21-03-2012, 03:46 PM
involute SIGMA
sigma-sh(Eng).pdf (Size: 1.08 MB / Downloads: 155)
Introduction
involute Σ (Spur & Helical) adopted many customer requests from those who used conventional software, and the software was revised in May, 2000. In addition, 3D tooth form stress analysis software and 3D error analysis software was added in May, 2001. The latest involue Σ can output tooth form in 3D data, and it can observe the meshing line of contact of gear rotation continuously by tooth form rendering (see Fig. 1.1). Other new functions to obtain gear strength standards and infer optimum addendum modification coefficient were added.
Reasoning-2
The function of reasoning-2 decides the optimum addendum modification coefficient on the basis of specific sliding and meshing ratio. Fig. 1.6 graphs largest sliding ratio of pinion in red line, largest sliding ratio of gear in blue line, transverse contact ratio in green line. This case, an addendum modification coefficient of 0.2 of pinion is optimum tooth form, when it is judged from sliding ratio and contact ratio.
DXF and IGES File Output of Tooth Profile
It is possible to output the gear tooth profile by 2D, 3D-DXF and 3D-IGES files.
(1) The tooth profile output gives module shrinkage percentage and pressure angle correction factor for metal molds.
(2) The output tooth numbers can be set manually .
(3) The coordinate value is output to 8 decimal places.
Tooth Profile Rendering
3D tooth profile meshing can be drawn as in Fig. 1.12. The pinion rotates in 1 degree increments if the gear meshing step angle is 1; the pinion stands still if the gear meshing step angle is 0. The tooth profile direction can be freely changed, extended and reduced. Fig. 1.12 displays figure and setting screen from the gear side, and Fig. 1.13 displays figure from the pinion side. In meshing part of Fig. 1.12, line of contact can be observed.
Zero Class Gear
The involute plane of the gear tooth type is important, but the dedendum shape is important as well. The graph of Fig. 1.21 is a test result (both tooth surface meshing) of a tooth form that connected the root of tooth curve in optional R; Fig. 1.22 shows the test result of theoretical trochoid curve tooth form.
In the case of a basic generating motion, the tooth root shape is a semi-trochoid curve decided by ① pressure angle, ② basic rack dedendum, ③ dedendum R, ④ addendum modification, ⑤ teeth number. involute Σ outputs the theoretical tooth form curve.