3D geometric model of helical gear
Taking the gear pair in gear parameters as an example, the three-dimensional geometric model of four groups of gear pairs […]
Taking the gear pair in gear parameters as an example, the three-dimensional geometric model of four groups of gear pairs […]
According to the specific parameters, the number of planetary gears is n = 3, the comprehensive meshing error amplitude is
The above characteristics of MATLAB make it have a strong advantage in solving differential equations. It provides seven kinds of
At present, there are mainly analytical method, numerical method and experimental method to solve the dynamic analysis model of mechanical
Because the transmission and seal tester is connected by rigid coupling, the dynamic model of the system is shown in
In the process of helical gear transmission, the tooth surface contact deformation is caused by sudden change load, and the
Based on the independent analysis of planetary gear transmission system and sealed rotor system, the two parts are integrated, and
According to the equivalent dynamic model shown in the figure, the dynamic differential equation of the system can be deduced
According to the structural characteristics of each component in the system, a multi degree of freedom equivalent dynamic model of
Before the study of the system, firstly, the system is simplified, and the sealed runway and rotor are regarded as
For the rotor with seals, when the rotor is running at high speed, some characteristics of the seal will affect
The rotor with contact seal is taken as the research object. The system is composed of rotor shaft, seal track,
As shown in the figure, the relative position relationship of each gear is in the meshing state. (1) Projection of
In order to analyze the dynamics of the system, firstly analyze the acceleration of each component in the planetary gear
The model of gear transmission system is the expression of system mechanics and mathematics, and is the basis of gear
Damping is an important introduction in the study of gear system dynamics. Because the damping value of gear system meshing
In the process of actual processing and installation of gears, it is inevitable to produce a variety of errors. These
(1) When the gear teeth are in the single tooth meshing area, the total energy u in the meshing pair
In the picture: RR — pitch circle radius; RRB — radius of base circle; RRF — root circle radius; φ
In the picture: RB — radius of base circle; RF — radius of tooth root circle; Bending stiffness Kb: Shear
According to Hertz law, the elastic compression of two isotropic elastic bodies can be described by two projectile near the
As shown in the figure is a sketch of the gear meshing pair with backlash. Its function is to reserve
The meshing phase relationship of planetary gears can be determined according to the position angle of planetary gears and the
The meshing frequency of gears refers to the meshing times of teeth in unit time. For NGW type planetary gear
As shown in the figure is the structural diagram of the straight gear planetary gear transmission system. The planetary carrier
The FH hypoid gear is still used as an example, and the basic parameters of the gear used in the
According to the definition of tooth surface error in Chapter 4, it is used to represent the error between the
The position of the instantaneous center of motion in the inertial system can be kept unchanged and the transmission is
In order to obtain the ideal conjugate surface of the small wheel, according to the theory of the big wheel,
In addition to the change of cutter and cutter head parameters, the change of machine tool setting parameters will also
Preset transmission error curve The vibration and noise generated by gear meshing mainly come from the transmission error of gear,
The influence of five parameters of cutter and cutter head on the tooth surface is analyzed, including tooth profile angle,
90 points are selected to reflect the overall error of the tooth surface. 9 points are evenly distributed in the
According to the hypoid gear model, the sensitivity of tooth surface errors at different positions to various machining parameters is
As the tooth surface of FH hypoid gear is relatively complex, it is difficult to mesh directly on the tooth
According to Hertz contact theory, the elastic deformation of tooth surface increases with the increase of contact stress when the
The modeling method of FH hypoid gear is shown in Fig. 1 The two tooth surfaces are assembled in the
After meshing, the preprocessing file is imported into ABAQUS and set as follows: (1) Material definition: the material parameters of
The physical quantity measured by the sensor is the radial vibration acceleration signal of the rotor in the sealing tester,
Considering the gear meshing characteristics of the seal rotor system dynamic characteristics test device, the actual photos and overall structure
The detailed steps of solving the elliptic boundary and contact line of the instantaneous contact between two tooth surfaces based
The number of planetary gears is n = 3, the comprehensive meshing error amplitude is e = 10 μ m,
The rotor with contact seal is taken as the research object. The simplified model is shown in Fig. 1. The
The planetary gear transmission system studied in this paper has fixed inner gear ring, planetary carrier and sun gear as
As shown in the figure, the relative position relationship of each gear is in the meshing state. (1) Projection of
As shown in the figure, the relative position relationship of each gear is in the meshing state. (1) Projection of
In order to carry out dynamic analysis of the system, this section first analyzes the acceleration of each component in
As shown in the figure is the translation torsion coupling dynamic model of the spur gear transmission system established in
The model of gear transmission system is the expression of system mechanics and mathematics, and is the basis of gear
Damping is an important introduction in the study of gear system dynamics. Because the damping value of gear system meshing
The meshing phase relationship of planetary gears can be determined according to the position angle of planetary gears and the
In the process of actual processing and installation of gears, it is inevitable to produce a variety of errors. These
According to Hertz law, the elastic compression of two isotropic elastic bodies can be described by two projectile near the
As shown in Fig. 1, the sketch of gear meshing pair with backlash is used to reserve the side clearance
Face milling (FM) and face hobbing (FH) are widely used in machining bevel gears, hypoid gears and other complex curved
The meshing frequency of gears refers to the meshing times of teeth in unit time. For NGW type planetary gear
As shown in the figure is the structural diagram of the straight gear planetary gear transmission system. The planetary carrier
In terms of theoretical analysis, the theoretical basis of gear system dynamics has gradually developed from the earliest impact theory
The imaginary profile wheel is composed of the path of the blade in the virtual machining process, and the number
The surface roughness Ra near the ablation pit can objectively reflect the micro geometric characteristics of the ablated material surface.