The measurement of static deflection in spur gear teeth

Furrow, R.W.; Mabie, H. H.

doi:10.1016/0022-2569(70)90019-4

Cited by 9 publications

(9 citation statements)

References 2 publications

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“…This simplified model represents a trapezoidal rack tooth with the same standard basic rack tooth profile as the gear. The same tooth model is adopted in this paper, based on the work by Yelle and Burns [14] which itself is a modification of the results found by Timoshenko and Baud [17], and was further verified experimentally by Furrow and Mabie [18].…”

Section: Tooth Deflectionmentioning

confidence: 99%

Tooth stress calculation of metal spur and helical gears

Jabbour¹,

Asmar

2015

Mechanism and Machine Theory

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Section: Tooth Deflectionmentioning

confidence: 99%

Tooth stress calculation of metal spur and helical gears

Jabbour¹,

Asmar

2015

Mechanism and Machine Theory

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“…29 The computational and experimental results showed that the plastic tooth deflections accounted for 98% of the total deflection of the two meshing teeth. Furrow and Mabie 30 proposed a design in which the acrylic gear tooth was replaced by a tapered cantilever beam. Deflections were calculated for the tapered beam using the equations developed by Timoshenko and Baud and compared with those found from the test.…”

Section: Rudimentary and Advanced Design Features Of Polymer And Polymentioning

confidence: 99%

“…Some studies are focused on the change in the profile of plastic gears by tooth deflection. [27][28][29][30][31] In the case of a polymer gear meshing with a metal gear, when the load was applied over the polymer gear tooth, it deflected, and a rotational lag occurred. To avoid this problem, a nylon gear was designed including a steel stiffener in the core of nylon tooth as shown in Figure 6.…”

Section: Rudimentary and Advanced Design Features Of Polymer And Polymentioning

confidence: 99%

Polymer spur gears behaviors under different loading conditions: A review

Singh

Siddhartha

Singh

2017

Proceedings of the Institution of Mechanical Engineers, Part J:

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The significance of polymer gears to transmit power and motion is increasing continuously due to their inherent characteristics. Polymer gears have established themselves as attractive alternatives to traditional metal gears in plethora applications. They are light in weight, have lower inertia, and run noiseless than their metal counterparts. This article presents a comprehensive review of the research on polymer spur gears operating under low (0–8 Nm) and moderate (>8 and ≤17 Nm) loading conditions. Different polymers and polymer composites used till date for the fabrication of such gears are included along with different operating conditions. Various design features of polymer gears and tooth modification techniques for the improvement of the performance and durability of these gears have also been included in this review. The aspects of the modeling and simulation studies of the polymer gears are also emphasized in this paper for completeness of the review. The concept of hybrid gears is discussed along with their tribological properties. Various methods of manufacturing of polymer gears and their failure modes are discussed so as to make the article useful for researchers.

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“…Terauchi and Nagamura 12 have suggested the fundamental formula for various external spur gear teeth deformations using conformal mapping and 2D theory of elasticity. Furrow and Mabie 13 have proposed a method for determining the deformations of a tapered cantilever beam, replacing the actual gear tooth, but closed to its shape, following Timoshenko beam theory in deformations analysis. The analytical results are compared with the experimental results.…”

Section: Introductionmentioning

confidence: 99%

Static load sharing by tooth pairs in contact in internal involute spur gearing with thin rimmed pinion

Sahoo

Maiti

2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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Involute toothed internal−external standard gear sets are modeled for load-sharing by the teeth pairs in mesh along the line of contact. An analytical solution is proposed. Considering the rigid body in rotation, it is assumed that angular rotation of a gear with respect to the other gear due to deformation along the line of contact is equal. The sum of the normal loads in all tooth pairs in contacts, which equals to the total transmitted load, is considered constant. All possible deformations such as, tooth bending deflection, tooth compressive (contact) deformation, tooth foundation deflection and tooth shearing deflection are considered in analyses. Detailed tooth geometries are incorporated in modeling. Ultimately, the map of load sharing by tooth pairs in contacts, at different angular position, over a cycle of similar contact pattern, is established. Finally, considering thin rimmed gears, the effects of the rim thickness on load sharing, which is the aim of the present investigation are analyzed and the results are presented in terms of backup ratios.

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The measurement of static deflection in spur gear teeth

Cited by 9 publications

References 2 publications

Tooth stress calculation of metal spur and helical gears

Tooth stress calculation of metal spur and helical gears

Polymer spur gears behaviors under different loading conditions: A review

Static load sharing by tooth pairs in contact in internal involute spur gearing with thin rimmed pinion

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