An Analytical Study of the Effect of the Contact Ratio on the Spur Gear Dynamic Response

Andersson, Åke

doi:10.1115/1.1320819

Cited by 18 publications

(18 citation statements)

References 8 publications

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“…It was observed that increasing the gear contact ratio reduced the dynamic load. This result was also observed by other researchers [30,31] while studying spur gears with symmetric teeth. In these studies, minimum dynamic loads were obtained for contact ratios between 1.8 and 2.0.…”

Section: Resultssupporting

confidence: 86%

Dynamic analysis of involute spur gears with asymmetric teeth

Karpat

Ekwaro-Osire

Çavdar

et al. 2008

International Journal of Mechanical Sciences

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Section: Resultssupporting

confidence: 86%

Dynamic analysis of involute spur gears with asymmetric teeth

Karpat

Ekwaro-Osire

Çavdar

et al. 2008

International Journal of Mechanical Sciences

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“…Andersson [13] established an approach that can be used to find the contact ratio analytically and use it so as not to avoid tooth separation close to frequencies that could otherwise cause an unbalanced response. Parker and Lin [14] analytically investigated the mesh phasing relationships in epicyclic gears and found that mesh phasing that is present between ring-planet mesh and sun-planet mesh have a significant impact on the static and dynamic behavior of epicyclic gears.…”

Section: Introductionmentioning

confidence: 99%

Reducing instabilities of mesh stiffness variation in two-stage gear using phasing method

Gawande

Palande

2020

JMST Adv.

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Mesh stiffness variation is a phenomenon that occurs in a mechanical system when there is a change in number of teeth within the system. This phenomenon leads to parametric instabilities and can cause gear systems to experience severe vibration. This paper investigates the effect of mesh stiffness parameters like mesh phasing and contact ratios, in reducing vibrations, when applied to two-stage gear train. Each gear pair is replaced by two gear pairs, each having half the width as that of primary gear pair. The present study has adopted a systematic approach to develop theoretical expressions for evaluation of instability regions that are created by the connections formed between stiffness variations present at the two meshes and four meshes of the primary gear pairs and replaced gear pairs, respectively. The paper has also studied primary instability, secondary instability and combined instability. Required mesh phasing to eliminate instability regions for four gear meshes was found numerically using MATLAB. It is observed that replaced four gear pairs with proper mesh phasing eliminate the instability regions of original two gear pairs of two stage gear train.

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“…The experimental and analytical results showed the method for choosing a proper contact ratio. Andersson 20 studied the influence of contact ratio on spur gear dynamic response theoretically by calculating the approximate center of the intervals where the response would be unbounded using the number of oscillations, and also gave the method to determine a proper contact ratio in order to eliminate the instability, or at least to reduce the width of the interval of instability near certain critical frequencies. In general, high contact ratio gears minimize dynamic load better than low contact ratio gears.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic study and vibration reduction of a power turret gear train with modified design parameters

Chen

2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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This work presents the nonlinear dynamic characteristics and vibration reduction of a numerical control power turret three-stage gear transmission system composed of four spur gears. Considering translational and rotational motions, the nonlinear lumped-parameter and multi-degrees of freedom models of modified and unmodified transmission systems are introduced to study the dynamic behavior while the time-varying mesh stiffness and backlash of gear mesh pairs are involved as internal excitations. For the requirement of high speed and low vibration, high contact ratio by modifying design parameters is suggested in this study. By numerical method, the dynamic vibration responses are calculated. Results in the time and frequency domains show that the vibration amplitudes and mesh forces are efficiently decreased after modification. The influences of key parameters, such as mesh stiffness, damping, backlash, and torque on the dynamic response are also studied here. To demonstrate the effectiveness of the proposed model, the vibration tests are conducted by two physical prototypes of the power turret. The values of vibration acceleration at different tests points and speeds are obtained and analyzed. Experimental results validate that the vibration of turret is decreased by the design improvement of gear system.

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An Analytical Study of the Effect of the Contact Ratio on the Spur Gear Dynamic Response

Cited by 18 publications

References 8 publications

Dynamic analysis of involute spur gears with asymmetric teeth

Dynamic analysis of involute spur gears with asymmetric teeth

Reducing instabilities of mesh stiffness variation in two-stage gear using phasing method

Nonlinear dynamic study and vibration reduction of a power turret gear train with modified design parameters

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