Method for optimizing design of straight-tooth gear shaper cutter
A technology of optimized design and gear shaping cutter, applied in the field of mechanical processing, can solve problems such as economic loss, high manufacturing cost, and low design efficiency
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Embodiment 1
[0118] A method for optimal design of straight-toothed gear-shaping cutters, at least including the following steps:
[0119] Step 1) The number of teeth of the gear shaper cutter Z 0 determination;
[0120] Step 2) Maximum variation coefficient X 0 Determination of max;
[0121] Step 3) Minimum variation coefficient X 0 Determination of min;
[0122] Step 4) According to the number of teeth Z in step 1) to step 3) 0 , the maximum variation coefficient X 0 max, minimum variation coefficient X 0 min, calculate the distance from the basic section of the gear shaper cutter to the front end face, and the tooth profile parameters of the original section, front end face, and inspection section of the gear shaper cutter. In this step, the method of calculating the distance from the basic section of the gear shaping cutter to the front end surface, and the tooth shape parameters of the original section of the gear shaping cutter, the front end surface, and the inspection sectio...
Embodiment 2
[0125] A method for optimal design of straight-toothed gear-shaping cutters, at least including the following steps:
[0126] Step 1) The number of teeth of the gear shaper cutter Z 0 OK for:
[0127] a) The number of teeth of the gear shaper cutter is first according to the formula Z 0 = Z 2 / 1.5~Z 2 / 2 for primaries; where Z 2 For the cut internal gear;
[0128] b) Select the number of teeth that has no common denominator with the number of teeth of the gear grinding machine indexing worm gear pair and the gear to be cut from the number of teeth in the primary selection;
[0129] c) Choose the most number of teeth from the number of teeth that have no common denominator.
[0130] Step 2) Maximum variation coefficient X 0 Determination of max:
[0131] The step 2) maximum variation coefficient X 0 The determination of max is limited by the sharpening of the tooth tip of the gear shaper, the limit of the cut-in top cut, the limit of the negative mesh angle phenomenon,...
Embodiment 3
[0137] On the basis of Example 2, the limit of the sharpening of the tooth tip of the gear shaping cutter in the step 2): the minimum tooth tip width allowed by the gear shaping cutter [S a0 ] min Calculate according to the formula:
[0138] [S a0 ] min = S a0y A c
[0139] In the formula: A c ——Pressure Angle Coefficient A c =0.55 / (tanα) 0.5915
[0140] S a0y ={m[-0.032+0.0065mZ 0 -6.8X10 -5 x(mZ 0 ) 2 +3.2x10 -7 x(mZ 0 ) 3 ]+[0.027-0.0026mZ 0 +5.6x10 -5 (mZ 0 ) 2 -3.6x10 -7 x(mZ 0 ) 3 ]} 1 / 2
[0141] Maximum variation coefficient (X 0 ) max , which can be calculated according to the restrictive condition of tooth top becoming sharper by the following formula:
[0142] S a0 =[π+4X 0 tanα / Z 0 +(invα-invα a0 )]r a0
[0143] In the formula: S a0 ——The actual width of the top edge of the gear shaping cutter
[0144] r a0 —— Radius of tip circle of gear shaping cutter
[0145] α——the index circle pressure angle of the gear shaper cutter
[01...
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