Load Distribution Analysis Method for Cylindrical Worm Gear Teeth

Sudoh, Katsuzo; Tanaka, Yasuyuki; Matsumoto, Susumu; Tozaki, Yasuyoshi

doi:10.1299/jsmec1993.39.606

Cited by 6 publications

(11 citation statements)

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“…The forementioned procedure can be applied to investigate the mesh stiffness variation along tooth flank, the distribution of loads along Iines of contact, and fillet stresses for, practîcally, any worm gear set under given running conditions. To gain recognition, the procedure was later applied to the gears given in [1], that were analyzed analytically using a Matrix transformation and a numerical procedure and experimentally using Laser Holographic Interferometry. Both gears given in [1] and in this study were running under same loading conditions.…”

Section: Analytical Results and Discussionmentioning

confidence: 99%

“…To gain recognition, the procedure was later applied to the gears given in [1], that were analyzed analytically using a Matrix transformation and a numerical procedure and experimentally using Laser Holographic Interferometry. Both gears given in [1] and in this study were running under same loading conditions. Fillet stress results obtained from [IJ were then compared with those obtained when the procedure presented in this study is used.…”

Section: Analytical Results and Discussionmentioning

confidence: 99%

“…This approach was first introduced by Tredgold [11] for modeling helical and bevel gears. Figure (1) shows the main geometry and the slicing of the worm gear set as weil as the various contact lines that take place along the tooth flank during meshing for a given instant of time. Note that the number of contact Unes is determined by the magnitude of the contact ratio.…”

Section: Gear Mesh Mûdeungmentioning

confidence: 99%

“…One of the main tasks in the determination of load distribution is to find a reliable method for the calculation of tooth stresses, lubrication characteristics, and scoring resistance of a given gear set. In [1][2][3][4][5][6] different methods were used for the calculation of tooth loading, stresses and deformation. An empirical formula for bending deflection was used in [1] to obtain a transformation matrix for calculating load.…”

Section: Introductionmentioning

confidence: 99%

“…In [1][2][3][4][5][6] different methods were used for the calculation of tooth loading, stresses and deformation. An empirical formula for bending deflection was used in [1] to obtain a transformation matrix for calculating load. By combining a discretized gear model with finite element analysis (FEA), the authors in [2] were able to calculate tooth loading taking into account the varying meshing stiffness, geometric modification and elastic deflection of the engaged gears.…”

Section: Introductionmentioning

confidence: 99%

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Load and Stress Analysis of Cylindrical Worm Gearing Using Tooth Slicing Method

Falah

Elkholy

2006

Transactions of the Canadian Society for Mechanical Engineering

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A method for the determination of load and stress distributions of the instantaneously engaged teeth of cylindrical worm gears is represented in this paper. The method is based on the assumption that both the worm and gear can be modeled as a series of spur gear slices. The exact geometry and point of load application of each slice depends on its location within the mesh. By calculating the applied load and stress for each slice, the same can be determined for the entire worm gear set. The method takes into consideration tooth stiffness variation from root to tip, tooth bending deflection, local contact deformation, tooth foundation deformation and, the influence of gear parameters on load and stress. Calculated results were found to be in agreement with experimental and analytical ones obtained from literature under given operating conditions.

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Section: Analytical Results and Discussionmentioning

confidence: 99%

Section: Analytical Results and Discussionmentioning

confidence: 99%

Section: Gear Mesh Mûdeungmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Load and Stress Analysis of Cylindrical Worm Gearing Using Tooth Slicing Method

Falah

Elkholy

2006

Transactions of the Canadian Society for Mechanical Engineering

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Analytische Methode zur Berechnung der Nennspannungen im Zahnfuß von Schneckenwellen

Gründer

Monz

2023

Forsch Ingenieurwes

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According to the state of the art, worm gears are designed due to the softer bronze-material of the worm wheel primarily against damage of the wheel because of wear, pitting or breakage of the teeth. The aim of research in the last decades is to optimize the load capacity on the worm wheel by using higher-strength bronze alloys, cast iron or steel to increase the transmission capacity of worm gears. This development may lead to an increased number of damage cases on the worm shaft. In literature, documented cases of tooth segment fractures of the worm shaft can already be found. Since the worm is only designed against deflection according to the state of the art, there is a need for a method to calculate the material stress in worm shafts. This paper presents an analytical method based on the nominal stress approach for calculating bending, compression, and shear stresses in the tooth root of worm shafts to close this gap. The stresses resulting from different load distributions in the tooth contact due to assembly deviations are calculated with the presented method and compared with results from the Finite Element Method.

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Load Sharing of Worm Gear With a Plastic Wheel

Hiltcher

Guingand

Vaujany

2006

Journal of Mechanical Design

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The material of the wheel in a worm gear has to be nonrigid due to very high sliding velocity. Such gears are currently made of plastic in the case of a small module. The present paper describes an original method for studying the quasi-static loaded behavior of a worm gear, with a steel worm and a nylon wheel. Plastics are viscoelastic materials and do not obey Hooke’s law. This paper describes an elaborated method that is a generalization of Kelvin’s model. The computation also uses experimental tests to obtain data relating to the plastic. The computation of the load sharing is described and uses the equation of displacement compatibility. The history of previous deformation and the effect of the nylon’s structural damping are taken into account. At a given constant temperature, the load sharing, meshing stiffness, and loaded transmission error depend on the driving torque and time, that is to say speed of rotation.

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Load Distribution Analysis Method for Cylindrical Worm Gear Teeth

Cited by 6 publications

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Load and Stress Analysis of Cylindrical Worm Gearing Using Tooth Slicing Method

Load and Stress Analysis of Cylindrical Worm Gearing Using Tooth Slicing Method

Analytische Methode zur Berechnung der Nennspannungen im Zahnfuß von Schneckenwellen

Load Sharing of Worm Gear With a Plastic Wheel

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