A decomposition method for the fast computation of the transmission error of gears with holes

Benaïcha, Y.; Mélot, Adrien; Rigaud, Emmanuel; Beley, J.-D.; Thouverez, Fabrice; Perret-Liaudet, Joël

doi:10.1016/j.jsv.2022.116927

Cited by 11 publications

(2 citation statements)

References 25 publications

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“…Where, K represents the number of samples and e(β) represents the sum of loss functions [9]. In order to minimize the sum of loss functions, the feature weight values need to be solved, and the above expressions can be processed by the gradient descent algorithm, the specific formula is as follows.…”

Section: Smart Grid Data Feature Selectionmentioning

confidence: 99%

Fast cleaning method for smart grid data based on sparse self-coding

Pan

Wang

Huang

et al. 2023

Third International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022)

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At present, the data cleaning method based on time series realizes the data cleaning by classifying the data in the time series. Due to the lack of dimensionality reduction, the cleaning efficiency is low. For this reason, this paper proposes a method for rapid cleaning of smart grid data based on sparse self coding. In this paper, the encoder neural network is constructed to reduce the dimension of the data, and Logsf algorithm is used to obtain the optimal weight of the data, obtain the main characteristics of the data, and achieve clustering cleaning of the data. In the experiment, the cleaning efficiency of the proposed method was verified. The experimental results show that the method proposed in this paper has a short time delay and high cleaning efficiency for smart grid data cleaning.

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Section: Smart Grid Data Feature Selectionmentioning

confidence: 99%

Fast cleaning method for smart grid data based on sparse self-coding

Pan

Wang

Huang

et al. 2023

Third International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022)

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“…Shweiki et al (2017) used a nonlinear FE simulation with a detailed model of the mating gears to compare STE fluctuations between a thin-rim gear and others presenting slots and holes. Recently, Benaïcha et al (2022b) studied the impact of introducing holes in the gear blanks on the static transmission error and the mesh stiffness fluctuations using a 2D decomposition method by substructuring the holed gear blank from the gear teeth. Results show that the gears' dynamic behavior is affected by material substructuring, increasing the gear's compliance and raising the stress field's complexity in the gear body's critical areas.…”

Section: Introductionmentioning

confidence: 99%

Evaluating lightweight gear transmission error: a novel nonlinear finite element approach using direct constraint contact algorithm

Masmoudi,

Wojtowicki,

Petrone

et al. 2023

Front. Mech. Eng.

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With the growing demand for lightweight gear transmission systems, composite materials have emerged as a promising solution due to their high specific properties. However, the complexity of designing gear pairs with composite materials necessitates the development of reliable numerical procedures. This study presents a robust numerical approach using a flexible multibody method through the MSC MARC solver to accurately estimate static transmission error (STE) in lightweight gears, considering the nonlinear behavior caused by gear contact. The Finite Element (FE) model uses the Multi-Point Constraint equations (MPCs) to ensure the non-penetration condition considering a node-to-surface contact detection. The proposed method is compared against commercial software for standard gear pair cases, demonstrating its effectiveness in addressing complex structures based on composite materials. The numerical procedure is further applied to analyze hybrid metal-composite gear pairs and compared to a holed one. The results provide insights into the time evolution and harmonic components of STE, highlighting the advantages of hybrid gears in terms of reduced vibrations and noise for the same mass reduction compared to holed gears. Additionally, ply arrangements resulting in quasi-isotropic properties of the composite disc are compared to unidirectional laminates to highlight the fiber orientation effect on the STE results.

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Effect of gear topology discontinuities on the nonlinear dynamic response of a multi-degree-of-freedom gear train

Mélot

Benaïcha

Rigaud

et al. 2022

Journal of Sound and Vibration

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Weight reduction is a recurring concern in the design of modern mechanical systems. This search may lead engineers to resort to using gears with holes in order to meet their requirements. This paper presents a methodology to carry out nonlinear dynamic analyses of a gear transmission with holes in the gear blanks subjected to a multiharmonic internal excitation. This work investigates the influence of these holes on the vibration levels, occurence of contact loss and possible bifurcations. The numerical model features two flexible shafts coupled by a spur gear pair with holes. The gear model consists in two lumped masses and inertias and includes the gear backlash as well as the internal excitation sources that are the time-varying stiffness and the static transmission error (STE). The resulting mechanical system is solved in the frequency domain by the Harmonic Balance Method (HBM) coupled with an arc-length continuation algorithm and its stability is evaluated with Hill's method. Results show that adding holes not only impacts the STE but also the mesh stiffness. The interactions of these two quantities has a substantial influence on the bifurcation structure along the main solution branch and leads to a decrease of the span of vibro-impact regions. As the applied static torque is increased, it is found that using holed gear blanks can effectively prevent contact loss and lead to a linear response.

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A decomposition method for the fast computation of the transmission error of gears with holes

Cited by 11 publications

References 25 publications

Fast cleaning method for smart grid data based on sparse self-coding

Fast cleaning method for smart grid data based on sparse self-coding

Evaluating lightweight gear transmission error: a novel nonlinear finite element approach using direct constraint contact algorithm

Effect of gear topology discontinuities on the nonlinear dynamic response of a multi-degree-of-freedom gear train

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