Transmission Study of Planetary Gear Mechanism Based on Matrix Theory

2013 ◽  
Vol 440 ◽  
pp. 243-247
Author(s):  
Qing Hua Zhao ◽  
Xin Ping Wu ◽  
Bing Hao Shu
Keyword(s):  
Mathematical Model ◽  
Matrix Theory ◽  
Automatic Transmission ◽  
Planetary Gear ◽  
Torque Transmission ◽  
Transmission Study ◽  
The Matrix ◽  
Gear Mechanism ◽  
The Mathematical Model ◽  
Planetary Gear Mechanism

According to the characteristic formula of planetary gear transmission, by studying the movement and torque transmission of planetary gear mechanism of Automatic Transmission, this paper presents a new method of transmission analysis by use of the matrix. The method established the mathematical model about the coupling form and shift constraint and torque transmission between the planetary lines based on matrix theory. It is generally applicable to the movement and torque calculation of complex planetary gear mechanism.

GEOMETRY AND SIMULATION OF THE GENERATION OF CYLINDRICAL GEARS BY AN IMAGINARY DISC CUTTER

2009 ◽  
Vol 33 (3) ◽  
pp. 411-428
Author(s):  
Shyue-Cheng Yang ◽  
Tsang-Lang Liang
Keyword(s):  
Mathematical Model ◽  
Planetary Gear ◽  
Disc Cutter ◽  
Gear Pump ◽  
Generation Process ◽  
Cylindrical Gears ◽  
Simulation Process ◽  
Gear Mechanism ◽  
The Mathematical Model ◽  
Planetary Gear Mechanism

This paper proposed a method of representing the geometry of an imaginary disc cutter in parameter form. The undercutting condition of the imaginary disc cutter is studied, and the mathematical model of the generated gears is developed by the undercutting condition of the cutter. Through a mathematical model of the generation process, the vector equations of generated gears are established. According to the proposed method, a planetary gear mechanism and a pair of gear pump with smaller numbers of teeth are illustrated. A cutting simulation process is presented for machining the proposed gear pairs. Stress analysis for the proposed gear mechanism is performed. Finally, the proposed method is applied to determine singular points of the proposed disc cutter.

scholarly journals Development of a mathematical model of dynamic characteristics of a drive with a planetary mechanism

2021 ◽  
Vol 258 ◽  
pp. 08022
Author(s):  
Erkin Nematov ◽  
Mukhiddin Khudjaev ◽  
Botir Khasanov
Keyword(s):  
Mathematical Model ◽  
Dynamic Characteristics ◽  
Electric Motor ◽  
Equations Of Motion ◽  
Planetary Gear ◽  
Gear Teeth ◽  
Mechanism Research ◽  
Gear Mechanism ◽  
The Moment ◽  
Planetary Gear Mechanism

The article is devoted to the development of a mathematical model of dynamic characteristics of a drive with a planetary gear mechanism. The subject of research is a drive with a planetary gear mechanism. The following issues were considered in the article: the synthesis of a planetary gear mechanism; the development of a mathematical model that describes the dynamic characteristics of the system; the determination of the dynamic characteristics of a drive with a planetary gear mechanism. Research is based on the method of determining the number of gear teeth; the method of determining the kinetic energy of the James gearbox; the method of determining the dynamic characteristics of an electric motor. The possible number of satellites is given in the article; the pitch radii of the wheels for a given modulus are defined; the moment of inertia of the mechanism reduced to the movable central wheel is determined; a mathematical model of the motion of a drive with a planetary gear mechanism is developed. Equations of motion of a drive with a planetary gear mechanism were obtained. Assuming, in a particular case, all the links of the drive with the planetary gear mechanism as rigid links, a mathematical model was developed for this system, considering the dynamic characteristics of an electric motor. A mathematical model was developed that describes the dynamic characteristics of the system. Analytical solutions for the developed mathematical model are given.

USING DOUBLE ENVELOPE METHOD ON A PLANETARY GEAR MECHANISM WITH DOUBLE CIRCULAR-ARC TOOTH

2008 ◽  
Vol 32 (2) ◽  
pp. 267-282 ◽  
Author(s):  
Chun-Fang Tsai ◽  
Tsang-Lang Liang ◽  
Shyue-Cheng Yang
Keyword(s):  
Mathematical Model ◽  
Planetary Gear ◽  
Ring Gear ◽  
Circular Arc ◽  
Distance Error ◽  
Planet Gear ◽  
Gear Mechanism ◽  
Double Envelope ◽  
Center Distance ◽  
Planetary Gear Mechanism

A geometric model and mathematical model of planetary gear mechanism with double circular-arc teeth is determined using the imaginary rack cutters and double envelope concept. The mathematical model of a ring gear with double circular-arc teeth in a second envelope has been developed. In this paper, the conditions of the gear meshing and contact load of the gears are simulated by assembly errors. The goal of the stress analysis is to determine the contact stress on the planet gear and ring gear, and planet gear and sun gear. Given the assembly errors of the planetary gear mechanism including center distance error and mis-aligmment error, the maximum von-Mises stress in the planetary gear mechanism with double circular-arc teeth is analyzed using visualNastran desktop package. It is found that the center distance error is more critical to mis-alignment error.

The Design of Transmission Scheme of the 6-Speed Automatic Transmission Based on the 01N Automatic Transmission

2012 ◽  
Vol 605-607 ◽  
pp. 1217-1223 ◽  
Author(s):  
Ming Fu You ◽  
Qiang Wen ◽  
Ming Feng Zheng ◽  
Zhi Wei Li
Keyword(s):  
Fuel Economy ◽  
Automatic Transmission ◽  
Planetary Gear ◽  
Transmission Mechanism ◽  
Power Performance ◽  
Transmission Scheme ◽  
In Series ◽  
Gear Mechanism ◽  
Planetary Gear Mechanism

The power performance and fuel economy could be improved by increasing the shift. The 01N automatic transmission was a Navgneaus planetary gear mechanism with four forward gears, and the 6-speed transmission scheme was achieved by the planetary in series with the Navgneaus planetary gear mechanism. The original lever method was expanded for its limitation, the 6-speed transmission mechanism can be analyzed perfectly by the expanded lever method. The lever method was validated accurate and feasible.

Precise and High Response Measuring Method of Meshing Force of Planetary Gear Mechanism

2012 ◽  
Vol 516 ◽  
pp. 469-474
Author(s):  
Yuta Morimoto ◽  
Toshiki Hirogaki ◽  
Eiichi Aoyama ◽  
Yasuhiro Uenishi
Keyword(s):  
Electric Vehicles ◽  
Automotive Industry ◽  
Differential Rotation ◽  
Planetary Gear ◽  
Measuring Method ◽  
Power Source ◽  
Hybrid Vehicles ◽  
Gear Noise ◽  
Gear Mechanism ◽  
Planetary Gear Mechanism

Recently, technology for electric vehicles (EV) and hybrid vehicles (HEV) has been focused on by the automotive industry to address environmental problems including CO2 reduction [. In particular, in HEV, planetary gears are used to control differential rotation of the motor, engine and generator. For these vehicles, the noise level inside the vehicle is low because the motor is used as the main power source. As a result, further decrease of gear noise is desired compared with the conventional planetary gear mechanism. However, research into the gear noise of the planetary gear mechanism is extremely scarce. Therefore, in this study, we focus on the three axes of I/O rotation, and a new method of measuring the meshing force of the planetary gear mechanism. In this report, a gear-driving device, which is able to make 3-axis differential rotation, was designed for experimentation.

S1120101 Research on durability of ultra-micro reduction gear using mechanical paradox planetary gear mechanism

2015 ◽  
Vol 2015 (0) ◽  
pp. _S1120101--_S1120101-
Author(s):  
Michimasa UCHIDATE ◽  
Kentaro SATO ◽  
Katsuya KOUNO ◽  
Yuuji OGAWA ◽  
Shigeko SASAKI ◽  
...  
Keyword(s):  
Planetary Gear ◽  
Reduction Gear ◽  
Gear Mechanism ◽  
Planetary Gear Mechanism

Research of Self-Locking in 2K-H type Planetary Gear Mechanism with External Gears

2000 ◽  
Vol 2000.2 (0) ◽  
pp. 433-434
Author(s):  
Kazuteru NAGAMURA ◽  
Tuneji YADA ◽  
Kiyotaka IKEJO ◽  
Kensei OOTA ◽  
Yoshiya KAGARI
Keyword(s):  
Planetary Gear ◽  
Gear Mechanism ◽  
Planetary Gear Mechanism
Sign in / Sign up

Export Citation Format

Share Document