Considerations for the incorporation of measured surfaces in finite element models

Thompson, Mary Kathryn; Thompson, John M.

doi:10.1002/sca.20180

Cited by 38 publications

(15 citation statements)

References 64 publications

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“…6). This mesh permitted to introduce roughness error directly on the teeth surfaces by vertically moving the nodes along the direction normal to the surface [26].…”

Section: Numerical Simulation Of Transmission Error Of Helical Gearmentioning

confidence: 99%

Experimental and numerical study of tooth finishing processes contribution to gear noise

Jolivet

Mezghani

Isselin

et al. 2016

Tribology International

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a b s t r a c tThe contribution of gear tooth flank surface micro-finish on gear noise has not yet been taken into consideration. This paper is devoted to study the simultaneous effect of tooth roughness and lubricant viscosity on automotive gear vibrations. The vibrations performances were evaluated on an instrumented test rig under both dry and wet conditions. A non-destructive replication technique coupled to 3D optical measures was used to acquire the flanks topographies, which were characterized using multiscale decomposition. A three-dimensional finite element simulation of a helical gear was performed to assess the micro-scales impact on gear noise. Numerical representative surfaces morphologies were introduced into the simulation and compared through the transmission error calculation. Results have shown gear noise dependence on tooth finishing processes.

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“…6). This mesh permitted to introduce roughness error directly on the teeth surfaces by vertically moving the nodes along the direction normal to the surface [26].…”

Section: Numerical Simulation Of Transmission Error Of Helical Gearmentioning

confidence: 99%

Experimental and numerical study of tooth finishing processes contribution to gear noise

Jolivet

Mezghani

Isselin

et al. 2016

Tribology International

View full text Add to dashboard Cite

show abstract

“…(2) 确定性模型：确定性模型在接触分析过程中尽可能完整地保持了实测表面的几何信息，原始测量表面直接进入计算过程或将表面的局部微凸体根据其特征拟合成简单几何体进行求解，求解方法可以采用有限元法 [10][11] 、快速傅里叶变换 (Fast fourier transform, FFT)的方法 [12] 。确定性模型给出了对接触表面更精确的几何描述，适用于各种表面。 [21] 提出了多分辨率分析理论，对尺度因子 s 进行二进制离散，位移因子 t 进行均匀采样，即 2 …”

Section: 量设备的分辨率和采样间隔对统计参数的获取有很大的影响，这将给分析结果带来不确定性；其次大多统计性模型在中等载荷和重载unclassified

On the Multi-scale Contact Behavior of Metal Rough Surface Based on Deterministic Model

Shi¹

2017

JME

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Abstract：The multi-scale contact behavior has distinct impact on surface functional performances. To study the multi-scale contact behavior of metal surfaces, a method based on deterministic model of rough surfaces is presented. In this method, the surface data is measured using the profilometer, then the wavelet filter is used to decompose the measured rough surface. Based on the filtered data, the deterministic models of rough surfaces can be built using finite element method. The method is used to analyze the variation of dimensionless contact area with dimensionless contact load. The results show that the curves rise linearly with the same slope in a small pseudo-period, while the curves in a large pseudo-period rise in an exponential trend and rise with a steeper ratio as the pseudo-period increases. The effects of material properties on contact behavior in different scales are also analyzed. At last, the presented model and the results are validated by solving the Gaussian surface.

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“…Large-scale problems not only lead to the increase of runtime and the memory employed to solve it, but also causes the decrease of accuracy. Large-scale contact problems could be arisen from a car crash simulation [1], deterministic model of rough surface contact problem [2], etc. These applications play important roles in product development and scientific research.…”

Section: Introductionmentioning

confidence: 99%

Study on performance of Krylov subspace methods at solving large-scale contact problems

Shi

Liu

2015

Int J Adv Manuf Technol

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This paper discusses the performance of preconditioned Krylov subspace methods at solving largescale finite-element-formulated contact problems based on a finite element analysis program (FEAP) and portable, extensible toolkit for scientific computation (PETSc). Different combinations of the common preconditioners and Krylov subspace methods, namely conjugate gradient, generalized minimal residual, conjugate residual, biconjugate gradient, conjugate gradient square, biconjugate gradient stabilized, and transpose-free quasi-minimal residual method, are tested on the problems with rising size. Numerical experiments are carried out in respect of time consumption, parallelism, memory usage, and stability. The results show time consumption for most of combinations increases linearly with the growth of problem size, and block Jacobi and Jacobi-preconditioned conjugate gradient and conjugate residual methods have better potential for large-scale problems in the given and similar case.

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Considerations for the incorporation of measured surfaces in finite element models

Cited by 38 publications

References 64 publications

Experimental and numerical study of tooth finishing processes contribution to gear noise

Experimental and numerical study of tooth finishing processes contribution to gear noise

On the Multi-scale Contact Behavior of Metal Rough Surface Based on Deterministic Model

Study on performance of Krylov subspace methods at solving large-scale contact problems

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