Influence of Gear Error on Rotational Vibration of Power Transmission Spur Gear : 3rd Report, Accumulative Pitch Error

1985 ◽  
Vol 28 (246) ◽  
pp. 3018-3024 ◽  
Author(s):  
Kiyohiko UMEZAWA ◽  
Taichi SATO
Keyword(s):  
Power Transmission ◽  
Spur Gear ◽  
Pitch Error ◽  
Rotational Vibration

Simulation of the Rotational Vibration Response of a Spur Gear Pair With One Cracked Tooth

2000 ◽  
Author(s):  
Sidi M. Berri ◽  
J. M. Klosner
Keyword(s):  
Differential Equations ◽  
Power Transmission ◽  
Equations Of Motion ◽  
Spur Gear ◽  
Crack Size ◽  
Vibration Response ◽  
Time Varying ◽  
Gear Pair ◽  
Rotational Vibration ◽  
Tooth Pair

The present study introduces a developed simulator on rotational vibrations of a power transmission spur gear set with one cracked pinion tooth. The simulator computes the expected vibration response of the meshing gears by solving the differential equations of motion. In additions to accounting for the time-varying stiffness of the meshing tooth pair, the simulator also includes gear errors and damping. Dynamic tooth loads as a function of crack size are also computed. The simulated outputs depict precisely the experimental behaviors. Results for rotational vibrations of the power transmission system are presented as a function of crack size.

Rotational Vibration Response of Power Transmission Systems

2002 ◽  
Author(s):  
Sidi M. Berri
Keyword(s):  
Power Transmission ◽  
Spur Gear ◽  
Crack Size ◽  
Integration Scheme ◽  
Transmission Systems ◽  
Coupled Equations ◽  
Numerical Integration Scheme ◽  
Wide Range ◽  
Power Transmission Systems ◽  
Rotational Vibration

The main goal of monitoring systems for rotary machinery is to provide sufficient time between warning and failure of machine elements so that safety procedures can be implemented. The present study investigates the dynamics of transmission systems by interpreting the interaction dynamic loads of the elements of the system. This phase of the effort concerns itself with the determination of the relationship of the dynamic tooth loads to the crack size of a single cracked tooth of a spur gear pair. A mathematical model of the test rig used for the general study is proposed. In addition to accounting for the time-varying stiffness of the meshing tooth pair, the model also includes gear errors and damping. A Newmark-Beta numerical integration scheme is used to solve the system of non-linear coupled equations. Results for the dynamic tooth loads as a function of crack size are presented for a wide range of rotational speeds. Simulated and experimental vibrational signals are also presented.

Computational Investigation of Flows and Pressure Fields Associated With Spur Gear Meshing

2014 ◽  
Author(s):  
Baydu C. Al ◽  
Kathy Simmons ◽  
Herve P. Morvan
Keyword(s):  
Power Transmission ◽  
Axial Direction ◽  
Spur Gear ◽  
Transient Pressure ◽  
Pressure Fields ◽  
Oil Flow ◽  
Power Transmission Systems ◽  
Compression And Expansion ◽  
Potential Applications ◽  
Computational Fluid Dynamics Cfd

The efficiency of power transmission systems is increasingly targeted with a view to reducing parasitic losses and improving specific fuel consumption (SFC). One of the effects associated with such parasitic losses is the successive compression and expansion of fluid within the cavities between teeth of a meshing gear pair as they rotate. This process is cyclic and there are multiple cavities compressed and expanded at the same time. During the meshing process the volume of the cavity between the teeth suddenly contracts and as a result pressure rises. The fluid is therefore expelled primarily in the axial direction (for spur gears) since this area is considerably larger compared to the backlash area. Once the cavity starts to expand fluid is drawn into the cavity between the teeth by the negative pressure. Besides the air flow in the gear box, the meshing point is of particular interest to the oil flow, since oil is typically injected at or upstream of the meshing point. Good understanding of such flows can be used to balance lubrication needs with the need to minimise the required oil volumes and parasitic losses. This paper proposes the use of Computational Fluid Dynamics (CFD) as a means to investigate the phenomenon. A simplified two-dimensional CFD approach has been developed to study flows and pressure fields associated with spur gear meshing. The influence of the rotational speed has been investigated. Good validation is shown for the transient pressure variation within the tooth space. The limitations and potential applications of the modelling strategy are then discussed.

scholarly journals Practical Optimal Design on Two Stage Spur Gears Train Using Nature Inspired Algorithms

2019 ◽  
Vol 8 (6) ◽  
pp. 4073-4081
Keyword(s):  
Power Transmission ◽  
Spur Gear ◽  
Contact Ratio ◽  
Two Stage ◽  
Gear Drive ◽  
Mechanical Constraints ◽  
Design Variables ◽  
Accurate Design ◽  
Power Transmission Systems ◽  
Nature Inspired Algorithms

The accurate design of spur gear drive has a tremendous impact on size, weight, transmission and machine performance. Also, the demand for lighter gears is high in power transmission systems, as they save material and energy. Hence this paper presents an enhanced method to solve a two stage spur gear optimization problem. It consists of a mathematical model with a nonlinear objective function and 11 constraints. A two stage spur gear is considered. To obtain minimum volume of spur gear drive is objective of the problem. The considered design variables are: Module, number of teeth, base width of the gears and, shaft diameter and power. Besides considering regular mechanical constraints based on American Gear Manufacturers Association (AGMA) requisites, six more additional critical constraints on contact ratio, load carrying capacity, power loss, root not cut, no involute interference and line of action are imposed on the drive. Nature inspired optimization algorithms, namely, Simulated Annealing (SA), Firefly (FA) and MATLAB solver fmincon are used to find solution in MATLAB environment. Simulation results are analyzed, compared with literature and validated

scholarly journals Dynamical Modelling and Simulation of Spur Gears with Flank Pitch Error

2021 ◽  
Author(s):  
Lizhuang Tao ◽  
De Tian ◽  
Shize Tang ◽  
Xiaoxuan Wu ◽  
Bei Li
Keyword(s):  
Dynamic Models ◽  
Vibration Signal ◽  
Spur Gear ◽  
Transmission Model ◽  
Spur Gears ◽  
Meshing Stiffness ◽  
Pitch Error ◽  
Gear Fault ◽  
Tooth Flank ◽  
The Impact

Abstract Gearbox is commonly regarded as the most important power section of wind turbines which has been widely valued for its high malfunction rate. Gear fault researches mainly include wearing, pitting, spalling, breakage, falling off, etc, while little attention was paid to tooth Flank Pitch Error(FPE). Taking a single-stage parallel shaft spur gear as the research object, an 8-DOF gear transmission model and the FPE model were established in this paper and the gear’s time-varying meshing stiffness (TVMS) models with & without tooth FPE were obtained respectively, which the dynamic models with various tooth FPE values under different rotating speeds were simulated after. The simulation results showed that the TVMS mathematical model proposed in the paper under tooth FPE is practical at both low and high rotating speeds. Under the FPE model, side-bands are formed around each multiple of meshing frequency whose peaks are distributed by a fixed fault characteristic frequency ffp interval. The gearbox vibrates severely as the tooth FPE values and rotational speed grow. The peak value of the vibration signal is about 3 times that in case of fault-free state when the FPE value reaches 0.001rad, thus the impact of FPE on gearboxes cannot be neglected.

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