Vibration characteristics of high speed helical gear transmission excited by time varying meshing stiffness
The dynamic model of an electric vehicle reducer is established, and the time-varying meshing stiffness curve and meshing impact curve […]
The dynamic model of an electric vehicle reducer is established, and the time-varying meshing stiffness curve and meshing impact curve […]
Taking a high-speed helical gear transmission of an electric vehicle as the research object, the structure diagram is shown in
Due to the mass and inertia of the gear, the meshing impact speed will produce meshing impact force. The size
From the above analysis, it can be seen that the gear error and the loaded deformation of the gear teeth
After solving the differential equations, the vibration acceleration of two teeth in each direction is synthesized into “the relative vibration
In the figure, OP is the center of the driving wheel, og is the center of the driven wheel, P
Using the improved LTCA method to calculate the time-varying meshing stiffness of gears is another high-efficiency and high-precision calculation method.
With the development of computer technology, the application of finite element method is more and more widely. Abaqus is used
Fig. 1 shows the experimental vibration acceleration signals of healthy gear and pitting gear. It can be seen from the
In order to further evaluate the influence of gear pitting failure on the dynamic response of gear system, the meshing
In order to qualitatively study the influence of meshing impact time on the vibration characteristics of helical gear transmission, the
The relationship between the tooth root bending strain and the gear meshing stiffness is deduced. Therefore, the meshing stiffness of
In order to study the vibration characteristics of single-stage helical gear transmission system under meshing impact excitation, the obtained meshing
The dynamic strain of tooth root measured by fiber Bragg grating sensor and piezoelectric strain sensor is analyzed. The dynamic
According to the definition of mechanics of materials: under the action of external force, the energy stored in elastic body
The gear tooth root dynamic strain measurement experiment is carried out on an industrial standard gearbox, which is installed on
The Coulomb friction model with time-varying friction coefficient is given and introduced into the dynamic model of gear system, in
In the tooth surface pitting fault simulation model, it is assumed that all the centers of pitting are distributed on
For the established dynamic model of gear system, the influence of sliding friction on tooth surface is considered in the
In this experiment, the tooth surface pitting only occurs on one tooth surface of the driven gear, and the tooth
Through the dynamic signal analysis system, the vibration characteristics of the gear system are tested, and the vibration states of
In this paper, the parametric vibration without backlash and the nonlinear vibration with backlash are studied respectively. The transmission system
According to the experiment, the system load is set at 5N.m, the input speed is 1120 r/min, 840 r/min, the
According to the test in experiment 2, the speed of three-phase variable frequency speed motor is set at 560 r/min
When the input speed is 560 R / min, the theoretical frequency component of gear vibration response is calculated by
Due to the contact stress during gear meshing, contact deformation will occur. The contact deformation δcb can be calculated according
The specific implementation process of vibration experiment is as follows: (1) Make preparations before the formal experiment. First, check that
The influence of different gear parameters on the vibration characteristics of the reducer variable speed integrated gear and the sensitivity
Figure a) shows the influence of load torque T2 on the rattling state of gears. It can be seen from
Since the early computer was not widely used, the method based on mechanics of materials to calculate the time-varying meshing
In the process of gear transmission, there is a deviation between the actual base pitch and the theoretical pitch due
The ratio of the amplitude Kr to the average value K0 in the formula is defined as the amplitude coefficient
In order to compare the time-varying meshing stiffness results obtained by the three calculation methods of material mechanics method, finite
In the figure, the gear teeth are divided into several segments by the idea of integral, and the shadow part
The variation law of gear vibration state with the eccentricity of reducer variable speed integrated gear is studied. Figure a)
Figure a) shows the influence of static error amplitude Er on gear slapping state. With the increase of static transfer
In the process of transmission of motion and power, gear teeth will have bending deformation, shear deformation and other elastic
Speed is one of the external load parameters in gear system. Under theoretical conditions, gear slapping behavior will be more
We discuss the dynamic characteristics of the dynamic response of gears in time domain and frequency domain in three different
Because the stiffness excitation and error excitation only select the first harmonic, the r = 1 of SSI = 0
This paper mainly analyzes the case of dynamic response model simulation 3. In this case, the stiffness excitation and friction
Since the gear tooth is simplified as a cantilever beam with variable cross-section, the stress distribution of the gear tooth
The transmission ratio of the reducer variable speed integrated gear is as follows: Where ε is the eccentricity. The expressions
This paper mainly analyzes the case II of dynamic response model, which only considers the influence of the increase of
The comprehensive meshing stiffness of gear is the elastic response of the comprehensive Meshing Effect of each pair of teeth
In the system of equations Si, the coefficient Zi of the steady-state response q is the unknown quantity to be
According to the energy method, the bending energy, shear energy and axial compression energy stored in gears can be expressed
This paper mainly analyzes the dynamic response model simulation case 1. That is to say, only the influence of gear
In the analysis methods of gear system dynamic response, time domain signal analysis method is the direct means to study
The sensitivity of parameters is very important to the dynamic design and optimization of gear system. There are three commonly
The time-varying meshing stiffness of gears is an important excitation source of gear vibration. Accurate calculation of the time-varying meshing
In the study of gear tooth surface pitting fault, the main shapes of pitting corrosion are rectangular pitting, elliptical pitting
In addition to the static transmission error, time-varying meshing stiffness and other internal excitation will affect the vibration of the
The torque of the driving gear and the internal force acting on the gear are given. In order to show
Figure a) shows the influence of the average value of gear meshing stiffness K0 on the response peak to peak
In order to study the influence of time-varying meshing stiffness and sliding friction force on the dynamic response of gear
Gear system dynamics is a discipline to study the dynamic behavior of gear system in the process of transmitting motion
The static transmission error is one of the main excitations in gear transmission. It can be seen from the figure
The eccentricity ε determines the variation range of the transmission ratio of the reducer variable speed integrated gear. The larger
Taking gear as the research object, starting from different research methods, through the establishment of gear system dynamic model, the