An analytical model for accurate and numerically efficient tooth contact analysis under load, applied to face-milled spiral bevel gears

Vivet, Mathijs; Mundo, Domenico; Tamarozzi, Tommaso; Desmet, Wim

doi:10.1016/j.mechmachtheory.2018.08.016

Cited by 53 publications

(17 citation statements)

References 31 publications

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“…The variability of the contact mechanics leads to nonlinear problems, whose analytical solutions are too difficult to be suitable. Hence, over the last decades of the twentieth century, TCA has been commonly extended with finite element analysis (FEA) [13] or with analytical multibody approaches [10].…”

Section: Tooth Contact Analysismentioning

confidence: 99%

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Design and Prototyping of Miniaturized Straight Bevel Gears for Biomedical Applications

et al. 2019

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This paper presents a semi-automated design algorithm for computing straight bevel gear involute profiles. The proposed formulation is based on the Tredgold approximation method. It allows the design of a pair of bevel gears with any desired number of teeth and relative axes inclination angles by implementing additive manufacturing technology. A specific case study is discussed to calculate the profiles of two straight bevel gears of a biomedical application. Namely, this paper illustrates the design of the bevel gears for a new laparoscopic robotic system, EasyLap, under development with a grant from POR Calabria 2014–2020 Fesr-Fse. A meshing analysis is carried out to identify potential design errors. Moreover, finite element-based tooth contact analysis is fulfilled for determining the vibrational performances of the conjugate tooth profiles throughout a whole meshing cycle. Simulation results and a built prototype are reported to show the engineering feasibility and effectiveness of the proposed design approach.

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Section: Tooth Contact Analysismentioning

confidence: 99%

“…Face milling and face hobbing are two of the main generating methods. However, they do not guarantee customizable control of the tooth profile and good vibrational performances when applying small loads [10]. Accordingly, a specific design methodology is herewith proposed.…”

Section: Introductionmentioning

confidence: 99%

Design and Prototyping of Miniaturized Straight Bevel Gears for Biomedical Applications

et al. 2019

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“…Bodzas [12] carried out loaded tooth contact analysis of straight bevel gears and obtained the mechanical characteristics by different loads. Vivet et al [13] proposed a multi-body meshing analysis method and analysed the transmission error and contact patterns of spiral bevel gears. Lin [14] presented the loaded contact analysis of curve-face gear pair.…”

Section: Introductionmentioning

confidence: 99%

A Loaded Analysis Method for RV Cycloidal-pin Transmission Based on the Minimum Energy Principle

Tian

2020

SV-JME

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Due to the complexity of load distribution and contact conditions, as well as the lack of effective analysis methods, the theoretically designed rotary vector (RV) cycloidal-pin drive with good meshing characteristics shows poor loaded performance in practical applications. In this paper, an effective analysis method based on the minimum energy principle is proposed, which can accurately obtain the real loaded characteristics in line with the actual operations. In the process of loaded analysis, through the innovative introduction of the minimum energy principle, the actual number of teeth engaged simultaneously was accurately determined, which directly affects the quality of meshing. The results of simulation and measurement experiment demonstrate the correctness and practicability of the theoretical analysis method and the effectiveness of the introduction of the minimum energy principle. This study solves the problem that the actual meshing performance is inconsistent with the theoretical analysis results, and provides an effective way for the improvement and pre-control of the transmission accuracy and meshing quality of the robot RV reducer.

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“…In their model, the gear body induced tooth deflection was calculated using the model proposed by Sainsot et al [1]. Vivet et al [21] gave one analytical formula to evaluate gear body induced tooth deflections. But, they did not give details how the formula was derived.…”

Section: Introductionmentioning

confidence: 99%

A Detailed Investigation of Gear Body-Induced Tooth Deflections and Development of an Improved Analytical Solution

et al. 2020

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Many researchers have developed analytical methods to evaluate gear meshing stiffness. Some of these methods ignored the effect of the gear body while others used a simplified model to consider its effect. Until now, a detailed investigation of gear body-induced tooth deflections has been rare, especially for the double-tooth-pair meshing period. In this study, we present a detailed investigation of gear body-induced tooth deflections. To be specific, we will discuss how to accurately evaluate gear body-induced tooth deflections using the finite element analysis, and what are the effect of parameters such as loading and gear parameters on gear body-induced tooth deflections. Then, an improved solution is developed for evaluating the body-induced tooth deflection. In the single-tooth-pair meshing period, the improved formula is developed based on a popular formula proposed by Sainsot and Velex. This is achieved by optimizing the coefficients used in their formula to make the formula more accurate to evaluate gear body-induced tooth deflections. Meanwhile, we introduce a new term called affiliated body stiffness to evaluate the body-induced tooth deflections in the double-tooth-pair meshing period. The improved method can give higher accuracy in evaluating gear body-induced tooth deflections of spur gears with a pressure angle of 20°.

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An analytical model for accurate and numerically efficient tooth contact analysis under load, applied to face-milled spiral bevel gears

Cited by 53 publications

References 31 publications

Design and Prototyping of Miniaturized Straight Bevel Gears for Biomedical Applications

Design and Prototyping of Miniaturized Straight Bevel Gears for Biomedical Applications

A Loaded Analysis Method for RV Cycloidal-pin Transmission Based on the Minimum Energy Principle

A Detailed Investigation of Gear Body-Induced Tooth Deflections and Development of an Improved Analytical Solution

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