Analysis of roller chain sprocket pressure angles

Naji, Mohammad R; Marshek, Kurt M.

doi:10.1016/0094-114x(84)90042-9

Cited by 22 publications

(10 citation statements)

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“…Naji and Marshek (9) have theoretically analysed the case for a worn straightbar chain, while the worn cranked chain is discussed in the present paper. Figure 2 shows the chain bearing geometry for cranked or offset chain and straight sidebar chain.…”

Section: Introductionmentioning

confidence: 98%

Forces in a Heavy-Duty Drive Chain during Articulation

Hollingworth

Hills

1986

Proceedings of the Institution of Mechanical Engineers, Part C:

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A rigid-body analysis is presented of the forces which occur in a chain bearing during articulation. Coulomb frictional effects due to unlubricated contact are included, as these provide the energy source for deleterious wear processes and affect the force distribution. The analysis differentiates between the two types of chain bearing-open end leading or open end trailing-and the results show that the force characteristics in each are significantly different. Experimental verification of the chain link tension is good. NOTATIONpin-bush normal contact force in articulating bearing link in tight span articulating chain link, precedes link Lo link engaged on sprocket number of teeth in driver sprocket number of teeth in driven sprocket chain link tension from tight span chain link tension immediately preceding articulating bearing bush internal radius bush outside radius bush-roller normal contact force in articulating bearing sprocket tooth force, upon articulating bearing total angle of articulation instantaneous angle of articulation coefficient of Coulomb friction between articulating pin-bush pair coefficient of Coulomb friction between articulating roller-bush pair nominal pressure angle angle of repose for pin-bush normal contact force with respect to corresponding link force angle of repose for bush-roller normal contact force with respect to the engaged tooth force 4 + m -e

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Section: Introductionmentioning

confidence: 98%

Forces in a Heavy-Duty Drive Chain during Articulation

Hollingworth

Hills

1986

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…In the 1950s and 1960s, Binder [1] and Rachner [2] presented the ® rst step to an analysis of forces and stresses in a chain drive, by assuming that the contact angle relative to the symmetry line of each tooth was constant. In the early 1980s, Naji [3] and Naji and Marshek [4,5] complemented Binder' s and Rachner' s research by theoretical and experimental investigations studying contact phenomena under quasi-static conditions due to non-trivial geometry of the sprocket tooth. In the 1990s, Kim and Johnson [6,7] improved the model employed by Naji [3] and Naji and Marshek' s [4,5] model using the full ANSI standard geometry.…”

Section: Introductionmentioning

confidence: 99%

A method to determine the dynamic load distribution in a chain drive

Troedsson¹,

Vedmar²

2001

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper presents a method to calculate the forces in a chain and, thus, the resulting load distribution along the sprockets in a chain transmission working at a moderate or high speed. When the chain drive is loaded, the rollers that contact the sprockets will move along the flanks to different height positions. There are mainly two different ways to determine the actual positions: to assume the positions or to use force equilibrium and to calculate the positions. To find the correct solution the geometry and the force equilibrium are used which will give each roller's position, along the flank. This method demands knowledge of all parts of the chain, even the slack part. Therefore it has been necessary to model both the connecting tight and the slack spans in which power between the two sprockets is transmitted. The gravitational force acting at the chain has been included in the complete model so that the position of the rollers and the forces in the links at the slack span can be calculated. The elastic deformation in the chain has also been included. The moment of inertia in the two sprockets and in the outer geometry has been taken into account, but not the inertia forces in the chain.

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“…It was also found that a sprocket with a fewer number of teeth can accommodate a higher percentage pitch difference without jumpage. Naji and Marshek (1984) pointed out that in cases where the pitch difference is due to wear-elongation of the chain, the contact points and, consequently, the pressure angles and the chain articulation angles each converge to two distinct values. These two values are only a function of the pitch difference.…”

Section: Introductionmentioning

confidence: 99%

“…In the case of the pitch difference between the chain links and the sprocket teeth, it was found that a larger pitch of the sprocket tooth amplifies the tension in the chain link. Naji and Marshek (1984) examined the effect of the pitch difference on the roller-chain articulation angles and pressure angles. The tooth surface assumed to consist of four portions: seating curve, working curve, straight portion, and topping curve.…”

Section: Introductionmentioning

confidence: 99%

Chain Link Deformation in the Nonlinear Dynamics of Tracked Vehicles

Sarwar

Nakanishi

Shabana

1995

Journal of Vibration and Control

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In this investigation, a computational finite element procedure for the deformation and stress analysis of the chain links of tracked vehicles is presented and used to examine the validity of using the static approach in the design and stress analysis of tracked vehicles. The contact forces resulting from the interaction between the track links and the vehicle components (sprocket, idler, and the rollers) as well as the interaction between the track links and the ground are evaluated using continuous force models, which are used to define generalized contact forces associated with the deformation degrees of freedom of the track links using the virtual work. The dynamic forces including the contact forces used in the finite element procedure developed in this investigation are evaluated using a 54-body vehicle model in which the track is modeled as a closed kinematic chain with 42 degrees of freedom. It is demonstrated in this study that the effect of the contact forces is more significant as compared to the effect of the rigid-body inertia forces of the chain links, and consequently, it is assumed that the deformation of the track links does not have a significant effect on the overall motion of the vehicle. In the finite element computational procedure used in this study, three-dimensional solid elements are used to discretize the links of the track chain. The numerical results presented in this investigation demonstrate that the use of the static analysis may lead to low estimates of the stresses of the track links as compared to those obtained by a dynamic stress analysis that takes into consideration the time history of the forces.

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Analysis of roller chain sprocket pressure angles

Cited by 22 publications

References 0 publications

Forces in a Heavy-Duty Drive Chain during Articulation

Forces in a Heavy-Duty Drive Chain during Articulation

A method to determine the dynamic load distribution in a chain drive

Chain Link Deformation in the Nonlinear Dynamics of Tracked Vehicles

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