Polygonal action in chain drives

Mahalingam, S.

doi:10.1016/0016-0032(58)90665-3

Cited by 34 publications

(15 citation statements)

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“…When θ 3 is neglected in the above expression, the result agrees with existing approximate result [7]. Note here, that the driver velocity may vary, i.e.…”

Section: Angular Velocitysupporting

confidence: 89%

“…The dynamics of the driven sprocket was considered by Mahalingam [7], who expressed the tension variation of the chain span due to polygonal action using the first harmonic term of a Fourier approximation. With this approximation, the driven sprocket is subjected to monofrequency forced vibration and high-frequency components originating from impact loading and discontinuity are unaccounted for.…”

Section: Introductionmentioning

confidence: 99%

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Kinematics of roller chain drives — Exact and approximate analysis

Fuglede

Thomsen

2016

Mechanism and Machine Theory

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An exact and approximate kinematic analysis of a roller chain drive modeled as a four-bar mechanism is presented. The span connects the sprockets such that they rotate in the same direction, and the sprocket size, number of teeth, and shaft center distance can be arbitrary. The driven sprocket angular position, velocity and acceleration, as well as span length, is calculated and their (discontinuous) variation with driver angular position and main design parameters is illustrated. Kinematic predictions for the chain span motion are compared to results of multibody simulation, and there is seen to be very good agreement. All together this gives new insights into the characteristics of chain drive kinematics and the influence of main design parameters.

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“…When θ 3 is neglected in the above expression, the result agrees with existing approximate result [7]. Note here, that the driver velocity may vary, i.e.…”

Section: Angular Velocitysupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Kinematics of roller chain drives — Exact and approximate analysis

Fuglede

Thomsen

2016

Mechanism and Machine Theory

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“…the review [19]. The study of sprocket and chain span motion introduced in [20,21] and subsequent studies [22] are based on the assumption that the driven sprocket angular velocity varies time-harmonically at the tooth frequency, due to the excitation coming from the variable velocity ratio between driver and driven sprocket. Comprehensive models are derived for belt drives [23] and engine timing chain drives [24], with non-linear transverse and longitudinal motion of the chain spans coupled to the displacements of pulleys/sprockets with flexible supports.…”

Section: Introductionmentioning

confidence: 99%

Kinematic and dynamic modeling and approximate analysis of a roller chain drive

Fuglede

Thomsen

2016

Journal of Sound and Vibration

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“…For earlier work, see e.g. [2,9]. The main reason for this situation is that the dynamic behavior is very complex, making it impossible to find general analytical procedures able to describe the problem thoroughly.…”

mentioning

confidence: 98%

Model of contact between rollers and sprockets in chain-drive systems

Pedersen

2005

Arch Appl Mech

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A model of a roller-chain drive is developed and applied to the simulation and analysis of roller-chain drives of large marine diesel engines. Two different ways of modelling the contact between the rollers and sprockets are presented; one using a circular shaped tooth profile and the other using the shape of a real tooth profile. The main components of the roller-chain drive model include the sprockets with different sizes and the chain made of rollers and links, which are represented by rigid bodies, mass particles and spring-damper assemblies, respectively. The contact between the rollers and the sprockets are represented by a continuous contact force. The models proposed effectively represent the polygonal effect always present in this type of drive. The numerical results from the simulations are compared with analytical results, for simplified models. The model with a real tooth profile proves superior to the model with a circular tooth profile. IntroductionThe work presented is a further development of the methods used in [11]. The purpose is to suggest a model that improves the simulation-based prediction of roller-chain forces. In particular, the model should improve numerical stability, link engagement with sprockets and the contact forces between rollers and sprockets.The dynamics of the roller-chain drives are characterized by a complex behavior with impacts between the chain links and sprockets, and by discontinuities in the system components' velocities giving rise to transversal and longitudinal vibrations of the spans of the chain. These events are the factors responsible for part of the noise presented by mechanical devices that use roller chains and ultimately by the wear of the roller-chain drives. Though roller chains have been used for a long time as a reliable mechanical component to transmit power and to handle materials mechanically, most studies of their dynamical behavior were done in the last decades, see e.g. [4,5,12,14,17,18]. For earlier work, see e.g. [2,9]. The main reason for this situation is that the dynamic behavior is very complex, making it impossible to find general analytical procedures able to describe the problem thoroughly. With the development of fast computers, some recent efforts have been put forward in order to better understand different aspects of these mechanical components, see e.g. [17]. In a review of the state-of-the-art in [18], many of the investigations that have been carried out are summarized and it states that integrated models describing the full dynamics of the system are necessary, in order to accurately describe the interrelation between the different elements in the chain drive system.The major difficulties in the study of the roller-chain drives are related to the roller-chain wrapping around the sprockets, which forms a polygon. This effect, called polygon action, together with the impact between rollers and sprockets are responsible for the noise andThe applications represent the ongoing work that resulted from many fruitful discussions with Per ...

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Polygonal action in chain drives

Cited by 34 publications

References 0 publications

Kinematics of roller chain drives — Exact and approximate analysis

Kinematics of roller chain drives — Exact and approximate analysis

Kinematic and dynamic modeling and approximate analysis of a roller chain drive

Model of contact between rollers and sprockets in chain-drive systems

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