Quasi-Static and Dynamic Analysis of Narrow-Faced Helical Gears With Profile and Lead Modifications

1997 ◽  
Vol 119 (4) ◽  
pp. 474-480 ◽  
Author(s):  
M. Maatar ◽  
P. Velex
Keyword(s):  
Degrees Of Freedom ◽  
Transmission Error ◽  
Load Factor ◽  
Systematic Analysis ◽  
Tooth Shape ◽  
Helical Gears ◽  
Static And Dynamic Analysis ◽  
Generalized Displacements ◽  
Static Transmission Error

A systematic analysis of the influence of tooth shape modifications on the dynamic behavior of single stage narrow-faced helical gears is proposed. Calculations are performed using a 3D model with 36 degrees of freedom including torsional, flexural and axial generalized displacements of the gear-shaft-bearing system. Two approximate equations giving the normalized static transmission error STE and load factor RF are deduced. It is shown that, for a given gear set, there exists a unique representation of STE and RF valid over a large range of profile, lead modification amplitudes and transmitted loads. The role of the extent of the profile relief (long, short and intermediate) and the shape of lead modifications (parabolic, elliptic crowning, linear chamfers) is discussed. The paper is concluded by the analysis of the dynamic transmission error of a gear set with various tooth shape modifications selected from static considerations.

Low excitation spur gears with variable tip diameter

2021 ◽  
Vol 263 (5) ◽  
pp. 1275-1285
Author(s):  
Joshua Götz ◽  
Sebastian Sepp ◽  
Michael Otto ◽  
Karsten Stahl
Keyword(s):  
Transmission Error ◽  
Spur Gear ◽  
Low Noise ◽  
Spur Gears ◽  
Mesh Stiffness ◽  
Helical Gears ◽  
Axial Forces ◽  
Tooth Width ◽  
Drive Trains ◽  
Static Transmission Error

One important source of noise in drive trains are transmissions. In numerous applications, it is necessary to use helical instead of spur gear stages due to increased noise requirements. Besides a superior excitation behaviour, helical gears also show additional disadvantageous effects (e.g. axial forces and tilting moments), which have to be taken into account in the design process. Thus, a low noise spur gear stage could simplify design and meet the requirements of modern mechanical drive trains. The authors explore the possibility of combining the low noise properties of helical gears with the advantageous mechanical properties of spur gears by using spur gears with variable tip diameter along the tooth width. This allows the adjustment of the total length of active lines of action at the beginning and end of contact and acts as a mesh stiffness modification. For this reason, several spur gear designs are experimentally investigated and compared with regard to their excitation behaviour. The experiments are performed on a back-to-back test rig and include quasi-static transmission error measurements under load as well as dynamic torsional vibration measurements. The results show a significant improvement of the excitation behaviour for spur gears with variable tip diameter.

scholarly journals Particle Swarm Optimization as an Efficient Computational Method in order to Minimize Vibrations of Multimesh Gears Transmission

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Alexandre Carbonelli ◽  
Joël Perret-Liaudet ◽  
Emmanuel Rigaud ◽  
Alain Le Bot
Keyword(s):  
Particle Swarm Optimization ◽  
Particle Swarm ◽  
Transmission Error ◽  
Computational Method ◽  
Particle Swarm Algorithm ◽  
Swarm Optimization ◽  
Helical Gears ◽  
Great Performance ◽  
Applied Torque ◽  
Static Transmission Error

The aim of this work is to present the great performance of the numerical algorithm of Particle Swarm Optimization applied to find the best teeth modifications for multimesh helical gears, which are crucial for the static transmission error (STE). Indeed, STE fluctuation is the main source of vibrations and noise radiated by the geared transmission system. The microgeometrical parameters studied for each toothed wheel are the crowning, tip reliefs and start diameters for these reliefs. Minimization of added up STE amplitudes on the idler gear of a three-gear cascade is then performed using the Particle Swarm Optimization. Finally, robustness of the solutions towards manufacturing errors and applied torque is analyzed by the Particle Swarm algorithm to access to the deterioration capacity of the tested solution.

Modeling and Analysis on the Gearbox of Driven Tool Holder

2012 ◽  
Vol 251 ◽  
pp. 111-113
Author(s):  
Yan Gui ◽  
Qi Zhang
Keyword(s):  
Transmission Error ◽  
Design Stage ◽  
System Response ◽  
Cad Model ◽  
Spur Gears ◽  
Excitation Mechanism ◽  
Modeling And Analysis ◽  
Helical Gears ◽  
Static And Dynamic Analysis ◽  
Tool Holder

Various methods of calculating transmission error in spur and helical gears are used to predict T.E. at the design stage. In order to reduce the driveline noise of the noise excitation mechanism, an advanced algorithm is used to predict and optimize the TE of a gear pair and the system response of specified TE excitation is investigated for the driven tool holder. And the CAD model was then meshed in Hypermesh with designable and non-designable areas. A pair of spur gears were investigated through static and dynamic analysis in detail.

Profile Modifications for Minimum Static Transmission Error in Cylindrical Gears

1998 ◽  
Author(s):  
Isaias Regalado ◽  
Donald R. Houser
Keyword(s):  
Load Distribution ◽  
Strong Relationship ◽  
Transmission Error ◽  
Gear Ratio ◽  
Spur Gears ◽  
Helical Gears ◽  
Involute Gears ◽  
Theoretical Advantage ◽  
Static Transmission Error ◽  
The Common

Abstract The theoretical advantage of conjugate action in involute gears is lost due to the deflection of the teeth under load and due to manufacturing and assembling errors. These factors produce instantaneous variations in the gear ratio commonly referred to as transmission error. The transmission error has been proven to have a strong relationship with the noise emitted by the transmission. In order to reduce the transmission error, the contacting surfaces of the gears are modified to compensate for the deflections and errors. These modifications may be performed in the direction of the profile, the lead or in a more general sense it may be topographical (defined point by point). This paper describes a non-iterative procedure for the calculation of the modifications for minimum transmission error based on a predefined load distribution. The results presented agree with the common practice for spur gears of tip relief in the direction of the profile and crowning in the direction of the lead, but for helical gears the need for a more complicated modification is observed.

scholarly journals Effect predictions of web active control on dynamic behaviors of face gear drives

2019 ◽  
Vol 38 (2) ◽  
pp. 753-764 ◽  
Author(s):  
Zhengminqing Li ◽  
Hao Wang ◽  
Rupeng Zhu
Keyword(s):  
Active Control ◽  
Degrees Of Freedom ◽  
Vibration Suppression ◽  
Transmission Error ◽  
Face Gear ◽  
Control Solution ◽  
Dynamic Behaviors ◽  
Gear Dynamics ◽  
Static Transmission Error ◽  
Gear Drives

Face gear dynamics is addressed by many scholars, and vibration suppression of face gear drives is always one of study focuses of face gear dynamics. However, vibration active control solutions of face gear drives are still yet to be constructed. Thus, in the study, a web active control solution of face gear drives, in which face gear web structures are employed to achieve static transmission error active control, is proposed, and a web circumference deformation calculation solution is constructed, as well as a four-degrees of freedom dynamic model of face gear drives is established, and two version control methods of static transmission error are presented. Furthermore, an example case of face gear drives associated with the proposed web active control solution is simulated. The results indicate that effects of the proposed web active control solution on dynamic behaviors of face gear drives are significant, and the fidelity of the proposed web active control solution could be accepted. These contributions would benefit to improve face gear vibrations and engineering applications of face gear drives.

Some Analytical Results on Transmission Errors in Narrow-Faced Spur and Helical Gears: Influence of Profile Modifications

2011 ◽  
Vol 133 (3) ◽  
Author(s):  
P. Velex ◽  
J. Bruyère ◽  
D. R. Houser
Keyword(s):  
Transmission Error ◽  
Direct Solution ◽  
Contact Ratio ◽  
Helical Gears ◽  
Transmission Errors ◽  
Versus Profile ◽  
Analytical Results ◽  
Gear Geometry ◽  
Theoretical Developments

Some theoretical developments are presented, which lead to approximate analytical results on quasi-static transmission errors valid for low and high contact ratio spur and helical gears. Based on a multidegree-of-freedom gear model, a unique scalar equation for transmission error is established. The role of profile relief is analyzed by using Fourier series and it is shown that transmission error fluctuations depend on a very limited number of parameters representative of gear geometry and profile relief definition. An original direct solution to the optimum relief minimizing transmission error fluctuations is presented, which is believed to be helpful for designers. The analytical results compare well with the numerical results provided by a variety of models and it is demonstrated that some general laws of evolution for transmission error fluctuations versus profile modifications can be established for spur and helical gears.

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