The elastic deformation analysis and time varying meshing stiffness (TVMS) calculation of spur gears have long been important and difficult […]
Extract the theoretical rotation angle of the driving wheel within 0.17s-0.175s of the stable stage of the spur gear pair
Based on the model in Figure 1, the center distance deviation is set to 0.06 mm, the rotational speed n
The vibration reduction and noise reduction of cylindrical spur gear transmission has always been a focus of attention in the
Because the range method cannot derive the contribution of each factor to the evaluation index, it is also necessary to
Perform Fourier transform on the meshing force curve of the spur gear pair in Figure 1 to obtain the spectrum
Based on the graph model, the finite element models of spur gear pairs with center distance deviations of 0 mm,
Through dynamic simulation and orthogonal experimental design of spur gears, the influence of slot hole structural parameters on the vibration
Gear Number of teeth z Modulus m/mm Modification coefficient x pressure angle α (/ °) Tooth top height coefficient hα*
In recent years, with the popularization of electric vehicles, the requirements for vibration and noise performance of spur gear transmission
The vibration response of spur gear pairs during meshing varies with boundary conditions. This section establishes a finite element model
The angular acceleration amplitude at the meshing frequency is taken as the evaluation index of the system, and the angular
Since the rigid body shell of the inner ring of the spur gear driving wheel is fully constrained, the theoretical
Extract the theoretical rotation angle of the driving wheel within 0.17s-0.175s of the stable stage of the spur gear pair
The total meshing force F of a spur gear pair in the direction of the meshing line can be expressed
The main excitation in a spur gear pair system comes from gear tooth meshing. When the meshing frequency of the
In order to study the impact of different center distance deviations on the stiffness of a gear tooth during a
The time-varying meshing stiffness of spur gears is one of the main factors that cause impact and noise in spur
Gear hobbing is widely used in the manufacturing industry to produce high-quality straight cylindrical gears and helical cylindrical gears. Like
Take the traction spur gear of a certain type of locomotive as an example to calculate the actual coincidence before
When the spur gear teeth enter the double-tooth meshing area, the two pairs of teeth theoretically contact at the same
Vibration characteristics of spur gear pair based on the randomness of error and tooth surface friction: (1) Using the method
With the development of spur gear transmission system towards high speed and high power density, how to solve vibration and
Ideally, the meshing form of spur gear pair is shown in Figure 1. It can be seen that one end
The large number of studies have proved that dynamic excitation is the main cause of spur gear vibration, which is
(1) Time-varying meshing stiffness Because the gear teeth will produce elastic deformation when the gear is engaged, and the gear
Set the initial state of the spur gear pair to zero, set the rectangular peeling at the pitch circle of
The dynamic model of 8-DOF spur gear pair is established by Lagrange equation. The system equation is: Where: FM is
For tooth surface contact temperature: Δ T. Mainly determined by the temperature of spur gear body Δ M and tooth
It is assumed that the spalling fault shape of spur gear driving tooth surface is matrix (as shown in Fig.
Involute spur gear pair is widely used in modern mechanical system because of its excellent performance. The working performance of
Select a spur gear to calculate its stiffness. The reason why spur gear is selected as the research object is
From the previous analysis, as long as the elastic deformation of the gear teeth is obtained, the time-varying meshing stiffness
The dynamic excitation caused by the time-varying characteristics of meshing stiffness during gear meshing is called stiffness dynamic excitation of
Since the early 1970s, people have begun to use the finite element method to calculate the elastic deformation and tooth
1. Data preprocessing Because the point cloud data of the involute cylindrical spur gear measured by the three coordinate machine
According to the linear fatigue cumulative damage theory Miner theory, the stress amplitude of each stress level will cause certain
1. Verification of tooth profile shape in reverse engineering software The figure shows the tooth profile in the reverse engineering
Taking involute spur gear as an example, this paper explains the mapping, calculation and verification of involute spur gear. In
When the nominal stress method is used to calculate the contact fatigue of spur gear of reducer, it is mainly
The parameter verification of involute spur gear reverse engineering includes modulus, tooth shape angle, crown height coefficient, tooth root height
1. Determine the modulus, tooth profile angle, top height coefficient and tooth root height coefficient When determining the module, tooth
The primary link of physical reverse engineering is reverse engineering point cloud data acquisition, also known as the digitization of
In the driving process of electric vehicles, the gearbox is one of the main causes of vehicle noise. At this
Because the “cantilever beam” model is quite different from the real spur gear, the material mechanics method is difficult to
In the field of tooth bending strength calculation, the tooth bending strength formula including “tooth shape parameters” based on parabolic
Spur gear transmission is the most important transmission mode in mechanical equipment. It has the advantages of high transmission efficiency,
Take the center distance between the straight cylindrical gear hob and the straight cylindrical gear α Installation error e α=
Based on Mathematica software, draw the right tooth surface of one tooth of spur cylindrical gear, and combine the right
Gear as the core mechanical foundation. Despite the high requirements for the manufacturing and installation accuracy of gears, with the
According to the parameters of spur gear, the indexing circle radius R2 of spur gear is: Where: M2 — modulus
The pressure equation at any point on the spur tooth surface of the cylindrical gear α ， The expanded length
Spur cylindrical gear coordinate system: SG, (OG: XG, YG, ZG) take the center of spur cylindrical gear as the origin
Before the 1990s, the research and production of gear forging were mainly based on physical simulation. That is because the
The research on spur gear forging at home and abroad mainly focuses on the precision forging of spur gears. The
Ensure that the diameter of the spur gear is 3600mm, change the modulus of the spur gear to make it
The load distribution rate of spur gear in the double tooth meshing area near the root of the tooth is
By changing the thickness of spur gear split wheel blank and carrying out finite element analysis on spur gear blank
The elastic potential energy u formula of spur gear teeth is written as: Where: ux – bending potential energy; un
Figure 1 shows the meshing diagram of spur gear. Single tooth and double tooth meshing are carried out alternately. The
