Dynamic characteristics of the planetary gear train excited by time-varying meshing stiffness in the wind turbine

2018 ◽  
Vol 25 (9) ◽  
pp. 1104-1112 ◽  
Author(s):  
Rui-ming Wang ◽  
Zhi-ying Gao ◽  
Wen-rui Wang ◽  
Yang Xue ◽  
De-yi Fu
Keyword(s):  
Wind Turbine ◽  
Dynamic Characteristics ◽  
Planetary Gear ◽  
Gear Train ◽  
Time Varying ◽  
Planetary Gear Train ◽  
Meshing Stiffness

Time Varying Meshing Stiffness of Cracked Sun and Ring Gears of Planetary Gear Train

2015 ◽  
Vol 772 ◽  
pp. 164-168
Author(s):  
Arif Abdullah Muhammad ◽  
Guang Lei Liu
Keyword(s):  
Gear Tooth ◽  
Planetary Gear ◽  
Mesh Point ◽  
Gear Train ◽  
Time Varying ◽  
Planetary Gear Train ◽  
Meshing Stiffness ◽  
Face Width ◽  
The Face ◽  
Applied Forces

The time varying meshing stiffness of normal and cracked spur gears of planetary gear train is studied by applying the unit normal forces at mesh point on the face width along the line of action of the single gear tooth in FE based software Ansys Workbench 14.5. The tooth deflections due to the applied forces at one mesh point are noted and a deflection matrix is established which is solved using Matlab to get net deflection and finally the meshing stiffness of gear tooth at particular mesh point. The process is repeated for other mesh points of gear tooth by rotating it to get meshing stiffness for whole gear tooth.

Dynamic Characteristics of Double Helical Planetary Gear Train With Tooth Friction

2015 ◽  
Author(s):  
Fengxia Lu ◽  
Rupeng Zhu ◽  
Haofei Wang ◽  
Heyun Bao ◽  
Miaomiao Li
Keyword(s):  
Degrees Of Freedom ◽  
Sliding Friction ◽  
Planetary Gear ◽  
Gear Train ◽  
Variable Step Size ◽  
Step Size ◽  
Planetary Gear Train ◽  
Gear Mesh ◽  
Meshing Stiffness ◽  
Nonlinear Dynamics Model

A new nonlinear dynamics model of the double helical planetary gear train with 44 degrees of freedom is developed, and the coupling effects of the sliding friction, time-varying meshing stiffness, gear backlashes, axial stagger as well as gear mesh errors, are taken into consideration. The solution of the differential governing equation of motion is solved by variable step-size Runge-Kutta numerical integration method. The influence of tooth friction on the periodic vibration and nonlinear vibration are investigated. The results show that tooth friction makes the system motion become stable by the effects of the periodic attractor under the specific meshing frequency and leads to the frequency delay for the bifurcation behavior and jump phenomenon in the system.

scholarly journals Global Analysis of a Planetary Gear Train

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Tongjie Li ◽  
Rupeng Zhu
Keyword(s):  
Periodic Orbits ◽  
Shooting Method ◽  
Global Analysis ◽  
Planetary Gear ◽  
Mapping Method ◽  
Gear Train ◽  
Planetary Gear Train ◽  
Long Term Stability ◽  
Meshing Stiffness ◽  
Study Results

By using the Poincaré-like cell-to-cell mapping method and shooting method, the global characteristics of a planetary gear train are studied based on the torsional vibration model with errors of transmission, time-varying meshing stiffness, and multiple gear backlashes. The study results reveal that the planetary with a certain set of parameters has four coexisting periodic orbits, which are P-1, P-2, P-4, and P-8, respectively. P-1 and P-2 motions are not of long-term stability, P-8 motion is of local stability, and P-4 motion is of global stability. Shooting method does not have the capacity of searching coexisting periodic orbits in a global scope, and it is easy to omit some periodic orbits which are far away from the main gropes of periodic orbits.

scholarly journals Effect of Tooth Profile Modification on Dynamic Tooth Load of Planetary Gear Train

2019 ◽  
Vol 2019 ◽  
pp. 1-20
Author(s):  
Jiaming Zhou ◽  
Fengyan Yi ◽  
Xiangyang Xu ◽  
Junbin Lai ◽  
Yanfang Liu ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Linear Time ◽  
Planetary Gear ◽  
Tooth Profile ◽  
Gear Train ◽  
Time Varying ◽  
Planetary Gear Train ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Deviation Factor

This paper aims at investigating the effects of tooth profile modification (TPM) on the dynamic response of planetary gear train (PGT). A numerical model is carried out to calculate two major excitation sources of PGT, time-varying mesh stiffness (TVMS), and transmission errors (TEs). On this basis, a linear time-varying dynamic model of a PGT considering TVMS, TEs, and TPM is developed. Dynamic deviation factor is further introduced to describe the dynamic response of the PGT. In this paper, TPM is only applied to the external meshes firstly. Effects of TPM parameters, such as amount of TPM, normalized modification angle, and modification curve, on the excitation sources and dynamic response of the PGT are discussed in detail. Subsequently, investigation on the effects of TPM only applied to internal meshes is conducted. Finally, with the aim to obtain the optimal TPM for the minimization of dynamic load of PGT in both external and internal gear meshes, the genetic algorithm (GA) is employed. This research may shed light upon design optimization of PGT with respect to improvement of vibration performance by means of optimized TPM.

The principles of selecting floating members of 2K-H planetary gears for load balancing design

2015 ◽  
Vol 231 (9) ◽  
pp. 1589-1598
Author(s):  
Tang Jinyuan ◽  
Liu Yang ◽  
Cai Weixing
Keyword(s):  
Load Balancing ◽  
Mechanical Model ◽  
Load Transfer ◽  
Planetary Gear ◽  
Gear Train ◽  
Planetary Gear Train ◽  
Vector Method ◽  
Planetary Gears ◽  
Meshing Stiffness ◽  
Manufacturing Errors

This paper studies the load balancing problems caused by manufacturing and assembly errors of 2K-H planetary gear train. Based on the geometric equivalent relationship and spring mechanical model of load transfer, the relations between the load balancing of planetary gears and the mesh clearance and meshing stiffness are derived. Besides, the vector method is also derived to calculate the meshing clearance which is a result of the deviation of the component center caused by manufacturing errors and assembly errors. On the basis of the meshing clearance calculation formulas, the balanced load structure based on floating members is analyzed, and the results show: 1) when the number of planet gears is [Formula: see text], the floating of the basic members can compensate for the errors of the planet wheels; 2) when the number of planet gears is [Formula: see text], the errors of the planet wheels cannot be compensated by floating the basic components, and the compensation can only be made through the floating of the planetary gear. In addition, a number of recommendations are proposed to improve the performance of the planetary gear train set.

Attenuation of Torsional Vibration in the Drivetrain of a Wind Turbine using a Centrifugal Pendulum Absorber

2021 ◽  
Vol 263 (3) ◽  
pp. 3545-3553
Author(s):  
Hyeongill Lee ◽  
Youkyung Han ◽  
Byeongil Kim
Keyword(s):  
Wind Turbine ◽  
Transfer Matrix ◽  
Dynamic Characteristics ◽  
Torsional Vibration ◽  
Vibration Reduction ◽  
Planetary Gear ◽  
Gear Train ◽  
Torsion Vibration ◽  
Modeling Techniques ◽  
The Matrix

The drivetrain of wind turbines consists of many complicated rotary elements such as planetary gear, parallel gear train, bearing etc. The drivetrain of the wind turbine are studied with many different modeling techniques in several works. However, the things come to complicated when considering a complete drivetrain of a wind turbine. In this study, the transfer matrix method will be utilized to analyze the torsional vibration of a sample wind turbine drivetrain. Each element in the drivetain of the sample wind turbine is modeled with a specific transfer matrix and the matrix for the whole drivetrain is derived by serial multiplications of individual matrices. Dynamic characteristics of the drivetrain are investigated with derived matrix. Then, the application of a centrifugal pendulum absorber(CPA) to the drivetrain to attenuate the torsional vibration in the system is studied. The transfer matrix for the CPA introduced in the previous study is used to determine the optimal configuration and location of the CPA. The CPA shows good performance on the torsion vibration reduction for the drivetrain of the sample wind turbine.

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