Research on Torsional Dynamic Model and Rigidity Excitation of Cycloid Ball Planetary Transmission System

2011 ◽  
Vol 86 ◽  
pp. 775-778
Author(s):  
Peng Zhang ◽  
Zi Jun An ◽  
Zuo Mei Yang
Keyword(s):  
Differential Equations ◽  
Dynamic Model ◽  
Frequency Spectrum ◽  
Transmission System ◽  
Parametric Vibration ◽  
Vibration System ◽  
Transmission Process ◽  
High Order Harmonic ◽  
Harmonic Components ◽  
Planetary Transmission

A torsional dynamic model of the cycloid ball planetary transmission system is established with considering the direction changing of engagement force and the multi-balls engagement in transmission process. By analyzing the position relationships of each engagement force and the displacement relationships of each component, the governing differential equations of system as well as the dimensionless equivalent engagement rigidities of each transmission disc are derived, and the frequency spectrum of the engagement rigidity excitation is present. The results show that the cycloid ball planetary transmission system is a parametric vibration system. The engagement rigidity excitation between the center disc and the planetary disc is a periodic and time-variant function, and the high-order harmonic components are included in the frequency spectrum.

Dynamic Model of Automatic Transmission System of Tracked Vehicle

2013 ◽  
Vol 397-400 ◽  
pp. 369-373 ◽  
Author(s):  
Jun Yi ◽  
Shui Sheng Chen ◽  
Da Zhang You
Keyword(s):  
Regression Analysis ◽  
Dynamic Model ◽  
Intelligent Control ◽  
Automatic Transmission ◽  
Torque Converter ◽  
Transmission System ◽  
Simulation System ◽  
Tracked Vehicle ◽  
Planetary Transmission ◽  
Test Result

The dynamic characteristic of automatic transmission system of tracked vehicle was thorough analyzed. The primary characteristic of torque converter was proposed by means of regression analysis of test result. The dynamic model of three-freedom planetary transmission was constituted using drive principles of planetary transmission. Thus the foundation of intelligent control and simulation system of automatic transmission of tracked vehicle was established.

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 Optimal design of high efficiency double helical gear based on dynamics model

2021 ◽  
Vol 3 (8) ◽  
Author(s):  
Fengxia Lu ◽  
Xuechen Cao ◽  
Weiping Liu
Keyword(s):  
Dynamic Model ◽  
High Efficiency ◽  
Bending Strength ◽  
Sliding Friction ◽  
Elastohydrodynamic Lubrication ◽  
Optimization Method ◽  
Transmission Efficiency ◽  
Helical Gear ◽  
Transmission System ◽  
Vibration Displacement

AbstractA 16-degree-of-freedom dynamic model for the load contact analysis of a double helical gear considering sliding friction is established. The dynamic equation is solved by the Runge–Kutta method to obtain the vibration displacement. The method combines the friction coefficient model based on the elastohydrodynamic lubrication theory with the dynamic model, which provides a theoretical basis for the calculation of the power loss of the transmission system. Moreover, the sensitivity analysis of the parameters that affect the transmission efficiency is carried out, and an optimization method of meshing efficiency is proposed without reducing the bending strength of the gears. This method can directly guide the design of the double helical gear transmission system.

scholarly journals Reliability Analysis of a Filtering Reducer under the Discrete Space Environmental Shocks

2014 ◽  
Vol 6 ◽  
pp. 921720 ◽  
Author(s):  
Jing Lu ◽  
Zhonglai Wang ◽  
Wei Chen ◽  
Xuefei Zhang ◽  
Hao Liu
Keyword(s):  
Differential Equations ◽  
Dynamic System ◽  
Mechanism Design ◽  
Reliability Analysis ◽  
Dynamic Model ◽  
Space Environment ◽  
Newmark Method ◽  
Lumped Mass ◽  
Dynamic Reliability ◽  
Environmental Shocks

Dynamic reliability analysis of a filtering reducer is performed by accounting for discrete shocks from the space environment. Gears are considered as the lumped mass and meanwhile the meshing between different gears is equivalent to a dynamic system consisting of springs and dampers during construction of the dynamic model. The Newmark method is employed to resolve differential equations, and then the additional acceleration could be obtained, caused by shocks to the filtering reducer. Dynamic reliability analysis is conducted with the help of the Simulink tool for the outputs. The results are hopefully useful for spacecraft mechanism design.

scholarly journals Research and Analysis of Digital Baseband Transmission System Based on MATLAB

2018 ◽  
Vol 1 (1) ◽  
Author(s):  
Chai Jianwen
Keyword(s):  
Signal Transmission ◽  
Digital Signal ◽  
Transmission System ◽  
Simulation Software ◽  
Line Pattern ◽  
Matlab Simulation ◽  
Simulation Process ◽  
Transmission Process ◽  
Baseband Signal ◽  
Digital Baseband

This paper mainly studies the basic concept of baseband transmission of digital signal and the transmission processof digital signal baseband transmission and how to design digital baseband transmission system with MATLABsoftware simulation. This paper fi rst introduces the theoretical basis of this subject, including digital communication,the composition of digital baseband transmission system and digital baseband signal transmission process. Then thepaper introduced the characteristics of digital baseband transmission system, including digital PAM signal powerdensity and common line pattern, and by comparing choosing the fi nal bipolar zero return code. Then we introducedthe MATLAB simulation software. The conditions of the best reception of the digital baseband signal are describedand how the waveform of the baseband signal is observed by an oscilloscope. Finally, according to the basic stepsof simulation process, the simulation process of digital baseband transmission system is realized by MATLABsimulation tool, and the system is analyzed.

Synchronization Analysis of the Double Exciting Motors in Nonlinear Vibration System Based on Reaching Law

2011 ◽  
Vol 295-297 ◽  
pp. 2197-2200
Author(s):  
Xiao Hao Li ◽  
Jie Liu
Keyword(s):  
State Space ◽  
Nonlinear Vibration ◽  
Dynamic Model ◽  
Phase Difference ◽  
Sliding Mode ◽  
Design Feature ◽  
Vibration System ◽  
Reaching Law ◽  
Speed Difference ◽  
Nonlinear Vibration System

Based on the dynamic model of the nonlinear vibration system which driven by double exciting motors, the rotate speed difference and phase difference state space equations have been deduced. According to the design feature of the nonlinear vibration system and the vibration synchronization requirement of double exciting motors, the approach control synchronization strategy has been deduced with sliding mode reaching law. The practical examples and tests shows that the reaching law synchronization controller can effectively control the double exciting motors to realize the synchronization movement, and the synchronization controller has stronger robustness. The analysis result can provide the theoretical and test basis for the further exploitation of synchronization vibrating machine.

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