Straight Cylindrical Involute Splines Metric Module, Side Fit Part 1: Generalities

Transcription

1 Translated English of Chinese Standard: GB/T NATIONAL STANDARD OF THE PEOPLE S REPUBLIC OF CHINA GB ICS J 18 Replacing GB/T Straight Cylindrical Involute Splines Metric Module, Side Fit Part 1: Generalities 圆柱直齿渐开线花键 ( 米制模数齿侧配合 ) 第 1 部分 : 总论 (ISO :2005, MOD) Issued on: September 22, 2008 Implemented on: May 1, 2009 Jointly issued by: General Administration of Quality Supervision, Inspection and Quarantine of the People s Republic of China; Standardization Administration of the People s Republic of China. Page 1 of 88

2 Table of Contents Foreword Scope Normative References Terms and Definitions Basic Parameters Basic Tooth Profiles Dimension Series Tolerance Classes Tolerances Side Fit Effective Dimensions and Actual Dimensions Inspection Methods Parameter Annotation Calculation Examples Appendix A (Normative) Conditions and Requirements for Application of Straight Tooth Form for Internal Spline Appendix B (Informative) Radial Runout Tolerance of Tooth Ring Appendix C (Informative) Calculation Examples of Spline Page 2 of 88

3 Foreword GB/T 3478, under the general title "Straight Cylindrical Involute Spline - Metric Module, Side Fit", consists of the following parts: - Part 1: Generalities; - Part 2: 30 Pressure Angle Dimensions Tables; - Part 3: 37.5 Pressure Angle Dimensions Tables; - Part 4: 45 Pressure Angle Dimensions Tables; - Part 5: Inspection; - Part 6: 30 Pressure Angle M and W Values; - Part 7: 37.5 Pressure Angle M and W Values; - Part 8: 45 Pressure Angle M and W Values; - Part 9: Measuring Pin. This part is Part 1 of GB/T This part modifies and adopts ISO :2005 "Straight Cylindrical Involute Splines - Metric Module, Side Fit - Part 1: Generalities". The main differences are as follows: - The terms and definitions were presented in a table, for the convenience of use; - The figures for side fit were deleted; and figures for involute spline joints were added; - Theoretical analysis figures for profile error, tooth alignment error and total error of tooth pitch were deleted; and tables for specific tolerance numbers were added; - Single item inspection method was added; - Appendix A Conditions and Requirements for Application of Linear Tooth Form for Internal Spline and Appendix B Radial Runout Tolerance of Tooth Ring were added. This part is a revision to GB/T Straight Cylindrical Involute Splines-Modules, Basic Rack Profiles and Tolerances". The main differences are as follows: Page 3 of 88

4 - The standard title was changed from "Straight Cylindrical Involute Splines - Modules, Basic Rack Profiles and Tolerances" into "Straight Cylindrical Involute Splines - Metric Module, Side Fit - Part 1: Generalities"; - The mistakes in the former standard were corrected; and editorial modifications were made according to GB/T 1.1; - Figure 5 and Appendix C "Calculation Examples of Spline" were added. Appendix A of this part is normative; Appendix B and Appendix C are informative. This part was proposed by and shall be under the jurisdiction of National Technical Committee on Shafts for Machinery and Accessories of Standardization Administration of China. Drafting organizations of this part: China Productivity Center for Machinery, Harbin Dongan Automotive Engine Manufacturing Co., Ltd., Shijiazhuang Sprocket General Factory, China National Erzhong Group Company, and Taiyuan Heavy Industry Co., Ltd. Chief drafting staff of this part: Ming Cuixin, Chang Baoyin, Xu Wenjiang, Tan Renwan, Wang Xiaoling, and Deng Gaojian. The previous editions replaced by this part are: - GB and GB/T Page 4 of 88

5 Straight Cylindrical Involute Splines Metric Module, Side Fit Part 1: Generalities 1 Scope This part of GB/T 3478 specifies the series of modules, basic tooth profiles, tolerances and side-fit classification for straight cylindrical involute splines. This part is applicable to side-fitting straight cylindrical involute splines of standard pressure angles of 30 and 37.5 (modules from 0.5 mm ~ 10 mm), 45 (modules from 0.25 mm ~ 2.5 mm). Note: For ease of computer management, is expressed as Normative References The following documents contain provisions which, through reference in this part of GB/T 3478, constitute provisions of this Part. For dated reference, subsequent amendments (excluding corrigendum) or revisions of these publications do not apply. However, parties who enter into agreements based on this standard are encouraged to investigate the possibility of applying the most recent editions of the standards indicated below. For any undated references, the latest edition of the document referred to applies. GB/T Geometrical Product Specifications (GPS) - Limits and Fits - Part 1: Bases of Tolerances, Deviations and Fits GB/T Straight Cylindrical Involute Splines - Metric Module, Side Fit - Part 5: Inspection (GB/T , ISO :2005, (Straight Cylindrical Involute Splines - Metric Module, Side Fit - Part 3: Inspection), MOD) 3 Terms and Definitions See Table 1 and Figure 1 for the terms and definitions applied in this part (for 30 pressure angle flat root, hereinafter it is referred to as 30 flat root; for 30 pressure angle fillet root, it is referred to as 30 fillet root; for 37.5 pressure angle fillet root, it is referred to as 37.5 fillet root; for 45 pressure angle fillet root, it is referred to as 45 fillet root). For the purpose of this part, the following terms and definitions apply. Page 5 of 88

6 20 Form diameter, external spline D Fe 21 Basic space width E Basic dimension of circular space width on the pitch circle of internal spline, which has a value of half the pitch 22 Actual space width Maximum actual space width Minimum actual space width E max E min Circular space width, on the pitch circle of internal spline, of any single space Effective space width E v Space width, which has a value of the pitch circle circular tooth thickness of 23 Maximum effective space width E v max an imaginary perfect external spline that fits without clearance or Minimum effective space width E v min interference on the entire length of the splined assembly 24 Basic tooth thickness S Basic dimension of circular tooth thickness on the pitch circle of external spline, which has a value of half the pitch 25 Actual tooth thickness Maximum actual tooth thickness Minimum actual tooth thickness S max S min Circular tooth thickness, on the pitch circle of external spline, of any single tooth Effective tooth thickness S v Tooth thickness, which has a value of the pitch circle circular space width of 26 Maximum effective tooth thickness S v max an imaginary perfect internal spline that fits without clearance or Minimum effective tooth thickness S v min interference on the entire length of the splined assembly 27 Effective clearance (full tooth clearance) C v Effective space width of the internal spline minus the effective tooth thickness of the external spline. For looseness, it is positive; for interference, it is negative. 28 Theoretical clearance (single tooth clearance) C Actual space width of the internal spline minus the actual tooth thickness of the external spline 29 Form clearance C F Radial distance of the involute tooth form exceeding the spline joint 30 Total tolerance T+λ Machining tolerance plus the deviation allowance 31 Machining tolerance T Permissible deviation of actual space width or actual tooth thickness 32 Deviation allowance λ Permissible deviation of tooth (space) form and position errors Permissible deviation of maximum absolute value of the difference between 33 Total pitch deviation F p the actual and theoretical circular lengths of any two teeth surfaces on the same side of pitch circle Permissible deviation of the normal distance between two theoretical 34 Total profile deviation F α profiles covering the actual profile, at the profile working part (including form clearance; excluding tooth crest chamfer) Permissible deviation of pitch circle arc length between two theoretical teeth 35 Total helix deviation F β traces covering the actual tooth trace, within the spline fit length The tooth trace refers to the line of intersection between pitch circle cylindrical surface and tooth surface 36 Measurement between two balls or pins, internal M Ri The inside distance between the two measuring pins for measuring the actual space width of internal spline is referred to as M value. 37 Measurement between two balls or pins, external M Re The outside distance between the two measuring pins for measuring the actual tooth thickness of external spline is referred to as M value. Measurement over K teeth With two outer tooth surfaces spaced by K teeth, each of the two tangent 38 Average value of measurement W with one of two parallel planes, the vertical distance between such two over K teeth parallel planes Page 7 of 88

7 a For comparison, the size of spline tooth is provided - standard pressure angle α D is 30 ; number of teeth is 30; and ratio is 1:1 with different modules. 5 Basic Tooth Profiles 5.1 This part specifies four basic tooth profiles according to three tooth profile angles and two teeth roots, as shown in Figure The basic tooth profile of involute spline refers to the tooth profile that is normal to the basic rack. The basic rack refers to error-free imaginary spline with infinite diameter. 5.3 Basic tooth profile is the basis for determining the dimensions of involute spline. 5.4 Reference line is a straight line that crosses over the basic tooth profile, based on which the dimensions of the basic tooth profile are determined. 5.5 Both the circle root arc radius ρ Fi of basic tooth profile of internal spline and the circle root arc radius ρ Fe of basic tooth profile of external spline are definite values. Note: For splines that are machined by using various generating methods, the curvature radii of circle root arcs are varied. The minimum is at the contact point between the arc and external spline minor circle (or internal spline major circle); it increases gradually along the arc and reaches the maximum as approaching to the starting point of external spline involute (or final point of internal spline involute). 5.6 The form clearance C F of all basic tooth profiles is 0.1 m. 5.7 Basic tooth profiles of flat root and fillet root are permissible to be mixed-used on internal and external splines. Page 10 of 88

8 Moreover, for external splines, use non-full-tooth not-go-end spline gauge (feeler gauge or ring gauge) or measure the M value (measurement between two balls or pins, internal M Ri or measurement between two balls or pins, external M Re ); the average value of measurement over K teeth, W, can be measured to control the maximum value E max of actual space width of internal spline or the minimum value S min of actual tooth thickness of external spline, thus to control the minimum physical size of internal and external splines. The basic method is a common inspection method in batch production Method A On the basis of basic method, use integrative not-go-end spline gauge (feeler gauge or ring gauge) to control the maximum value of effective space width of internal spline E v max or the minimum value of effective tooth thickness of external spline S v min, thus to control the maximum value of effective clearance C v max. This method is applicable to bi-directional rotating driven mechanisms with return requirements Method B Use integrative go-end spline gauge and integrative not-go-end spline gauge (feeler gauge or ring gauge) to control the minimum value E v min and the maximum value E v max of effective space width of internal spline or the maximum value S v max and the minimum value S v min of effective tooth thickness of external spline respectively, thus to control the minimum value C v min and the maximum value C v max of effective clearance. This method may be adopted after the process quality is stable by certification of batch production on the basis of Method A. In case of any fluctuation in process quality that may affect the product quality, Method A shall be adopted Single Item Inspection Method Use non-full-tooth go gauge and non-full-tooth no-go gauge or by measurement between two balls or pins, external M Re or average value of measurement over K teeth W to control the maximum value E max and the minimum value E min of actual space width of internal spline with non-full-tooth go gauge and non-full-tooth no-go gauge or by the measurement between two balls or pins, internal M Ri ; control the maximum value S max and the minimum value S min of actual tooth thickness of external spline. Simultaneously, control the integrative error by measuring the total pitch error, profile error and tooth alignment error. It is allowable to measure the total pitch error and the tooth alignment error around the spline pitch circle. Page 68 of 88

9 α D = 30 a) Pitch circle diameter: D=m z=1.0 25=25.00 b) Base diameter: D b =m z cosα D = cos30 = c) Minimum value of major diameter: D ei min =m (z+1.8)=1.0 (25+1.8)=26.80 d) Maximum value of major diameter: D ei max =D ei min +IT12= =27.01 (See Table 3) e) Minimum value of form diameter, internal spline: D Fi min =m (z+1)+2 C F =1.0 (25+1)+2 0.1=26.20 Where: C F =0.1 m= =0.1 f) Minimum value of minor diameter: D ii min =D Fe max +2C F = =24.09 Where: = h s =0.6m= =0.6 (See Figure 2) es v =0 (See Table 23) g) Maximum value of minor diameter: D ii max =D ii min +H11= =24.22 (See Table 25 for the value of H11) h) Minimum value of effective space width: E v min =0.5 π m= π=1.571 i) Maximum value of actual space width: E max =E v min +(T+λ)= =1.709 Where, from 8.1, in the case of Class 7: (T+λ)=40i d +160i E = =0.138 mm (or refer to Table 10) i d =0.45Error! Objects cannot be created from editing field codes d=0.45 Error! Objects cannot be created from editing field codes = i E =0.45Error! Objects cannot be created from editing field codes e=0.45 Error! Objects cannot be created from editing field codes = j) Minimum value of actual space width: E min =E v min +λ= =1.619 Where, from 8.2: mm From 8.4: mm L=(π m z)/2= π/2= From 8.5: F e =6.3φ f +40= =0.048mm φ f =m m z= = From 8.6: mm Page 79 of 88

10 g=d/2=25/2=12.50 k) Maximum value of effective space width: E v max =E max -λ= =1.661 l) Diameter of measuring rod: D Ri =D b [tanα ei -tan(α ci -E max /D+invα ei -invα D )] =1.879 Where D Ri =1.90 Where: D ei =(D ee max +D ii min )/2=[1.0 ( )+24.09]/2= D ee max =m (z+1)=1.0 ( )=26.00 m) Measurement between two balls or pins, internal: When E=E max =1.709: The maximum value: Error! Objects cannot be created from editing field codes. Where: α i max = When E=E min =1.619: The maximum value: Where: α i min = n) Circle root arc minimum radius of curvature (in case of fillet root): R i min =0.4 m= =0.4 (See Table 26) C.3 Example 3: EXT 25z 1.0m 30R 4h z = 25 m = 1.0 α D = 30 a) Pitch circle diameter: D=m z=1.0 25=25.00 b) Base diameter: D b =m z cosα D = cos30 = c) Maximum value of major diameter: (See Table 24) d) Minimum value of major diameter: D ee min =D ee max -IT11=26.00=0.13=25.87 (See Tables 3 and 25) e) Maximum value of form diameter, external spline: Page 80 of 88

11 (See Table 3) h) Maximum value of effective tooth thickness: S v max=s+es v =-0.5 π =1.531 i) Minimum value of actual tooth thickness: S min =S v max -(T+λ) =1.445 Where, from 8.1, in the case of Class 6: (T+λ)=25i d +100i s = =0.086 mm (or refer to Table 10) i d =0.45Error! Objects cannot be created from editing field codes d=0.45 Error! Objects cannot be created from editing field codes = i s =0.45Error! Objects cannot be created from editing field codes s=0.45 Error! Objects cannot be created from editing field codes = j) Maximum value of actual tooth thickness: S max =S v max -λ= =1.498 Where, from 8.2: mm From 8.4: mm L=(π m z)/2= π/2= From 8.5: From 8.6: mm F a =4φ f +25= =0.030 mm φ f =m m 2= = g=d/2=25/2=12.50 k) Minimum value of effective tooth thickness: S v min=s min +λ= =1.478 l) Diameter of measuring rod: = Where D Re =2.00 Where: D ce =(D ee max +D ii min )/2=( )/2= D ii min =D Fe max +2C F = =24.03 C F =0.1 m= =0.1 m) Measurement between two balls or pins, external: Where S=S max =1.498: The maximum value: Error! Objects cannot be created from editing field codes. Where: Page 83 of 88

12 codes.=1.0 (25-1.5)+0.048= g) Minimum value of minor diameter: D ie min =D ie max -IT12= = (See Table 3) h) Maximum value of effective tooth thickness: S v max =S+es v =0.5 π =1.598 i) Minimum value of actual tooth thickness: S min =S v max-(t+λ)= =1.543 Where, from 8.1, in the case of Class 5: (T+λ)=16i d +64i s = =0.055 mm (or refer to Table 10) i d =0.45Error! Objects cannot be created from editing field codes d=0.45 Error! Objects cannot be created from editing field codes = i s =0.45Error! Objects cannot be created from editing field codes s=0.45 Error! Objects cannot be created from editing field codes = j) Maximum value of actual tooth thickness: S max =S v max -λ= =1.575 Where, from 8.2: mm From 8.4: mm L=(π m z)/2= π/2= From 8.5: From 8.6: mm F a =2.5φ f +16= =0.019 mm φ f =m m z= = g=d/2=25/2=12.50 k) Minimum value of effective tooth thickness: S v min=s min +λ= =1.566 l) Diameter of measuring rod: = Where D Re =2.00 Where: D ce =(D ee max +D ii min )/2=( )/2= D ii min =D Fe max +2C F = =24.13 C F =0.1 m= =0.1 m) Measurement between two balls or pins, external: Where S=S max =1.575: Page 85 of 88

13 The maximum value: Error! Objects cannot be created from editing field codes. Where: α e max = Where S=S min =1.543: The maximum value: Error! Objects cannot be created from editing field codes. Where: α e min = n) Circle root arc minimum radius of curvature (in case of flat root): R e min=0.2m= =0.2 (See Table 26) o) Average value of measurement over K teeth W: The minimum value: W min =cos30 [(K-0.5)πm+D inv30 +es v -(T+λ)] =cos30 [(5-0.5) π ] = Where: K=z/6+0.5=25/6+0.5=4.67 (K=5) The maximum value: W max =W min +Tcos30 = ( ) cos30 = Note: In all examples, the unspecified straight dimension unit shall be mm; in case of μm in calculation process, it shall be changed into mm. END Page 86 of 88