Torsional Vibration Analysis of a Hydrodynamic Split Torque Transmission

1967 ◽  
Vol 89 (4) ◽  
pp. 605-610
Author(s):  
D. A. Klokkenga
Keyword(s):  
Experimental Data ◽  
Torsional Vibration ◽  
Vibration Analysis ◽  
Equations Of Motion ◽  
Planetary Gear ◽  
Torque Converter ◽  
Transmission System ◽  
Engine Torque ◽  
Lagrange’S Equation ◽  
Torque Transmission

The steady-state torsional vibration for one mode of an engine transmission system was analyzed, and the analysis was verified by experimental data. The engine transmission system included a diesel engine, torque divider which consisted of a fixed housing, single-stage torque converter and a planetary gear set, and a dynamometer. The equations of motion are derived by an energy method (LaGrange’s equation) and a numerical solution of these equations is obtained with the aid of a digital computer. The analytical and experimental results agree when empirical values for torque converter damping are used.

Dynamics Equations of Planetary Gear Sets for Shift Quality by Lagrange Method

2008 ◽  
Author(s):  
Patinya Samanuhut ◽  
Atilla Dogan
Keyword(s):  
Equations Of Motion ◽  
Planetary Gear ◽  
Torque Converter ◽  
Vehicle Model ◽  
Lagrange Method ◽  
Engine Torque ◽  
Shift Quality ◽  
Planetary Gear Sets ◽  
And Shifts ◽  
Single Set

The equations of motion of planetary gear sets including pinion dynamics are derived using the Lagrange method. The Lagrange method provides a systematic procedure for derivation and yields a single set of equations that are valid for all gears and shifts for a given configuration. This procedure is applied to the coupled planetary gear set in GM Hydramatic 440 transmission. The planetary gear set equations along with a simplified engine, torque converter, friction elements and vehicle model are simulated for 2–3 and 3–4 shifts. The simulation results demonstrate that the equations derived for planetary gear sets can be used for studying shift quality.

scholarly journals Nonlinear Dynamic Analysis and Optimization of Closed-Form Planetary Gear System

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Qilin Huang ◽  
Yong Wang ◽  
Zhipu Huo ◽  
Yudong Xie
Keyword(s):  
Differential Equations ◽  
Closed Form ◽  
Dynamic Model ◽  
Total Mass ◽  
Nonlinear Differential Equations ◽  
Equations Of Motion ◽  
Planetary Gear ◽  
Transmission System ◽  
Gear Transmission ◽  
Gear Transmission System

A nonlinear purely rotational dynamic model of a multistage closed-form planetary gear set formed by two simple planetary stages is proposed in this study. The model includes time-varying mesh stiffness, excitation fluctuation and gear backlash nonlinearities. The nonlinear differential equations of motion are solved numerically using variable step-size Runge-Kutta. In order to obtain function expression of optimization objective, the nonlinear differential equations of motion are solved analytically using harmonic balance method (HBM). Based on the analytical solution of dynamic equations, the optimization mathematical model which aims at minimizing the vibration displacement of the low-speed carrier and the total mass of the gear transmission system is established. The optimization toolbox in MATLAB program is adopted to obtain the optimal solution. A case is studied to demonstrate the effectiveness of the dynamic model and the optimization method. The results show that the dynamic properties of the closed-form planetary gear transmission system have been improved and the total mass of the gear set has been decreased significantly.

scholarly journals Advanced Power Transmission System

2012 ◽  
Vol 23 (2) ◽  
pp. 191-207
Author(s):  
Rafea M. Abd El-Maksoud Rafea M. Abd El-Maksoud
Keyword(s):  
High Performance ◽  
Power Transmission ◽  
Automatic Transmission ◽  
Planetary Gear ◽  
Torque Converter ◽  
Transmission System ◽  
Present System ◽  
Power Splitting ◽  
Operating Modes ◽  
Power Transmission System

Different researches are adopted to modify and enhance automatic transmission by every means. Whereas, torque converter that represents the most important component in such transmission suffers from some problems that are not completely solved. In this paper, power transmission system is herein introduced as a unique power transmission system that is not affected by torque converter problems. This power transmission operates with power splitting concept and is composed of conventional torque converter connected to planetary sets. Three clutches are used to shift the operating modes and unique positive displacement hydraulic couplings are utilized to regulate performance in power paths. Also, a modified model used to predict torque converter performance is utilized with planetary gear kinetics to assess the transmission performance. Moreover, the present system operates with high performance. Unlike the automatic transmission that operates in line, the present system operates with infinity number of operational bands for each engine speed.

Modeling, calculation, and analysis of torsional vibration characteristics of the hydrodynamic transmission system in engineering vehicle

2021 ◽  
pp. 095440702110458
Author(s):  
Wenxing Ma ◽  
Dapeng Xie ◽  
Zhihao Wang ◽  
Zilin Ran ◽  
Chunbao Liu ◽  
...  
Keyword(s):  
Natural Frequency ◽  
Working Conditions ◽  
Torsional Vibration ◽  
Variable Stiffness ◽  
Torque Converter ◽  
Transmission System ◽  
Speed Ratio ◽  
Resonance Modes ◽  
Variable Damping ◽  
Vibration Simulation

According to the typical working conditions of a loader and considering the complexity of the working conditions, the hydrodynamic transmission powertrain system was modeled in this study. Because the hydrodynamic torque converter is a flexible fluid transmission component in the transmission system, this study proposes and establishes equivalent variable damping and equivalent variable stiffness models of the hydrodynamic torque converter. Based on this, a torsional vibration simulation model of the loader with variable damping and stiffness is proposed, and the frequencies and amplitudes of the torsional resonance modes of the transmission system varying with engine speed and hydrodynamic torque converter speed ratio are obtained. It is determined that the variable stiffness of the hydrodynamic torque converter has little effect on the natural frequency of the vehicle, and taking variable damping and stiffness as input, the natural frequency and resonance points of the transmission system can be calculated more accurately. The simulation modeling and calculation approach are experimentally verified, and the simulation results are valid and closer to the real resonance.

scholarly journals Loader power-split transmission system based on a planetary gear set

2018 ◽  
Vol 10 (1) ◽  
pp. 168781401774773 ◽  
Author(s):  
Chang Lyu ◽  
Zhao Yanqing ◽  
Lyu Meng
Keyword(s):  
Output Power ◽  
Fuel Economy ◽  
Power Transmission ◽  
Planetary Gear ◽  
Torque Converter ◽  
Transmission Efficiency ◽  
Transmission System ◽  
Mechanical Transmission ◽  
Power Split ◽  
Hydraulic Torque Converter

In hydraulic mechanical transmission loaders, a hydraulic torque converter can prevent an engine from stalling due to overloading of the loader during the spading process; however, the hydraulic torque converter also reduces the loader’s fuel economy because of its low transmission efficiency. To address this issue, the study designs an output-power-split transmission system that is applied to a hybrid loader. The designed transmission system removes the hydraulic torque converter in the power transmission system of a traditional loader and adopts a planetary gear set with a compact structure as the dynamic coupling element, thus allowing the output power of the loader to be split transmitted. During shoveling, the loader power-split transmission system based on a planetary gear set can prevent the motor from plugging and over-burning under conditions that ensure that the traction does not decrease. In addition, the transmission efficiency and loader fuel economy are higher in the proposed transmission system than in the power transmission system of a traditional loader. The test results show that the transmission efficiency of the designed system was 13.2% higher than that of the traditional hydraulic mechanical transmission loader.

Load Sharing of Parallel Shaft Split Torque Transmission System

2012 ◽  
Vol 490-495 ◽  
pp. 2231-2235 ◽  
Author(s):  
Ning Zhao ◽  
Rui Feng Wang ◽  
Li Tao ◽  
Qing Jian Jia
Keyword(s):  
Equations Of Motion ◽  
Load Sharing ◽  
Transmission System ◽  
Variable Step Size ◽  
Step Size ◽  
Runge Kutta Method ◽  
Torque Transmission ◽  
Torque Load ◽  
Fifth Order ◽  
Split Torque

Parallel shaft split torque Transmission system Split torque Load sharing Abstract: The Newton method was applied to develop a system of equations of motion, the mathematical model includes stiffness of shaft supporting, position of gears, backlashes, time-varying stiffness, composite transmission errors, damping. The model was solved by variable step size forth/fifth-order Runge-Kutta method. The load sharing was affected obviously by asymmetry of gear backlashes, stiffness of shaft supporting and gear position

A study of shift control using the clutch pressure pattern in automatic transmission

2003 ◽  
Vol 217 (4) ◽  
pp. 289-298 ◽  
Author(s):  
Woosung Han ◽  
Seung-Jong Yi
Keyword(s):  
Dynamic Models ◽  
Equations Of Motion ◽  
Automatic Transmission ◽  
Torque Converter ◽  
Optimum Pressure ◽  
Planetary Gears ◽  
Transient Characteristics ◽  
Engine Torque ◽  
Shift Control ◽  
Road Load

It is necessary to understand the overall system including engine, torque converter, multiplate clutch, band brake, one-way clutch, planetary gears, road load and tyre to analyse the performance of the vehicle powertrain. The performance of the powertrain can be analysed using dynamic models including transient characteristics and the equations of motion are derived from the dynamic models of the powertrain. In this study, the shift transient characteristics of the vehicle equipped with a Ravigneaux-type planetary gears automatic transmission has been investigated. A shift control using engine torque reduction and optimum pressure trajectory has also been investigated in order to enhance transient characteristics during shift.

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