Study on Elastohydrodynamic Lubrication of Double Involute Gear Drive

2013 ◽  
Vol 753-755 ◽  
pp. 1723-1726
Author(s):  
Zhi Min Fan ◽  
Zhao Qiang Zhang
Keyword(s):  
Mathematical Model ◽  
Bending Strength ◽  
Elastohydrodynamic Lubrication ◽  
Low Noise ◽  
Small Vibration ◽  
Gear Drive ◽  
Involute Gear ◽  
New Type ◽  
Lubrication Characteristics ◽  
The Mathematical Model

Double involute gear drive was a new type of gear drive, which had high bending strength, small vibration and low noise. In this paper, the lubrication characteristics of the new type of gear had been studied, the model of elastohydrodynamic lubrication had been simplified and analyzed by geometric, and the mathematical model used for numerical analysis of elastohydrodynamic lubrication had been established.

Effect of tooth waist order parameters of double involute gears on lubrication performance of gear drive

2016 ◽  
Vol 68 (6) ◽  
pp. 671-675 ◽  
Author(s):  
Zhimin Fan ◽  
Wanfeng Zhou ◽  
Ruixue Wang ◽  
Na Wang
Keyword(s):  
Elastohydrodynamic Lubrication ◽  
Reference Value ◽  
Tooth Profile ◽  
Order Parameters ◽  
Content Type ◽  
Oil Film ◽  
Gear Drive ◽  
Involute Gear ◽  
Lubrication Performance ◽  
Involute Gears

Purpose The purpose of this paper is to derive a new lubrication model of double involute gears drive and study the effect of the tooth waist order parameters of double involute gears on lubrication performance. Design/methodology/approach The new lubrication model of double involute gears drive was established according to the meshing characteristics of double involute gears drive and the finite length line contact elastohydrodynamic lubrication theory. Numerical calculation of the lubrication model of gear drive was conducted using the multigrid method. Findings The results show that the oil film necking phenomenon and the oil film pressure peak emerged at the tooth waist order area and the tooth profile ends, and when compared with involute gear, the lubrication performance at the tooth waist order area is better than that at the tooth profile ends. The effect of tooth waist order parameters on lubrication performance at the tooth waist order area was greater than that at other areas. Originality/value This research will promote the application of the double involute gear as soon as possible, and it has the reference value for other types of gears.

Theoretical and Experimental Study of the Dynamics of the Tripod-Ball Sliding Joint With Clearance

2001 ◽  
Author(s):  
Jia Xiaohong ◽  
Ji Linhong ◽  
Jin Dewen ◽  
Zhang Jichuan
Keyword(s):  
Mathematical Model ◽  
Equations Of Motion ◽  
Experimental Studies ◽  
Active System ◽  
New Concepts ◽  
Sliding Joint ◽  
New Type ◽  
Set Up ◽  
The Mathematical Model ◽  
Kane Method

Abstract Clearance is inevitable in the kinematic joints of mechanisms. In this paper the dynamic behavior of a crank-slider mechanism with clearance in its tripod-ball sliding joint is investigated theoretically and experimentally. The mathematical model of this new-type joint is established, and the new concepts of basal system and active system are put forward. Based on the mode-change criterion established in this paper, the consistent equations of motion in full-scale are derived by using Kane method. The experimental rig was set up to measure the effects of the clearance on the dynamic response. Corresponding experimental studies verify the theoretical results satisfactorily. In addition, due to the nonlinear elements in the improved mathematical model of the joint with clearance, the chaotic responses are found in numerical simulation.

Valve Gear Refinement

2000 ◽  
Vol 124 (1) ◽  
pp. 86-90 ◽  
Author(s):  
Jurij Avsec ◽  
Milan Marcic ◽  
Maks Oblak
Keyword(s):  
Mathematical Model ◽  
Cam Design ◽  
Cam Follower ◽  
New Type ◽  
Cam Profile ◽  
Profile Design ◽  
Comparison Of The Results ◽  
The Mathematical Model ◽  
Valve Gear ◽  
Lubrication Properties

This paper describes a new type of valve gear cam—MULTICAM—which consists of seven curves and allows an optimum cam profile design. In order to calculate the cinematic and dynamic values and to assess the minimum oil film thickness in the valve gear, the mathematical model of an ideal valve gear was used. In addition, the comparison of the results between the polysine cam and the new MULTICAM cam design was made. By means of the new cam design the Hertz pressures were reduced at the point of contact between the cam and the cam follower and the lubrication properties at the top of the cam improved.

The Dynamics of Pin Gear Drive Drum Mixer

2012 ◽  
Vol 430-432 ◽  
pp. 387-390
Author(s):  
Shu Hua Wan ◽  
Ming Hua Bai
Keyword(s):  
Gear Tooth ◽  
Entire System ◽  
Gear Drive ◽  
Involute Gear ◽  
Drum Mixer ◽  
New Type

as the gear tooth wideth is very wide, involute gear drum mixer would have a great impaction and vibration to the entire system when the involute gear meshed in and out.we propose a new type of drum mixer which is pin gear drum mixer and we analysised the dynamics of pin gear drum mixer and involute gear drum mixer.

Mathematical Model and Error Analysis of Coordinate Measuring Arm with Revo Revolving Body

2011 ◽  
Vol 52-54 ◽  
pp. 156-161 ◽  
Author(s):  
Lei Zhao ◽  
Shu Gui Liu
Keyword(s):  
Mathematical Model ◽  
Measurement Accuracy ◽  
System Model ◽  
Error Sources ◽  
Spherical Domain ◽  
New Type ◽  
Space Coordinate ◽  
Improving Accuracy ◽  
Revolving Body ◽  
The Mathematical Model

A new type of coordinate measuring arm with a Revo revolving body which can realize quick measuring in spherical domain has high stability, fast measuring speed and high accuracy compared with common coordinate measuring arm. We use the method of space coordinate transformation to solve the problem that the transformation matrix can’t be got from Revo body to test head by DH method, and apply DH theory to build the mathematical model of system. The system model is verified right by sketching. The error model is built and the effect of measurement accuracy from all error sources is deeply analyzed. It presents a theory foundation for further researching on improving accuracy of this new type of coordinate measuring arm.

scholarly journals Elastohydrodynamic Lubrication Characteristics of Spiral Bevel Gear Subjected to Shot Peening Treatment

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Shuai Mo ◽  
Ting Zhang ◽  
Guoguang Jin ◽  
Shengping Zhu ◽  
Jiabei Gong ◽  
...  
Keyword(s):  
Shot Peening ◽  
High Speed ◽  
Bending Strength ◽  
Elastohydrodynamic Lubrication ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Heavy Load ◽  
Spiral Bevel ◽  
Lubrication Characteristics

High speed and heavy load put forward demanding requirements for the bending strength of spiral bevel gear. Shot peening, as a technological method, can greatly improve the bending strength of gear. During shot peening, a large number of subtle projectiles bombard the tooth surface of spiral bevel gear at an extremely high speed, which makes the latter produce plastic deformation and strengthened layer. Serving as the bombarded target, spiral bevel gear inevitably leads to the change of tooth surfaces microstructure. This paper aims at revealing the coupling law between microstructure and lubrication characteristics and establishing a reasonable model that can describe the tooth surface microstructure of shot peened spiral bevel gear. Besides, this paper brings insight into the lubrication characteristics of shot peened spiral bevel gears. Based on the elastohydrodynamic lubrication (EHL) theory, a comparative research on tooth surface lubrication characteristics has been conducted by various microscopic morphologies in this study.

Friction-Induced Vibration in a Dynamometer Utilizing a Two-Disk Friction Interaction

1999 ◽  
Author(s):  
Ahmed Anabtawi ◽  
Kambiz Farhang
Keyword(s):  
Mathematical Model ◽  
Coefficient Of Friction ◽  
Measurement Data ◽  
Low Noise ◽  
Polynomial Fit ◽  
The Coefficient Of Friction ◽  
Disk Friction ◽  
Fifth Order ◽  
The Mathematical Model ◽  
Friction Induced Vibration

Abstract A mathematical model is developed for a dynamometer for testing a two-disk friction brake system. The model accounts for the compressive shear properties of the friction disks as well as stiffness and inertial characteristics of the dynamometer. Friction coefficient/velocity relations are established using the measurement data and employed in the mathematical model to perform simulations of the dynamometer’s vibration response and instability. Five different simulations are performed. The first four employ a fifth order polynomial fit from the coefficient friction measured experimentally. One of these four simulations uses data from noisy test while the other three utilize relatively low-noise tests. The fifth and last simulation is carried out using a theoretical coefficient of friction, being assumed to experience certain sinusoidal variation. Such function is used to study the effect of variability in kinetic coefficient of friction of the experimental data. In the first four simulations (i.e. the experimental cases), it is observed that the simulations turn unstable when the friction-velocity slope becomes negative. That phenomenon is alleviated when higher damping is used. In the fifth simulation (i.e. the sinusoidal case), variation in the coefficient of friction is found to increase vibration in the dynamometer system.

Dynamics and Stability of Non-Planar Rigid Rotor Equipped with Two Ball-Spring Autobalancers

2019 ◽  
Vol 19 (02) ◽  
pp. 1950001 ◽  
Author(s):  
Mousa Rezaee ◽  
Mir Mohammad Ettefagh ◽  
Reza Fathi
Keyword(s):  
Mathematical Model ◽  
Nonlinear Equations ◽  
Equations Of Motion ◽  
Rigid Rotor ◽  
Out Of Plane ◽  
New Type ◽  
Nonlinear Equations Of Motion ◽  
The Mathematical Model ◽  
System Time

Recently, a new type of automatic ball balancer (ABB), called the ball-spring autobalancer (AB), has been proposed, which substantially eliminates the drawbacks of the traditional ABBs. In previous studies, the dynamics of the Jeffcott planar rotor equipped with ball-spring AB has been investigated. In the Jeffcott model, it is assumed that the ABB is located on the plane of the unbalance disk. However, for the non-planar rigid rotor with distributed imbalances, out-of-plane motions may occur, and the Jeffcott model becomes unreliable as the tilting motion cannot be explained. To this end, the aim of this paper is to analyze the capability of the ball-spring AB in balancing non-planar rotors and to reconfirm its pre-claimed advantages over the traditional ABBs for balancing non-planar rotors. To start, the mathematical model of the rigid rotor with two ball-spring ABs is established, based on which the nonlinear equations of motion are derived. Then, the system time responses are computed numerically and the balanced stable regions are acquired by the Lyapunov’s first method. The results of this study show that the ball-spring ABs can balance the non-planar rotors and the tilting motion does not impair the pre-claimed advantages of the ball-spring AB.

The Influence of Surface Tension on Lubrication Characteristics

2010 ◽  
Vol 33 ◽  
pp. 627-630
Author(s):  
Jian Ping Liu ◽  
Xin Yi Zhang
Keyword(s):  
Mathematical Model ◽  
Surface Tension ◽  
Friction Coefficient ◽  
Experimental Results ◽  
Apparent Effect ◽  
Entrainment Velocity ◽  
Lubrication Performance ◽  
Increase Rate ◽  
Lubrication Characteristics ◽  
The Mathematical Model

The mathematical model was developed to account for viscosity induced by surface tension in the light of EDL theory. The effect of the EDL on the lubrication performance of lubricant for a composite sliding block-disc pair was investigated in considering surface tension. The experimental results showed the EDL has apparent effect on the friction coefficient, The lower of the entrainment velocity, the greater of the friction coefficient. With the increase of entrainment velocity, the increase rate of friction coefficient decreases. Thus, the established model could be used to well explain the effect of the surface tension of the EDL on the lubricating performance of a liquid.

Fixture Optimization for Robotic Belt Grinding System

2011 ◽  
Vol 121-126 ◽  
pp. 2030-2034
Author(s):  
Dong Zhang ◽  
Chao Yun ◽  
Ling Zhang
Keyword(s):  
Mathematical Model ◽  
Optimization Methods ◽  
Belt Grinding ◽  
Robotic Grinding ◽  
The Monte Carlo Method ◽  
New Type ◽  
Set Up ◽  
Robotic Belt Grinding ◽  
The Mathematical Model ◽  
Grinding System

The precision is impacted when the robotic grinding path is discontinuous and the gripper needs to be replaced during manufacturing. In order to solve this problem, a new type PPPRRR grinding robot was proposed. The mathematical model for the robotic grinding paths was set up. The factors including the pose of the workpiece respect to the end joint and the position of contact wheel respect to the robot base frame {O}were analyzed to influence the grinding ability of the system. Base on the Monte Carlo method the posture and position factors above had been optimized, and the grinding ability of the system was increased. The optimization methods were proved right and workable by grinding golf head experiment.

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