In X-axis coordinates of->
Figure BDA0002281409250000084
Step 2.6) calculating the contact force F 1t Total bending deformation delta corresponding to action point Ftw ：
a. F when the shaving cutter is stressed on one side 2t The amount of bending deformation generated is 0, then:
δ Ftw ＝δ F1tw ；
b. when the shaving cutter is stressed on both sides, and F 2t X-axis coordinate of not less than F 1t X-axis coordinates of (c) then:
δ Ftw ＝δ F1tw -δ F2tw ；
c. when the shaving cutter is stressed on both sides, and F 2t X-axis coordinates of (c)<F 1t X-axis coordinates of (c) then:
δ Ftw ＝δ F1tw -δ F2tw -θ F2t ·(x F1t -x F2t )
wherein ,
Figure BDA0002281409250000085
step 2.7) calculating F on the shaving cutter 1t Contact deformation of point of action
Figure BDA0002281409250000086
Figure BDA0002281409250000091
Step 2.8) calculation of tooth contact force F from the results obtained in step 2.6) and step 2.7) 1t Total elastic deformation delta at the point of action 0t ：
δ 0t ＝δ Ftw +δ Ftc
Step 2.9) is similarly carried out, and the contact force F on the gear meshed with the shaving cutter is calculated by the calculation method from step 2.1) to step 2.8) 1t Total elastic deformation delta at position corresponding to action point 1t ：
δ 1t ＝δ F1tw +δ F1tc
wherein ,δF1tw For the contact force F on the gear 1t Bending deformation amount delta at corresponding position of action point F1tc For the contact force F on the gear 1t The contact deformation amount at the corresponding position of the action point;
step 2.10) calculating the comprehensive elastic deformation delta of the gear shaving cutter and the gear at the moment t t ：
δ t ＝δ 0t +δ 1t ；
Step 2.11) calculating the comprehensive elastic deformation of each different stress point when the shaving cutter and the gear interact through the methods from step 2.1) to step 2.10).
Step 3) As shown in FIG. 3, the integrated elastic deformation amount delta is plotted t Dynamic distribution diagram of elastic deformation between the pressure angle of the corresponding stress point and the pressure angle of the corresponding stress point, and calculating the total elastic deformation range R δ The method comprises the steps of carrying out a first treatment on the surface of the The method comprises the following steps:
step 3.1) finding the maximum value delta of the comprehensive elastic deformation in the elastic deformation dynamic distribution diagram max And find out the minimum value delta of the comprehensive elastic deformation except the initial point and the final point of the involute min ；
Step 3.2) calculating the integrated elastic deformation limit R δ ：
R δ ＝δ max -δ min 。
Step 4) adjusting the meshing angle parameter a_nh0, repeating the steps 2) to 3), and enabling R to be δ If the meshing angle is smaller than 10 mu m, the corresponding meshing angle parameter a_nh0 is the final design meshing angle parameter of the shaving cutter, and if R δ The parameters are always larger than 10 mu m, and the parameters closest to 10 mu m are taken as final design engagement angle parameters by the engagement angle parameters a_nh0;
and (3) finishing the design of the tooth thickness, the outer diameter, the center distance, the top clearance, the actual meshing line length, the diameter of the cutter withdrawal holes and the distribution diameter of the cutter withdrawal holes of the shaving cutter according to the final design meshing angle parameter a_nh0, wherein an optimized dynamic distribution diagram of elastic deformation is shown in fig. 4.
The calculation method of the initial parameters and other parameters refers to manual design and selection of gear cutters.

Claims (5)

1. The design method of the elastic deformation optimized gear shaving cutter is characterized by comprising the following steps of:
step 1) setting an initial engagement angle parameter a_nh0, and calculating initial parameters of the shaving cutter through the initial engagement angle parameter a_nh0;
step 2) calculating the elastic deformation delta corresponding to each stress point of the gear shaving cutter tooth part at any moment according to the initial parameters of the gear shaving cutter in step 1) 0t Calculating the elastic deformation delta of each stress point at the corresponding moment on the gear meshed with the tooth part 1t The method comprises the steps of carrying out a first treatment on the surface of the Then calculate the corresponding comprehensive elastic deformation delta of each stress point t ；
Step 3) drawing the comprehensive elastic deformation delta t Dynamic distribution diagram of elastic deformation between the pressure angle of the corresponding stress point and the pressure angle of the corresponding stress point, and calculating the total elastic deformation range R δ ；
Step 4) adjusting the meshing angle parameter a_nh0, repeating the steps 2) to 3), and enabling R to be δ If the meshing angle is smaller than 10 mu m, the corresponding meshing angle parameter a_nh0 is the final design meshing angle parameter of the shaving cutter, and if R δ The parameters are always larger than 10 mu m, and the parameters closest to 10 mu m are taken as final design engagement angle parameters by the engagement angle parameters a_nh0;
and finishing the design of other parameters of the shaving cutter according to the final design engagement angle parameter a_nh0.
2. A method of designing an elastically deformable optimized shaving cutter as defined in claim 1, wherein said step 2) comprises:
step 2.1) establishing a coordinate system by taking the center of the gear shaving cutter as an origin, taking the center line of the gear part along the radius of the gear shaving cutter as an X axis and taking the radius of the gear shaving cutter which is vertical to the X axis and vertical to the axial direction of the gear shaving cutter as a Y axis;
step 2.2) dividing the tooth part into a plurality of parts with the width of b (b) along the X axis<0.001 mm) and successive rectangles, the height y of each rectangle is calculated i Wherein i=1, 2, 3 … … or n:
Figure FDA0002281409240000011
wherein ,
Figure FDA0002281409240000021
x i is y i The vertical distance from the corresponding rectangle to the origin; r is (r) xi Is x i A distance from one end of the rectangular part to the origin along the height direction; r is (r) 0 The indexing radius of the shaving cutter is; s is S t Arc tooth thickness of the indexing round end face of the shaving cutter; alpha rxi R is xi A circular pressure angle; alpha t The pressure angle of the indexing circle end face of the shaving cutter is set; r is (r) xk The distance from the center of the tool retracting hole of the shaving tool to the original point is set; s is S rxk R is xk The thickness of the circular teeth; s is S tif Arc tooth thickness of the initial upper end face of the involute of the shaving cutter; r is (r) f The radius of the root circle of the gear shaving cutter is the radius of the root circle of the gear shaving cutter; s is S rf Arc tooth thickness of the root circle end face of the gear shaving cutter;
Figure FDA0002281409240000024
is the radius of the tool withdrawal hole; alpha fi Is the radius r xi An included angle with the X axis; z is Z 0 The number of teeth of the shaving cutter; rhtorl is a circle secant function calculated according to the chord bow height;
step (a)2.3 Calculating the contact force F of the surfaces on the two sides of the gear part of the t gear shaving cutter at any moment 1t and F2t ：
Figure FDA0002281409240000022
/>
Figure FDA0002281409240000023
wherein ,Ev1 The equivalent elastic modulus of the shaving cutter; r is (r) F1 The distance from the meshing point of the shaving cutter to the origin is shown; n (N) v1 R is F1t Effective contact logarithm when engaged circularly; s is S nrF1t R is F1t Arc tooth thickness; a, a rF1t R is F1t A circular pressure angle; ρ vrF1t R is F1t The contact instantaneous comprehensive curvature radius when the circles are meshed; r is (r) F2t The distance from the meshing point at the other side of the shaving cutter to the origin; n (N) v2 R is F2t Effective contact logarithm when engaged circularly; s is S nrF2t R is F2t Arc tooth thickness; a, a rF2 R is F2t A circular pressure angle; ρ vrF2t R is F2t The contact instantaneous comprehensive curvature radius when the circles are meshed; delta is the radial feed of each shaving stroke;
step 2.4) calculating the contact force F respectively 1t 、F 2t At x i Bending deformation delta generated on the rectangle xi1t 、δ xi2t ：
Figure FDA0002281409240000031
a F1ty Is F 1t The clamping angle with the Y axis; a, a F1tx Is F 1t An angle with the X axis; x is x F1t Is F 1t An X-axis coordinate is used for working; b v1 The effective tooth width of the shaving cutter is; a, a F2ty Is F 2t The clamping angle with the Y axis; a, a F2tx Is F 2t An angle with the X axis; x is x F2t Is F 2t An X-axis coordinate is used for working;
step 2.5) calculating F respectively 1t 、F 2t At x F1t Bending deformation amount delta at F1tw and δF2tw ：
Figure FDA0002281409240000032
wherein ,
Figure FDA0002281409240000033
x rf x-axis coordinates of rectangular centers at tooth roots; when F 2t X-axis coordinate of not less than F 1t N at the X-axis coordinate of (2) 2 ＝n 1 The method comprises the steps of carrying out a first treatment on the surface of the When F 2t X-axis coordinates of (c)<F 1t In X-axis coordinates of->
Figure FDA0002281409240000034
Step 2.6) calculating the contact force F 1t Total bending deformation delta corresponding to action point Ftw ：
a. F when the shaving cutter is stressed on one side 2t The amount of bending deformation generated is 0, then:
δ Ftw ＝δ F1tw ；
b. when the shaving cutter is stressed on both sides, and F 2t X-axis coordinate of not less than F 1t X-axis coordinates of (c) then:
δ Ftw ＝δ F1tw -δ F2tw ；
c. when the shaving cutter is stressed on both sides, and F 2t X-axis coordinates of (c)<F 1t X-axis coordinates of (c) then:
δ Ftw ＝δ F1tw -δ F2tw -θ F2t ·(x F1t -x F2t )
wherein ,
Figure FDA0002281409240000035
step 2.7) calculating F on the shaving cutter 1t Contact deformation of point of action
Figure FDA0002281409240000036
Figure FDA0002281409240000037
Step 2.8) calculation of tooth contact force F from the results obtained in step 2.6) and step 2.7) 1t Total elastic deformation delta at the point of action 0t ：
δ 0t ＝δ Ftw +δ Ftc
Step 2.9) is similarly carried out, and the contact force F on the gear meshed with the shaving cutter is calculated by the calculation method from step 2.1) to step 2.8) 1t Total elastic deformation delta at position corresponding to action point 1t ：
δ 1t ＝δ F1tw +δ F1tc
wherein ,δF1tw For the contact force F on the gear 1t Bending deformation amount delta at corresponding position of action point F1tc For the contact force F on the gear 1t The contact deformation amount at the corresponding position of the action point;
step 2.10) calculating the comprehensive elastic deformation delta of the gear shaving cutter and the gear at the moment t t ：
δ t ＝δ 0t +δ 1t ；
Step 2.11) calculating the comprehensive elastic deformation of each different stress point when the shaving cutter and the gear interact through the methods from step 2.1) to step 2.10).
3. A method of designing an elastically deformable optimized shaving cutter according to claim 1 or 2, wherein said step 3) comprises:
step 3.1) finding the maximum value delta of the comprehensive elastic deformation in the elastic deformation dynamic distribution diagram max And find out the minimum value delta of the comprehensive elastic deformation except the initial point and the final point of the involute min ；
Step 3.2) calculating the comprehensive elastic ChangeExtremely poor shape R δ ：
R δ ＝δ max -δ min 。
4. A method of designing an optimized shaving cutter for elastic deformation as claimed in claim 1, wherein said other initial parameters in step 1) include tooth thickness, outer diameter, center distance, tip clearance, actual meshing line length, relief hole diameter, and relief hole distribution diameter.
5. A method of designing an optimized elastically deformable shaving cutter as defined in claim 1, wherein the other parameters in step 4) include tooth thickness, outer diameter, center distance, head clearance, actual meshing line length, relief hole diameter, and relief hole distribution diameter.
CN201911142792.5A 2019-11-20 2019-11-20 Design method for elastic deformation optimized gear shaving cutter Active CN111079233B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201911142792.5A CN111079233B (en) 2019-11-20 2019-11-20 Design method for elastic deformation optimized gear shaving cutter

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201911142792.5A CN111079233B (en) 2019-11-20 2019-11-20 Design method for elastic deformation optimized gear shaving cutter

Publications (2)

Publication Number Publication Date
CN111079233A CN111079233A (en) 2020-04-28
CN111079233B true CN111079233B (en) 2023-05-12

Family

ID=70311305

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201911142792.5A Active CN111079233B (en) 2019-11-20 2019-11-20 Design method for elastic deformation optimized gear shaving cutter

Country Status (1)

Country Link
CN (1) CN111079233B (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112861286B (en) * 2021-03-02 2023-04-18 西安建筑科技大学 Gear shaving machining parameter global optimization design method

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106611080A (en) * 2016-11-10 2017-05-03 西安建筑科技大学 Shaving cutter design method based on analysis on meshing contact property of shaving gears
WO2017215621A1 (en) * 2016-06-16 2017-12-21 南通慧幸智能科技有限公司 Tooth profile design method for three-dimensional high-rigidity harmonic speed reducer
CN109710969A (en) * 2018-11-15 2019-05-03 西安建筑科技大学 A kind of shaving profile error prediction technique

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2017215621A1 (en) * 2016-06-16 2017-12-21 南通慧幸智能科技有限公司 Tooth profile design method for three-dimensional high-rigidity harmonic speed reducer
CN106611080A (en) * 2016-11-10 2017-05-03 西安建筑科技大学 Shaving cutter design method based on analysis on meshing contact property of shaving gears
CN109710969A (en) * 2018-11-15 2019-05-03 西安建筑科技大学 A kind of shaving profile error prediction technique

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
华成丽 ; .剃齿变形量计算与刀具修形曲线拟合应用.机械研究与应用.(第03期),全文. *

Also Published As

Publication number Publication date
CN111079233A (en) 2020-04-28

Similar Documents

Publication Publication Date Title
CN111079233B (en) Design method for elastic deformation optimized gear shaving cutter
CN104475842B (en) A kind of Blisk profile milling technological method for processing
CN113369606B (en) Processing method of thin electrode
CN107256300B (en) Tooth direction modification method for spur gear based on tooth surface stress edge effect and gear skew deformation
CN102451938A (en) Numerical milling processing threaded cutter, and processing method thereof
JP2004519644A (en) Countersunk gear
CN109241613B (en) Method for determining cutter root trimming parameters of spiral bevel gear
CN108591421A (en) The basic tooth profile and model of a kind of pin gear cutter at involute pin tooth tooth profile
WO2019100271A1 (en) Band saw blade and manufacturing method therefor
CN204818285U (en) Bands for band
US20140260881A1 (en) Saw blade and system and method for manufacturing a saw blade
CN110465706A (en) Hardened face gear smart car technique and its skiving devising method of cutting tool
CN106424966A (en) Grinding technology and device for wheel groove finishing broach with equal cutting angles
JP2006212726A (en) Electro-deposited dressing gear
CN201211577Y (en) Combined round hole broach
JP2020040179A (en) Method of machining wall surface of rib groove and tapered end mill
CN103706886A (en) Involute gear tooth profile gear cutting equipment and gear cutting method thereof
JP2012171028A (en) Square end mill
CN106424917A (en) Workpiece machining method for wheel groove finishing broach with wheel cut tooth profile
CN105364195B (en) It is a kind of with the unilateral broaching gear broach of wide formula
US4833836A (en) Process for grinding a gear tooth blank to form an involute gear tooth
RU145350U1 (en) END MILL
CN114769741B (en) Full-arc hob with tooth tops and design method thereof
CN106825614B (en) A kind of aero-compressor hubcap profile surface processing method
CN103302340A (en) Numerical control machining progressive interpolation method

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant