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.

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.

Coupled Dynamic and Vibration Analysis of Beveloid Geared System

2012 ◽  
Vol 215-216 ◽  
pp. 917-920
Author(s):  
Rong Fan ◽  
Chao Sheng Song ◽  
Zhen Liu ◽  
Wen Ji Liu
Keyword(s):  
Transmission Error ◽  
Time Varying ◽  
Spur Gears ◽  
Dynamic Coupling ◽  
Nonlinear Dynamic Model ◽  
Mesh Stiffness ◽  
Hypoid Gears ◽  
Helical Gears ◽  
Beveloid Gears ◽  
Vibration Model

Dynamic modeling of beveloid gears is less developed than that of spur gears, helical gears and hypoid gears because of their complicated meshing mechanism and 3-dimsional dynamic coupling. In this study, a nonlinear systematic coupled vibration model is created considering the time-varying mesh stiffness, time-varying transmission error, time-varying rotational radius and time-varying friction coefficient. Numerical integration applying the explicite Runge-Kutta formula and the implicit direct integration is used to solve the nonlinear dynamic model. Also, the dynamic characteristics of the marine gear system are investigated.

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.

Modeling and Analysis of Sliding Friction in Gear Dynamics

2000 ◽  
Author(s):  
Manish Vaishya ◽  
Donald R. Houser
Keyword(s):  
Sliding Friction ◽  
Transmission Error ◽  
Spur Gear ◽  
Spur Gears ◽  
Parameter System ◽  
Modeling And Analysis ◽  
Gear Teeth ◽  
Lumped Parameter ◽  
Force Transmissibility ◽  
Vibration Coupling

Abstract Sliding resistance on gear teeth can have a dominant effect on housing vibration and noise, due to fluctuating excitation and high force transmissibility in the off-line of action direction. Hence reliable modeling of friction from tribological considerations, supported by experimental data, is of utmost importance. This paper examines some lubrication theories and validates them with 2-disk tests and quasi-static loaded gear tests. From the knowledge of friction characteristics, a lumped parameter system is synthesized for a pair of spur gears. This model includes sliding friction, mounting compliances and lateral-torsional vibration coupling. A different formulation has been applied, which unlike most current models, accounts for energy dissipation in the system due to friction. The influence of various excitations like transmission error, friction and parametric variations, on dynamic response of gears is investigated. Finally, the model is evaluated with dynamic tests carried out on a spur gear set, under varying conditions of torque, speed and lubricant.

Modeling and Analysis of the Meshing Losses of Involute Spur Gears in High-Speed and High-Load Conditions

2012 ◽  
Vol 135 (1) ◽  
Author(s):  
L. Chang ◽  
Yeau-Ren Jeng ◽  
Pay-Yau Huang
Keyword(s):  
High Speed ◽  
High Performance ◽  
High Load ◽  
Design Parameters ◽  
Physical Parameters ◽  
Spur Gears ◽  
Modeling And Analysis ◽  
Helical Gears ◽  
Viscosity Coefficients ◽  
Pressure Angle

A first-principle based mathematical model is developed in this paper to analyze the meshing losses in involute spur gears operating in high-load and high-speed conditions. The model is fundamentally simple with a few clearly defined physical parameters. It is computationally robust and produces meaningful trends and relative magnitudes of the meshing losses with respect to the variations of key gear and lubricant parameters. The model is evaluated with precision experimental data. It is then used to study the effects of various gear and lubricant parameters on the meshing losses including gear module, pressure angle, tooth addendum height, thermal conductivity, and lubricant pressure-viscosity and temperature-viscosity coefficients. The results and analysis suggest that gear module, pressure angle, and lubricant pressure-viscosity and temperature-viscosity coefficients can significantly affect the meshing losses. They should be the design parameters of interest to further improve the energy efficiency in high-performance, multistage transmission systems. Although the model is developed and results obtained for spur gears, the authors believe that the trends and relative magnitudes of the meshing losses with respect to the variations of the gear and lubricant parameters are still meaningful for helical gears.

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.

Experimental Study of the Transmission Error for the Detection of Gear Faults

2003 ◽  
Author(s):  
Jarir Mahfoudh ◽  
Didier Remond
Keyword(s):  
Transmission Error ◽  
Operating Conditions ◽  
System Response ◽  
Spur Gears ◽  
Test Conditions ◽  
Gear Fault ◽  
Basic Relationship ◽  
Definition Of ◽  
The Time Domain ◽  
Fault Evolution

This study deals with the definition of preventive maintenance procedures for gearboxes. Faults can appear on one or several elements of the studied system. In this work, only gear faults are considered. Faults appear on spur gears, and the transmission error has been measured due to a progressive fault for several operating conditions. The transmission error is the system response that contains the main information about gear health. We intend to study the basic relationship between the presence of gear fault and the modification in the transmission error. We measured the transmission error using low pulse per revolution optical encoders. The operating test conditions were two speeds and three applied loads. Signals were processed in the time domain. Several indicators were examined with respect to the operating conditions. Trends of the system response with respect to fault evolution were established. Basic relationships between gear failure and the change of transmission error have been discussed.

Optimization of tooth modifications for spur and helical gears using an adaptive multi-objective swarm algorithm

2019 ◽  
Vol 233 (21-22) ◽  
pp. 7292-7308 ◽  
Author(s):  
C Lagresle ◽  
M Guingand ◽  
J-P de Vaujany ◽  
B Fulleringer
Keyword(s):  
Power Transmission ◽  
Optimization Problems ◽  
Transmission Error ◽  
Particle Swarm Algorithm ◽  
Spur Gears ◽  
Optimal Solutions ◽  
Helical Gears ◽  
Metaheuristic Methods ◽  
Swarm Algorithm ◽  
Maximum Contact

Metaheuristic methods have proved to be suitable for solving complex multi-criteria optimization problems. In this paper, a modified particle swarm algorithm has been implemented in order to improve the quasi-static behavior of a power transmission gearbox, thus optimizing various objectives such as the maximum contact pressure on the gear flanks, the root-mean-square of the loaded transmission error signal, the tooth bending stress, and/or the pressure-speed factor. For narrow-faced spur gears, the comparison between optimal solutions found by the algorithm and the so-called master curve shows quite good agreements. The chosen form of the profile modifications, linear or quadratic, is then discussed. Finally, the robustness of the optimal solutions is tested to guarantee their efficiency against variable shaft misalignments.

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