Three dimensional meshing simulation of gear hob and spur gear tooth surface
Without considering the installation error Σ e of the shaft intersection angle Σ, the helix angle of spur gear β […]
Without considering the installation error Σ e of the shaft intersection angle Σ, the helix angle of spur gear β […]
The gear meshing principle, namely the conjugate surface principle, is the basic method to study the contact transmission of two
From the three-dimensional meshing model of gear hob and gear, it can be assumed that each point on the gear
The stroke load curve of the die in the general forging process of the spiral bevel gear blank is shown
During gear hobbing, the hob axis and gear axis must meet a certain axis intersection angle. The installation axis intersection
According to the parameters of spur gear, the indexing circle radius R2 of spur gear is: Where: M2 — modulus
The CAD two-dimensional drawing of the upper and lower molds is shown in Figure 1. 1.Mold geometric model establishment According
Taking the initial forging temperature of spiral bevel gear as 1000 ° C, 1050 ° C and 1100 ° C
In the DEFORM-3D post-processing function, the time-dependent curves of the equivalent stress-strain and temperature at a certain point of the
The pressure equation at any point on the spur tooth surface of the cylindrical gear α , The expanded length
Through the stress-strain analysis and temperature analysis of the spiral bevel gear blank after hot forging, we know that the
1、 Establishment of geometric model Using pro/e4.0, the geometric model of extrusion process is established, including the geometric model of
Due to the problems in the free forging process of the cutting block, other forming methods are considered to replace
The forging process of driving spiral bevel gear blank also includes four steps: heating, drawing, die forging and trimming. That
The equivalent stress distribution of spiral bevel gear blank during final forging is shown in the figure. The maximum stress
Spur cylindrical gear coordinate system: SG, (OG: XG, YG, ZG) take the center of spur cylindrical gear as the origin
1、 Metal flow law in extrusion process The metal velocity vector diagram of each stage of extrusion forming process is
According to the actual meshing sequence of the helical gear, the overall error curve of the unit helical gear pair
The metal velocity vector diagram of each stage in the forging process of spiral bevel gear blank is shown in
Based on the gear hob coordinate system: SW, (ow: XW, YW, ZW), the involute helicoid model of gear hob is
In order to study the relationship between vibration and stiffness, the meshing stiffness and frequency spectrum of different modified tooth
The metal velocity vector diagram of each stage in the upsetting process of spiral bevel gear blank is shown in
The contact pressure history curve during helical gear meshing is shown in Figure 1. It can be seen that the
Based on the selection of basic worm, it is determined that the gear hob selected in this subject is involute
For high-precision hypoid gear pairs, in order to increase the actual coincidence degree after loading, the design of large inclination
The meshing of helical gears can be regarded as line contact, and the load changes and distributes along the contact
1. Law of equivalent stress and time change during helical gear meshing The variation law between the dynamic contact equivalent
The spiral bevel gear blank is set as a plastic body. Determination of initial forging temperature of spiral bevel gear
Through the measurement of the straight bevel gear split blank with the coordinate measuring instrument, it can be found that
The overall error curve of helical gear is a complete error curve of helical gear, which is formed by measuring
According to the meshing theory and installation relationship of hyperboloid gear, the gear tooth surface is regarded as an imaginary
Increase the speed of helical gear from 25rad / s to 35rad / s, and keep the torque unchanged. Using
When machining and manufacturing gear hobs, there is an error between the generating surface of gear hobs and the theoretical
Before machining the straight bevel gear to split the wheel blank, first measure the flatness of the upper and lower
Because the coincidence degree of helical gear is not an integer, its meshing transmission process is alternating between single and
(1) Equivalent stress nephogram of helical gear at 0.0025s It can be seen from Fig. 1 that the contact stress
The load distribution along the contact line is affected by the position and length of the helical gear contact line.
(1) Through analysis, it can be seen that there is no mechanism to determine the size of helical gear drum
The machining error of gear is determined by the process error factors of machine tool, cutting tool, wheel blank and
According to the structural characteristics and the complexity of the tooth profile of the split straight bevel gear, the vertical
The alignment of gear hob refers to the coincidence degree between the symmetry axis of any tooth (or groove) of
Ensure that the diameter of the spur gear is 3600mm, change the modulus of the spur gear to make it
Figure 1 shows the influence curve of friction on the second-order superharmonic resonance. With the increase of friction, the vibration
As shown in the figure, the dynamic contact equivalent stress of helical gear and the history curve changing with time
Nephogram of contact pressure during helical gear meshing: It can be seen from Figure 1 that the contact pressure is
The load distribution rate of spur gear in the double tooth meshing area near the root of the tooth is
During gear hobbing, the gear hob axis and workpiece axis must conform to a certain axis intersection angle. Therefore, the
Helix angle is an important structural parameter of helical gear, and it is also the main factor causing time-varying contact
The simulation process of helical gear dynamic contact has been introduced in detail before. The mesh division is also divided
By changing the thickness of spur gear split wheel blank and carrying out finite element analysis on spur gear blank
The dynamic characteristics of the main influencing factors of helical gear vibration and noise are studied. Considering the dynamic characteristics
Helical gear accuracy mainly controls the transmission accuracy between helical gears during operation, such as transmission stability, instantaneous speed fluctuation,
Pressure nephogram during helical gear meshing: It can be seen from figures 1 to 4 that when two helical gears
The elastic potential energy u formula of spur gear teeth is written as: Where: ux – bending potential energy; un
Gear hob is one of the most widely used high-efficiency gear machining tools. As shown in Figure 1, it is
In fact, the helical gear is installed on the support shaft. When the gear teeth transmit power through the support
The provided helical gear parameters are substituted into the algorithm in this paper. The comparison of calculation results is shown
The simulation results show that the deformation of the split gear is related to the thickness. In order to determine
Figure 1 shows the influence curve of helical gear tooth surface friction coefficient on dominant frequency resonance. It can be
In recent years, the academic circles have made great progress in the research of helical gear modification methods. The modification