Optimization objective function of single stage double circular arc spiral bevel gear
The single-stage nutation reducer is designed with the radial size less than 108 mm, the transmission power of 20 kW […]
The single-stage nutation reducer is designed with the radial size less than 108 mm, the transmission power of 20 kW […]
The wobble of a coin on the table before it stops is nutation. A nutation transmission mechanism is formed by
Figure 1 and Figure 2 show the frequency domain diagram of angular acceleration of driven wheel after modification. It can
Helical gears are meshed at the same time in the process of meshing. When studying the dynamic problem of gear
Transmission error is an important index of gear transmission performance. Transmission error refers to the difference between the actual position
Worm machining helical gear is mainly realized by changing the center distance between cutter and gear along the tooth width
As shown in Fig. 1, the tooth surface of the modified helical gear obtained by changing the center distance is
The phenomenon of tooth surface twist refers to the torsion of tooth surface along the direction of tooth width. As
Worm or hob machining helical gear coordinate system is shown in the figure, S1 is worm or hob coordinate system,
The rationality of the proposed method is verified by the nonlinear vibration reliability analysis of a pair of standard spur
In practical engineering, the stochastic response of gear nonlinear vibration is difficult to be characterized by Gaussian random process or
According to the stiffness characteristics, there is a certain difference between the multi-stage gear transmission and the general gear transmission.
Under the influence of random factors, all kinds of nonlinear vibration responses of gears can be regarded as random processes.
The lumped mass method is used to establish the nonlinear vibration model of single degree of freedom gear transmission as
Optimize design variables The multi-stage gear reducer has the characteristics of complex structure. Considering the installation environment and conditions of
The integral time range of solving differential equations is 300tm. In order to solve this problem, it is necessary to
Under the same parameters, the author calculates the tooth thickness deviation of different tooth line radii in the same section,
When m = 4, z = 31, RT = 100 mm, 200 mm, 300 mm, 400 mm, respectively, measure the
The main structural design parameters of circular arc gear include pressure angle, tooth width, tooth radius, modulus, etc. Since there
The profile characteristics of circular arc cylindrical gear have important influence on gear design, tooth profile modification, lubrication, strength, etc.
In order to establish the accurate three-dimensional model of cylindrical gear with circular arc tooth profile and study the tooth
The forming principle diagram of cylindrical gear tooth surface with circular arc tooth line processed by parallel linkage mechanism is
The instrument model used for ultrasonic flaw detection is cts-1002 digital ultrasonic flaw detector. As the diameter of steel is
The lumped parameter method and ADAMS software are used to model and solve the dynamics of the same research system.
According to the above analysis, before the simulation starts, the relevant parameters are set, and the corresponding settings are carried
In ADAMS simulation software, for any mechanical system with motion constraints, the first Lagrange equation with Lagrange multiplier is used
In ADAMS, the meshing between gear and gear is simulated by contact pair and collision contact force. Therefore, ADAMS simulation
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