Experimental and Numerical Study of a Loaded Cylindrical PA66 Gear

Cathelin, Julien; Letzelter, Eric; Guingand, Michèle; Vaujany, Jean Pierre de; Chazeau, Laurent

doi:10.1115/1.4023634

Cited by 32 publications

(24 citation statements)

References 14 publications

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“…Based on this, Yelle [4] developed a method for the design of thermoplastic gears. A recent literature review shows a keen interest in the study of the structural analysis of plastic/plastic spur gears [5][6][7][8][9][10][11][12]. This is an addition to the development of analytical-iterative methods [13][14][15] to calculate the tooth root stress of plastic spur gears meshed with steel gears by taking the real contact ratio into consideration.…”

Section: Introductionmentioning

confidence: 99%

Real contact ratio and tooth bending stress calculation for plastic/plastic and plastic/steel spur gears

Jabbour¹,

Asmar

Abdulwahab

et al. 2021

Mechanics & Industry

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This paper presents an iterative method for calculating the effective contact ratio and the bending tooth stress for a pair of plastic/plastic and plastic/steel spur gears with an involute profile. In this method, the pinion and the gear are modeled, at each moment of the mesh cycle, as equivalent springs in parallel undergoing the same displacement along the line of action. This leads to the calculation of the bending stress by taking into account the number of teeth initially in contact and those which enter in contact prematurely. We also investigate the influence of certain gear parameters, such as, the number of teeth, the pressure angle, and the module on the behavior of a pair of meshed gears. In addition, the variation of the bending stress at the tooth fillet is investigated for a pair of plastic/plastic and a pair of plastic/steel spur gears, in order to determine the critical configurations for which the bending stress is maximum. In general, the results obtained from the present method also show that the stress variation in plastic/plastic gears differs markedly from that in plastic/steel gears.

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Section: Introductionmentioning

confidence: 99%

Real contact ratio and tooth bending stress calculation for plastic/plastic and plastic/steel spur gears

Jabbour¹,

Asmar

Abdulwahab

et al. 2021

Mechanics & Industry

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show abstract

“…Gear tooth deflection of the polymer gears was predicted using the linear material model. [1][2][3] Yelle and Burns 1 analyzed the deflection, load sharing, contact ratio, and compliance of steel-acetal and acetalacetal gear pairs using an analytical model. The springs analogous to the modulus of gear materials were modeled between the gear tooth surfaces, and the compliance was computed along the length of contact from beginning to end.…”

Section: Introductionmentioning

confidence: 99%

“…An accurate model involving nonlinear parameters such as timevarying mesh stiffness and load sharing ratio as a function of the contact point along the contact line was discussed. Cathelin et al 3 developed a quasi-static load sharing model to predict the mechanical behavior of polyamide 66 gears. The viscoelastic material model in its linear domain was considered and the load sharing, tooth root stress, and transmission error were predicted.…”

Section: Introductionmentioning

confidence: 99%

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Effect of strain rate on bending and transmission characteristics of injection molded polyamide 66 spur gears

Kodeeswaran

Suresh

Senthilvelan

2017

Proceedings of the Institution of Mechanical Engineers, Part L:

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Polymer material exhibits time-dependent mechanical behavior due to its viscoelastic characteristics. Thus, unlike steel gears, polymer gears exhibit complex behavior when transmitting loads at various rotational speeds. In general, gear tooth surfaces exhibit complex stress due to their nonconformal geometry. Hence, the nonlinear material and nonlinear geometric aspects of polymer gear mesh prompted an investigation of the bending and transmission characteristics of injection molded polyamide 66 gears at various strain rate conditions. The injection molded tensile specimens made from the gear material were subjected to various rates of loading. The stress–strain performance at various rates of loading was evaluated and used to model linear and nonlinear gear materials for the numerical analysis. The numerical investigation was carried out on the steel–polyamide gear pair with the commercial finite element analysis tool ABAQUS® to predict the bending stress and static transmission error. The predicted static transmission error of the gear pair was compared with the experimental results obtained using an in-house developed gear test rig. The bending stress with the linear material models was higher than that of the nonlinear material models. An increase in bending stress with the strain rate was observed in the case of the nonlinear material models. The static transmission error predicted with the nonlinear material model at a higher strain rate was lower for both the single tooth contact and the double teeth contacts.

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“…Δθ decreases with increasing K s . This causes the transmission error between the teeth to decrease, especially when the gears are made of a material of a small modulus of elasticity, such as a plastic material [13]. Combining Eqs.…”

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confidence: 98%