Total meshing stiffness of inner and outer meshing pairs of Spur Planetary Gear System
(1) When the gear teeth are in the single tooth meshing area, the total energy u in the meshing pair […]
(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
In essence, stiffness excitation is a kind of parametric excitation based on the number of teeth. In the process of
The meshing frequency of gears refers to the meshing times of teeth in unit time. For NGW type planetary gear
From the point of view of vibration theory, gear transmission system is more complex than ordinary mechanical system, and the
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
Because of its unique advantages, planetary gear transmission system has been widely used in industrial and agricultural production, but its
In recent years, with the continuous development of mechanical vibration theory, the research on mechanical system at home and abroad
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
Considering that the test system is more complex, it is affected by many objective factors such as the accessories of
The physical quantity measured in the test is mainly the radial vibration of the rotor in the sealing tester. Therefore,
The number of planetary gears is n = 3, the comprehensive meshing error amplitude is e = 10 μ m,
The sealed rotor system considering gear meshing characteristics is a complex mechanical system composed of gear pairs, rotors, seals and
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
The reason why the contact seal can play a sealing role is that the contact between the seal and the
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
From the point of view of vibration theory, gear transmission system is more complex than ordinary mechanical system, and the
As shown in the figure is the translation torsion coupling dynamic model of the spur gear transmission system established in
In essence, stiffness excitation is a kind of parametric excitation based on the number of teeth. In the process of
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
In recent years, with the continuous development of mechanical vibration theory, the research on mechanical system at home and abroad
As shown in Fig. 1, the sketch of gear meshing pair with backlash is used to reserve the side clearance
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
1 Experiment description The main body of the experiment is the eight speed automatic transmission under development. The experiment is
1 Gear matching scheme In order to analyze the influence of the number of teeth, the number of planetary gears
(1) The distribution model of the frequency band law of planetary gear system is established, which mainly considers the number
Under gear 1-8, the load-sharing coefficient of the loaded planetary row is shown in the figure, in gear 1-4, the
(1) Ring gear root strain test principle Eight teeth are selected as measuring points on the end face of ring
Taking single-stage planetary gear drive as test object, vibration characteristics test is carried out on the special test bench for
For involute spur fixed-shaft gear drive and planetary gear drive respectively, a non-linear dynamic engagement model including dynamic backlash and
For the fixed shaft gear drive, the design parameters of each gear pair are different, the period of meshing stiffness
For involute spur gear drive and planetary gear drive, the yaw-torsion coupling non-linear dynamic model including the dynamic changes of
The main difference between the three-dimensional dynamic model of the sun-planetary gear and that of the fixed-shaft gear drive is
The three-dimensional solid model of the Involute Spur Planetary gear drive is shown in the figure, and the assumptions used
Assemble the parts in SolidWorks to form an assembly of helical gear limited-slip differential with locking function as shown in
The meshing frequency and its double frequency of each pair of wheels constitute the main vibration excitation components of the
The dynamic load of the system is calculated when the speed is 500r / min and the load is 500N
Planetary gear drive is widely used in various industrial fields due to its large power weight ratio, high load-carrying capacity
Double planetary gears are used in NW and NGWN planetary transmissions. For a planetary transmission with double planetary gears, in
Transmission principle of this kind of planetary transmission. According to its meshing characteristics, it belongs to NGW type, which is
Planetary gear transmission is an advanced gear transmission device. Compared with fixed shaft gear transmission device, it has the advantages
Because the single row planetary gear mechanism has two degrees of freedom, it has no fixed transmission ratio and can
1.Basic structure of planetary gear mechanism There are many types of planetary gear mechanism, the simplest of which is composed
Involute planetary gear reducer is a kind of gear transmission with at least one gear moving around a fixed geometric
Through the analysis of the above three kinds of transmission relations, the kinematic characteristics of simple planetary gear mechanism can
According to the law of conservation of energy, the algebraic sum of the input and output power of the three