Time-varying mesh stiffness calculation of cracked spur gears

Ma, Hui; Song, Rongfang; Pang, Xu; Wen, Bangchun

doi:10.1016/j.engfailanal.2014.05.018

Cited by 276 publications

(112 citation statements)

References 20 publications

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“…The tooth root transition curves are the equidistant curve of the extended involute. In the Cartesian coordinate system, the parametric equation [24] of the tooth root transition curve is as follows:…”

Section: Modelling Of Carburized Layersmentioning

confidence: 99%

Meshing Simulation and Strength Calculation of a Carburized Gear Pair

Li¹,

Zhang²,

Wnag³

2017

Int. j. simul. model.

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The material in the carburized layer of a carburized gear is nonlinear. However, no systematic theory and method is available to analyse the strength of nonlinear materials; thus, calculating the exact strength of carburized gears is difficult. The traditional method of calculating the strength of carburized gears considered the material as uniform, which is susceptible to make errors. To address this problem, a hierarchical simulation method was proposed to calculate the strength of carburized gears. The strength calculation principle of carburized gears was first analysed. Then, a solid modelling method of carburized gears was presented based on the extraction technology of the layered homogeneous material. Finally, the meshing process of carburized gears was simulated, and the distribution and variation laws of the root, contact, and shear stresses during the meshing process were determined accurately. Results show that the shear stress of carburized gears initially increases and then decreases along with depth direction, and the maximum value appears in the surface below. However, the shear stress of non-carburized gears decreases linearly. The equivalent stress of the two kinds of gears decreases linearly with depth direction, whereas the decreasing amplitude of the carburized gears is larger than that of the non-carburized gears. A significant error in the calculation of the strength of carburized gears can be clearly observed using the traditional method. By selecting the appropriate parameters, the method proposed in this study can be used to simulate the meshing process of the carburized gear pair and calculate its strength accurately.

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Section: Modelling Of Carburized Layersmentioning

confidence: 99%

Meshing Simulation and Strength Calculation of a Carburized Gear Pair

Li¹,

Zhang²,

Wnag³

2017

Int. j. simul. model.

View full text Add to dashboard Cite

show abstract

“…The methods of TVGS calculation in previous studies can generally be categorized as finite element method (FEM) [5], experimental method [6] and analytical method [7][8][9][10][11], among which FEM and experimental method both require precise experiment facilities, though they have a higher accuracy. However, the analytical method provides an alternative to the FEM and the experimental method for its high efficiency to obtain gearmesh stiffness.…”

Section: Introductionmentioning

confidence: 99%

“…Chen [10] took non-uniformly distribution of crack along tooth width into consideration. Ma [11] evaluated the gearmesh stiffness of a cracked spur gear set by regarding the limiting line as a parabolic curve.…”

Section: Introductionmentioning

confidence: 99%

“…The straight line model [9] and parabolic curve model [11] are used to calculate the reduction of bend and shear stiffness in aforementioned works. However, it is obviously inaccurate because the existence of a crack in the beam memorably changes the stress and strain fields in the vicinity of crack, leading to stress concentration at the crack tip.…”

Section: Introductionmentioning

confidence: 99%

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A new model for calculating time-varying gearmesh stiffness

Lei¹,

Wang²,

Liu³

et al. 2017

Vib. proced.

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Abstract. Time-varying gearmesh stiffness (TVGS) is the main cause of gear vibration, and its accuracy affects the responses of dynamic models. An exponential curve model based on the Saint Venant's Principle is proposed to calculate the gearmesh stiffness of cracked spur gears in this paper. With the proposed model, the TVGS under the circumstances of healthy condition and four crack cases are computed, whose results have a good agreement with those of finite element method (FEM). Therefore, the exponential curve model can be used to estimate the TVGS and an alternative to FEM in gearmesh stiffness calculation is provided.

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“…Karpat et al [8] studied the dynamic characteristics of the asymmetric spur gear, but did not consider the factor of tooth width. To date, two-dimensional equations have mainly been used to describe the tooth profile curves rather than the tooth surface [9]. Shun and Yan [10] created a three-dimensional gear model in Pro/E, and then imported it to ANSYS for dynamic simulation analysis.…”

mentioning

confidence: 99%

Accurate Modelling and Transient Meshing Analysis of Involute Spur Gear Based on the Principle of Gear Shaping

Zeng¹,

Wang²,

Wan³

et al. 2017

Int. j. simul. model.

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The gear is one of the most widely used and vital parts having freeform surfaces. Accurate modelling and strength calculation are the basis of gear design and optimization. The traditional gear design and the existing finite element analysis methods cannot effectively solve these problems. Only a simple model can be established and the static strength analysis can be carried out at a certain meshing position. In this study, accurate equations of the tooth surfaces of a spur gear were derived based on the principle of gear shaping. Then, the parametric finite element modelling and simulation of the transient meshing of the spur gear have been realized using ANSYS software, and the stress distribution and variation trends of the gear during the meshing process have been analysed. Finally, the method is verified by simulation and comparison. The analysis results show that the effect of the tooth fillet surface on the strength of the gear is very large, and the bending stress and contact stress of the gear are nonlinear in the meshing process. The proposed method can accurately establish the model including the tooth fillet surface of the spur gear, and accurately analyse the strength of the spur gear pair. This makes up for the shortcomings of the existing method, and can be applied to other gear forms after appropriate modification.

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Time-varying mesh stiffness calculation of cracked spur gears

Cited by 276 publications

References 20 publications

Meshing Simulation and Strength Calculation of a Carburized Gear Pair

Meshing Simulation and Strength Calculation of a Carburized Gear Pair

A new model for calculating time-varying gearmesh stiffness

Accurate Modelling and Transient Meshing Analysis of Involute Spur Gear Based on the Principle of Gear Shaping

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