Time-varying meshing stiffness calculation of an internal gear pair with small tooth number difference by considering the multi-tooth contact problem

2021 ◽  
Vol 35 (9) ◽  
pp. 4073-4083
Author(s):  
Guangjian Wang ◽  
Qing Luo ◽  
Shuaidong Zou
Keyword(s):  
Contact Problem ◽  
Time Varying ◽  
Gear Pair ◽  
Tooth Contact ◽  
Meshing Stiffness ◽  
Small Tooth ◽  
Tooth Number ◽  
Internal Gear

Small Tooth Number Difference Planetary Gear Drive with a Crank and Oscillating Block Inputting Mechanism

2011 ◽  
Vol 52-54 ◽  
pp. 1268-1273 ◽  
Author(s):  
Jian Kun Cui
Keyword(s):  
Potential Application ◽  
Planetary Gear ◽  
Transmission Mechanism ◽  
Gear Pair ◽  
Gear Drive ◽  
Small Tooth ◽  
Tooth Number ◽  
New Type ◽  
Internal Gear ◽  
Block Mechanism

A new mechanism construction for small tooth number difference planetary gear drive is developed in which the planet wheel is guided by a planar crank and oscillating block mechanism. The sizes of linkage are design dexterously to get an approximate circumference linkage curve so that the engaging condition of internal gear pair can be satisfied. The trajectory of the inner gear center motion is analyzed and its error comparing with a standard circle is calculated to avoid movement interference. The movement of inner gear is study particularly to deduced formula of instantaneous transmission ratio. Despite observable fluctuation of output speed, this new type of gear transmission mechanism still has potential application value in situation with large ratio and low input speed. A hand drive winch prototype using the mechanism is also illustrated in this paper.

Study on the Multi-Tooth Meshing Bending Strength for Involute Gear Drive with Small Tooth Number Difference

2014 ◽  
Vol 526 ◽  
pp. 236-241
Author(s):  
Xiao Ning Feng
Keyword(s):  
Calculation Method ◽  
Bending Strength ◽  
Gear Pair ◽  
Bending Stress ◽  
Strength Factor ◽  
Gear Drive ◽  
Small Tooth ◽  
Strength Based ◽  
Tooth Number ◽  
Internal Gear

This article has established numerous entity assembly models of internal gear pair with small tooth number difference of stub gear, then calculates the bending stress of multi-tooth meshing by means of FEM, determines bending strength factor of multi-tooth meshing, and forms the calculation method of bending strength based on influence by multi-tooth meshing.

scholarly journals Mesh Phase Analysis of Encased Differential Gear Train for Coaxial Twin-Rotor Helicopter

2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
Donglin Zhang ◽  
Rupeng Zhu ◽  
Bibo Fu ◽  
Wuzhong Tan
Keyword(s):  
Phase Difference ◽  
Gear Tooth ◽  
Phase Relations ◽  
Gear Train ◽  
Time Varying ◽  
Gear Pair ◽  
Meshing Stiffness ◽  
Differential Gear ◽  
Starting Point ◽  
Twin Rotor

Dynamic excitation caused by time-varying meshing stiffness is one of the most important excitation forms in gear meshing process. The mesh phase relations between each gear pair are an important factor affecting the meshing stiffness. In this paper, the mesh phase relations between gear pairs in an encased differential gear train widely used in coaxial twin-rotor helicopters are discussed. Taking the meshing starting point where the gear tooth enters contact as the reference point, the mesh phase difference between adjacent gear pairs is analyzed and calculated, the system reference gear pair is selected, and the mesh phase difference of each gear pair relative to the system reference gear pair is obtained. The derivation process takes into account the modification of the teeth, the processing, and assembly of the duplicate gears, which makes the calculation method and conclusion more versatile. This work lays a foundation for considering the time-varying meshing stiffness in the study of system dynamics, load distribution, and fault diagnosis of compound planetary gears.

Time-Varying Meshing Stiffness Calculation and Vibration Analysis for a 16DOF Dynamic Model With Linear Crack Growth in a Pinion

2011 ◽  
Vol 134 (1) ◽  
Author(s):  
Xiaojun Zhou ◽  
Yimin Shao ◽  
Yaguo Lei ◽  
Mingjian Zuo
Keyword(s):  
Crack Growth ◽  
Dynamic Model ◽  
Linear Growth ◽  
Early Stage ◽  
Time Varying ◽  
Gear Pair ◽  
Growth Path ◽  
Vibration Signals ◽  
Meshing Stiffness ◽  
Potential Energy Method

A modified mathematical model for simulating gear crack from root with linear growth path in a pinion is developed, in which an improved potential energy method is used to calculate the time-varying meshing stiffnesses of the meshing gear pair while we also take the deformation of gear-body into consideration. The formulas for the meshing stiffness are deduced when the crack grows as the linear growth path in the pinion. A 16DOF dynamic model of a one-stage spur gear system is used to study the response from the system considering time-varying meshing stiffnesses and different levels of crack growing in the pinion. As vibration signals induced by the tooth crack are buried in normal vibration signals which are induced by the normal gear pair in meshing at the early stage of crack growth, the algorithm combined autoregressive modeling method and demodulation method is proposed to process the signals to investigate the response characteristics as the crack grows, and the comparison of the relationship between indicators and the crack levels from different simulation methods are given.

Design of New Type Involute Planetary Gear Reducer of Small Tooth Number Difference

2012 ◽  
Vol 490-495 ◽  
pp. 2076-2080
Author(s):  
Hui Zhang
Keyword(s):  
Planetary Gear ◽  
Input Frequency ◽  
Closed Graph ◽  
Small Tooth ◽  
Inherent Frequency ◽  
Tooth Number ◽  
New Type ◽  
The Common ◽  
Internal Gear ◽  
Ansys Workbench

Based on the analysis of the common NN-type involute planetary gear reducer with small tooth number difference, this paper replaced the traditional eccentric axle sleeve with double eccentric crankshaft, so as to simplify the structure of involute planetary gear reducer with small tooth number difference; and then used closed graph to select the modification coefficients of the internal gear pairs thereby accomplishing the design of the new type reducer; Finally, used ANSYS Workbench software to analyze the modal of 3D virtual prototype, and arrived at a realized conclusion :the inherent frequency of the system is much higher than the input frequency, so resonance will not occur.

Theoretical Calculation and Simulation Experiment of Tooth Contact in Planetary Gearing with Small Tooth Number Difference

2015 ◽  
Vol 778 ◽  
pp. 212-217
Author(s):  
Fei Li ◽  
Jian Fang Xia
Keyword(s):  
Theoretical Calculation ◽  
Load Distribution ◽  
Simulation Experiment ◽  
Calculation Formula ◽  
Element Analysis ◽  
Tooth Contact ◽  
Small Tooth ◽  
Tooth Number ◽  
The Relationship ◽  
Meshing Process

This article focuses on multi-tooth contact existing in planetary gearing with small tooth number difference. On the basis of analyses of the meshing process of planetary gearing with small tooth number difference, it puts forward the calculation formula of contacting tooth pairs to the theoretical clearance angles and establishes the theoretical mathematical model for calculating the number of contacting tooth in the meshing process of planetary gearing. The model is used to calculate the data of certain particular planetary gearing mechanism and sort out the relationship between contacting tooth and the load distribution of tooth pairs. And the simulation experiment has been made using the ABAQUS finite element analysis software to verify the validity of the theoretical calculation formula.

scholarly journals Analysis of time-varying meshing stiffness of helical gear pair with tooth surface spalling

2021 ◽  
Vol 1820 (1) ◽  
pp. 012131
Author(s):  
Yongjie Zhang ◽  
Wen Liu ◽  
Chen Song ◽  
Tengjiao Lin ◽  
Mingxu Duan
Keyword(s):  
Helical Gear ◽  
Tooth Surface ◽  
Time Varying ◽  
Gear Pair ◽  
Meshing Stiffness ◽  
Helical Gear Pair
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