Draw the reference line of the helical gear. Draw the base circle of the gear in sketch mode, select the Ralations sub-item of the Tools menu, add the relationship: sd0=the base circle radius (the relationship added in step 1.2.1), and confirm the exit sketch mode. . Also draw the root circle line, the index circle line, the addendum circle line and add the corresponding relationship. If you modify the gear parameters later, these baselines will change accordingly.
The involute curve of the helical gear is drawn from the principle of the tooth profile of the helical gear of the parallel shaft. It can be seen that the shape of the helical gear tooth intersecting any cross section is the involute profile, and the parameter is the end face parameter of the helical gear. That is, the end face modulus, the end face pressure angle, and the number of gear teeth.
There are many ways to generate involutes in Pro/E. This paper uses involute mathematical equations to generate involutes.
1) Click on Pro/E right toolbar Insertadatumcurve to enter MenuManager, click FromEquation, confirm, select the default coordinate system PRT_SYS_DEFCylindrical (cylinder coordinate system, involute equation is relatively simple with polar coordinates), in the pop-up editor The input relationship r=rb/(2cos(45t))=tan(45t)180/-45t)z=0(1) The relational expression (1) represents that an involute in the 45-angle angle is generated in the FRONT plane, where: t varies between 01.
2) Mirror the involute generated above. The arc length between the two involutes corresponds to a central angle of 360/(T2). After the steps 1.2.2 and 1.2.3 are completed, they are shaped as shown.
The spiral is generated by making two spirals starting from the intersection of the base circle and the two involutes. Still using the mathematical equation to generate two spirals, the cylinder coordinate equations are as follows: r = rb / 2 = t360Wtanb / (2rb) b base circle helix angle z = tW and r = rb / 2 = t360Wtanb / (2rb) -2 (360/T4)-p pitch circle spiral angle z=tW standard helical gear shape modeling to generate gear body, adding relationship: solid diameter = tooth tip diameter parameter.
1) Variable cross-section scanning cuts off the interdental portion. Command: Insert enters the variable section scan mode: In the References menu, select 1.2.6 to generate one of the spiral lines as the Origin line, and the other as the X trace line, and specify the normal direction of the scan section unchanged; select the CostantSection option in Options. That is, during the scanning process, the scanning section moves along the Origin line and the X trajectory, but the cross-sectional shape remains unchanged. Draw the shape of the interface between the helical gear teeth, select the involute curve and the root transition curve drawn by 1.2.3 as the section boundary. After completing the section drawing, determine the exit section drawing. Generate an entity by pressing the indicator. The form of the transition curve is as shown.
The root transition curve (a) is a transition curve when the number of teeth is greater than 2.5 cos/(1-cost). In this case, there is an involute in the root circle. Among them are the helix angle and the t end pressure angle. Its parameter relationship is pf=c/(1-sin)=cm/(1-sin)a=mcm-pfb=m/4-mtan-pfcos where: c is the standard headspace coefficient, m is the modulus, is the pressure Corner (the same below).
(b) is the transition curve when the number of teeth is less than 2.5cos/(1-cost). In this case, the radius of the base circle is larger than the radius of the root circle, there is no involute curve in the base circle, and the transition curve is a circular arc line. Its parameter relationship pf=(m/4-mtan)/cosa=m-(/4-tan)mtan2) replicates the previous scan feature. EditFeatureOperationsCopyMove, Select, IndependentDone selects the feature generated in the previous step DoneRotateCrv/Edg/Axis selects the A_1 axis Okay input value: 360/TDoneMoveDone.3) Pattern to copy the feature in the previous step. Click on the PatternTool to enter the Pattern mode. In Demension, select the angle of the previous step around the A_1 axis rotation. The value of the array = T-1.
Press the deterministic to generate the gear entity. The feature of adding the center hole of the gear, the keyway and the like is a complete involute helical gear. The dynamic simulation of the gear mechanism simulates the steps of gear and mechanism simulation with a pair of gear motion simulations. When there are multiple pairs of gears in the mechanism, only the steps are repeated. The motion simulation steps of the gear mechanism are as follows: 1) The pair of meshed gears are assembled with a pin connection type. The reference and reference axes are established for the center-to-center distance between the gears prior to assembly for easy alignment during assembly (as shown).
The pin-connected gear mechanism 2) enters the Mechanism to set the gear pair relationship (as shown). 3) Complete the setting of the servo motor according to the design conditions (as shown in 6). 4) Set the kinematics analysis by default and click the Run button for dynamic simulation (as shown). 5) Verify that the input and output speeds match the theoretical calculations. 6) Perform an interference check to analyze the cause of the interference. If it is caused by assembly, re-align the alignment; if it is caused by the design, repeat the above steps.
Conclusion This paper introduces the parametric design method of the gear mechanism in the Pro/E software environment. The methods and steps can be used for the parametric design of other parts. Editing the involute equation in the Pro/E software environment to obtain the helical gear profile is an accurate involute, and because of the parameterization of the modeling process, it is only necessary to modify the gear parameters such as gear modulus, number of teeth, pressure angle, and helix angle. It is possible to quickly build another gear mechanism and also carry out the dynamics of the mechanism. Moreover, the seamless interface between Pro/E software and Ansys software, the accurate gear model can make the dynamic simulation and finite element analysis of the gear mechanism get more accurate results.
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