Dynamic Analysis of Geared Shaft Systems By Using a Continuous System Model

Sener, Ozgun; Özgüven, H. Nevzat

doi:10.1006/jsvi.1993.1312

Cited by 11 publications

(8 citation statements)

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“…We make the standard assumption that the only flexibility of the gear pair is in the meshing teeth [2][3][4][5][6], and that the transmission is free of backlash. It is further assumed that there is no shaft bending.…”

Section: General Theorymentioning

confidence: 99%

“…A model for the gear flexibility, first suggested by Tuplin [1], consists of an infinitesimal gear mesh spring-damper element that is positioned in series with the gear transmission error excitation [2,3]. This model is widely used for gear modeling [2][3][4][5][6] and is adopted in this work as well.…”

Section: Introductionmentioning

confidence: 99%

“…An accurate model of the system requires modeling of the flexible shafts and their supports (boundary conditions) in addition to the gears flexibility. The dynamics of these elements is governed by the wave equation [4,7,8]. In [4] a continuous model for the gears and shafts, based on modal approach, was suggested.…”

Section: Introductionmentioning

confidence: 99%

“…The dynamics of these elements is governed by the wave equation [4,7,8]. In [4] a continuous model for the gears and shafts, based on modal approach, was suggested. Since the system has infinitely many modes, the solution is given in terms of infinite series.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Continuous Modeling of a Multi‐Link Flexible Transmission

Peled

Halevi

2007

Shock and Vibration

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The problem of dynamic, infinite dimension, modeling of a transmission is considered. An accurate Laplace transfer function matrix of the system that consists of flexible shafts connected by gears that are either rigid or flexible is found. The first step is deriving a set of single input, infinite dimension, transfer functions for a single uniform link. The building blocks of those transfer functions are time delays, representing the wave motion, and low order rational expressions, representing the boundary phenomena. The next step is combining these individual transfer functions into an overall model of the transmission, by means of the link reaction approach that makes use of the geometric relationships and reaction moments between neighboring links. The outcome is a generalized dynamic model with the moments in the gear pairs as the generalized state vector. The explicit and highly structured form of the transfer functions allows physical insight into the system, exact calculation of natural frequencies and the construction of exact simulation schemes built from standard blocks that are available in multi-purpose simulation software.

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Section: General Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Continuous Modeling of a Multi‐Link Flexible Transmission

Peled

Halevi

2007

Shock and Vibration

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“…Gear dynamic models are focused by many scholars. There is an extensive body of literatures on it [1][2][3][4][5][6][7][8][9]. Jin et al established gear dynamic models coupled with bending-torsion-axis-swing of mesh pairs based on lumped mass method [10].…”

Section: Introductionmentioning

confidence: 99%