Mathematical model of optimum design for bevel gear transmission mechanism
In the optimization design of bevel gear transmission mechanism, the minimum volume sum of bevel gear pair is taken as […]
In the optimization design of bevel gear transmission mechanism, the minimum volume sum of bevel gear pair is taken as […]
Firstly, the difference Δ n (that is, Δ n = N-N) between the minimum number of effective axial cutter teeth
In Figure 1, at the cutting end of the hob, although the hob teeth beyond the meshing length LM do
The analysis and calculation of the cutting edge length of hob is not important for the gear with medium and
The practice shows that using standard hob to gear hobbing this kind of gear with incorrect method may cause abnormal
In order to verify the superiority of fuzzy entropy in the fault classification of transmission gears, based on the gear
Suppose that the original time series of gear fault signal is: [x (n)] = x (1), X (2) Then the
Morphological wavelet is a non-linear extension of traditional linear wavelet based on mathematical morphology. Mathematical morphology and its related operators
Three dimensional crack models at different positions are established on the helical gear, and the stress intensity factor and J-integral
In order to study the effect of crack length on stress intensity factor and J-integral, the above semi elliptical initial
After the three-dimensional model of the gear is established, the material used in gear simulation is 17CrNiMo6, and then the
As shown in the figure, the maximum contact stress response curves of the tooth surface without pitting and with pitting
In order to analyze the three-dimensional crack model of helical gear root, a pair of three-dimensional helical gear models need
As shown in the figure, the DTE response curves without pitting and with pitting are drawn. Due to the periodic
According to the measured value of stress intensity factor, kmax and Kmin can be obtained, and the range of stress
The tooth surface pitting model can be established through the gear modification parameter module in Fig. 1. By defining the
If the stress state of the crack and the displacement direction of the crack surface are taken as the classification
In order to explain the influence of different deviation values on the contact line error and tooth profile of cylindrical
In the transmission process, the contact area on the traditional gear tooth surface is a space surface, and the accuracy
In the process of cylindrical gear form grinding, the tooth surface equation of the machined cylindrical gear can be determined
The machining coordinate system of cylindrical gear grinding with form grinding wheel is established, as shown in Figure 1. In
In the process of transmission, the contact line of the line gear is formed by the motion track of the
Rack and pinion actuator is the most commonly used pneumatic actuator. The middle of the cylinder is connected with the
When the input speed frequency is 10Hz, the displacement response of master-slave gear XP is selected as the analysis object.
From the point of view of simplification, because the gear shaft of C6136A lathe feed box is a stepped shaft,
Based on the introduction of the corresponding mathematical model and application scenarios proposed for the dynamic physical model of gear
In order to reduce the input of parameters in numerical simulation, the mathematical model of dimensional normal load is obtained
Before determining the speed of the gear shaft of the feed box, the speed of the main shaft must be
The loosening of the valve clamping part adopts the gear ring transmission mode. The gear ring transmission ratio is constant,
Firstly, the 3D complex model (such as chamfering and other details) is simplified in order to reduce the difficulty of
For each part of the design requirements should meet the size of the installation, power standards, long life and so
The results of finite element analysis show that: When the rotation angle of the input end is between 0.64 rad
The planetary gear hub of planetary gear output type planetary gear transmission system consists of six circumferential uniformly distributed transmission
Due to the manufacturing accuracy, installation error, lubrication requirement and space reserved for the thermal expansion of gear teeth, the
Lyapunov exponent represents the average exponential divergence rate of the distance between two adjacent trajectories in the phase plane with
1.Time varying meshing stiffness When the gear is in transmission, the meshing tooth pair alternates between 1 and 2, the
The research object of the model is a two-stage planetary gear system, and the system diagram is shown in Figure
For the variable hyperbolic arc gear, when the radius of the tooth line is small, the tooth profile surface of
When different loads are applied, the comprehensive elastic deformation of the tooth surface of the variable hyperbolic arc gear changes,
After the single tooth meshing stiffness is obtained, the double tooth comprehensive meshing stiffness curve can be obtained by the
The comprehensive elastic deformation UN of the pair of gear teeth is extracted by finite element post-processing, and the normal
An example is given to show the iterative process of the modification parameters. The tooth profile modification in this study
In order to accurately simulate the whole process of a certain tooth surface of the driving gear from entering meshing
In order to compare and display the data intuitively, the single logarithm coordinate drawing method is used to draw the
In order to calculate the stiffness of variable hyperbolic arc gear, it is necessary to calculate the normal contact force
According to the two-dimensional contour curve (formula) of rough surface expressed by W-M function, the morphology characteristics of rough surface
In this study, symmetrical straight line modification is used in the direction of tooth profile, and the modification curve is
According to the actual meshing process of gear pair, the interface of a pair of gear pairs is filled with
The principle of machining variable hyperbolic arc gear with rotating cutter head is shown in Figure 1. With double-edged cutting,
According to Lagrange equation, the dynamic differential equation of planetary transmission system can be deduced as follows Among them, JS,
The calculation process of the modification parameter calculation method mainly includes four steps: the first step is to obtain the
According to the forming principle of rotary cutter head, Zhao Fei et al. Verified mathematically that the middle section tooth
In order to ensure the continuous operation, the meshing process of gears is actually the alternating meshing of single pair
According to the characteristics of objective function and planetary gear design, constraints can be divided into flexible constraints and rigid
System dynamics simulation is to obtain the actual meshing state of each gear pair. The coupling dynamic model of the
The basic idea of using finite element method to calculate the time-varying meshing stiffness of gear pair is to discretize
According to the large power of tractor transmission system, higher requirements are put forward for the strength and service life
The parameters of gear pair are selected as the calculation object, and the contact stiffness of gear pair under Yang
According to the Hertz contact analysis theory, the geometric model of the contact end face of two cylinders as shown
In the following three steps, the formula of meshing force of single tooth is derived, which takes into account the