Influences of gear design parameters on dynamic tooth loads and time-varying mesh stiffness of involute spur gears

Doǧan, Oğuz; Karpat, Fatih; Kopmaz, Osman; Ekwaro-Osire, Stephen

doi:10.1007/s12046-020-01488-x

Cited by 14 publications

(18 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Accordingly, the coordinates of the point where maximum stress occurred were determined as the crack initiation point. 7,50 The obtained coordinates provided input data for crack propagation analyses performed.…”

Section: Methodsmentioning

confidence: 99%

“…We have presented detailed information regarding static structural and crack propagation analyses (for instance, boundary conditions, mesh convergence, and validation) in our previous studies. 7,50,53 From this standpoint, this study acquired the crack propagation paths for 16 gear geometries (Table 1) based on the previous studies.…”

Section: Methodsmentioning

confidence: 99%

“…They employed the tooth profile generating approach for improving accuracy and FE idealization. Later, Dog˘an et al 31 computed the TVMS for spur gears using the single-tooth stiffness values obtained by the FE method. The study evaluated the impact of various gear design parameters on contact ratio and TVMS.…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, numerous researches have been conducted regarding the mesh stiffness calculation methods. 11–31 Yang et al 11 investigated a spur gear pair’s nonlinear dynamic characteristics and calculated the TVMS using the potential energy method. They verified the developed overall model through the available experimental data in the literature.…”

Section: Introductionmentioning

confidence: 99%

“…To this end, 16 (4 × 4) gear geometries were created, considering four different backup ratios ( m b = 0.3-0.5-1-3.3) and DSPA ( α d = 20°-25°-30°-35°). We introduced the crack propagation paths obtained in our previous studies 7,50 through the ANSYS ® Workbench (ANSYS Inc., Canonsburg, USA) SMART Crack-Growth module to the created 3D CAD geometries. Next, the FE method was utilized to calculate the single tooth stiffness values of both healthy and cracked (25%-50%-75%-100%) gears.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Influence of tooth root cracks on the mesh stiffness of asymmetric spur gear pair with different backup ratios

Doǧan

Kalay

Karpat

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

Gears are critical machine elements that transmit power and motion in diverse implementation fields. Over time, gears may produce a series of faults due to harsh operating conditions, fatigue, manufacturing errors, etc., leading to severe performance degradation. During the meshing process, the stiffness of a single tooth controls the load sharing, vibration, and noise characteristics of a geared system. An undetected fault could decrease the gear stiffness and thus may lead to a fatal breakdown, substantial economic losses, or even human casualties in safety-critical applications such as helicopters, high-speed trains, and wind turbines. Hence, the accurate quantification of the gear stiffness emerges as an important research area to obtain reliable gear designs. With this in mind, the asymmetric tooth concept offers superior bending strength, fatigue propagation life, and the ability to lessen vibration over the standard (symmetric) designs in applications where unidirectional loadings are predominant. This study investigates the influence of tooth root cracks on the single-tooth and meshing stiffness characteristics of the standard and asymmetric involute spur gears. To this end, the numerical crack propagation paths obtained in our previous works were introduced to the created 3D CAD geometries. Subsequently, the single tooth stiffness of both healthy and cracked (2 5%-50%-75%-100%) gears was calculated through the ANSYS® Workbench, and the time-varying mesh stiffness was obtained. The present study evaluated the effects of backup ratio and the tooth asymmetry on the spur gears’ meshing stiffness characteristics simultaneously and further expanded the scope of the research work. The results indicated that the single tooth stiffness and mesh stiffness could be improved by 35% and 22%, respectively, as the drive side pressure angle increased from 20° to 35°. It has been noted that the gear stiffness decreased as the crack level increased, while the increment of the backup ratio further increased the reduction in the stiffness. The findings could provide significant outputs for a better understanding of the influence of tooth asymmetry on the gear dynamics characteristics, life prediction, and early fault diagnosis.

show abstract

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Influence of tooth root cracks on the mesh stiffness of asymmetric spur gear pair with different backup ratios

Doǧan

Kalay

Karpat

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

Performance reliability evaluation of high‐pressure internal gear pump

Tang,

Lu,

Zhu

et al. 2024

Quality & Reliability Eng

View full text Add to dashboard Cite

With the development of the high‐end equipment technology, the performance requirements of the internal gear pump (IGP) under high pressure are also increasing. However, the increase of working pressure will lead to the instability of gear pump performance in terms of volumetric efficiency, noise, reliability and so on, it is necessary to reasonably evaluate the reliability level of high‐pressure IGP. The reliability analysis of the high‐pressure IGP is carried out from the aspects of flow, noise, and gear strength in this paper. First, the output flow rate and far‐field flow‐induced noise of the high‐pressure IGP were obtained through fluid numerical simulation, and experimental verification was conducted. Then, based on the time‐varying meshing stiffness, backlash function and static transmission error of the gear pair, a nonlinear dynamic model of the internal meshing gear pair was established. The time‐varying meshing force was obtained through the dynamic model of the gear pair, and then the tooth contact stress and tooth root bending stress were obtained. Finally, considering the uncertain factors affecting the performance of the high‐pressure IGP, Latin hypercube sampling (LHS) combined with dendrite network (DD) was used for random response modeling. The performance reliability of the high‐pressure IGP, including output flow rate, far‐field flow‐induced noise, and the strength of gear pair, were estimated based on the fourth moment‐based saddlepoint approximation (FMSA). The reliability analysis results can provide a theoretical basis for the structural optimization design of the high‐pressure IGP.

show abstract

Analytical Model of Spur Gear Tooth Crack for Evaluating the Effect of Crack Propagation Angle on Vibration Response

Barot,

Kulkarni

2024

Lecture Notes in Mechanical Engineering

View full text Add to dashboard Cite

Influences of gear design parameters on dynamic tooth loads and time-varying mesh stiffness of involute spur gears

Cited by 14 publications

References 26 publications

Influence of tooth root cracks on the mesh stiffness of asymmetric spur gear pair with different backup ratios

Influence of tooth root cracks on the mesh stiffness of asymmetric spur gear pair with different backup ratios

Performance reliability evaluation of high‐pressure internal gear pump

Analytical Model of Spur Gear Tooth Crack for Evaluating the Effect of Crack Propagation Angle on Vibration Response

Contact Info

Product

Resources

About