Non-circular belt transmission design of mechanical press

Zheng, Enlai; Jia, Fang; Sha, Hao; Wang, Suhao

doi:10.1016/j.mechmachtheory.2012.07.004

Cited by 14 publications

(9 citation statements)

References 7 publications

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“…To introduce the KS design concept, we start with a shape defined by a constant force function and a constant applied weight function. Equations (12) and (13) describe the input functions used to derive the first 2D KS. The KS was started with an initial shape radius of 2.5 in (6.35 cm) and ends with a 5.46 in (13.86 cm) radius.…”

Section: Model Results Design Examplesmentioning

confidence: 99%

Kinetic Shapes: Analysis, Verification, and Applications

Handžić

Reed

2014

Journal of Mechanical Design

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A circular shape placed on an incline will roll; similarly, an irregularly shaped object, such as the Archimedean spiral, will roll on a flat surface when a force is applied to its axle. This rolling is dependent on the specific shape and the applied force (magnitude and location). In this paper, we derive formulas that define the behavior of irregular 2D and 3D shapes on a flat plane when a weight is applied to the shape's axle. These kinetic shape (KS) formulas also define and predict shapes that exert given ground reaction forces when a known weight is applied at the axle rotation point. Three 2D KS design examples are physically verified statically with good correlation to predicted values. Motion simulations of unrestrained 2D KS yielded expected results in shape dynamics and self-stabilization. We also put forth practical application ideas and research for 2D and 3D KS such as in robotics and gait rehabilitation.

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Section: Model Results Design Examplesmentioning

confidence: 99%

Kinetic Shapes: Analysis, Verification, and Applications

Handžić

Reed

2014

Journal of Mechanical Design

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“…Here, V ( ) is the force function applied at the shape axle ( ) and is perpendicular to the rolling surface. We define the polar tangential angle ( ( )) at an angular position ( ) between the polar curve vector ( ⃗ ( )) and tangential vector ( ⃗ / ) in (11) and is shown in Figure 4(b):…”

Section: Kinetic Shape Equation Of Motionmentioning

confidence: 99%

“…In machine systems and mechanical design, studies of gears and pulleys consider different types of dynamics within mechanisms, including forces between gear or pulley teeth and their elastic behavior as they are engaged [9,10]. Although these studies include the kinematics of circular and elliptical gears and drive shapes, they do little to address the effects of forced rolling of asymmetric shapes [11,12].…”

Section: Introductionmentioning

confidence: 99%

Two-Dimensional Kinetic Shape Dynamics: Verification and Application

Handžić¹,

Muratagic

Reed

2016

Journal of Nonlinear Dynamics

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A kinetic shape (KS) is a smooth two- or three-dimensional shape that is defined by its predicted ground reaction forces as it is pressed onto a flat surface. A KS can be applied in any mechanical situation where position-dependent force redirection is required. Although previous work on KSs can predict static force reaction behavior, it does not describe the kinematic behavior of these shapes. In this article, we derive the equations of motion for a rolling two-dimensional KS (or any other smooth curve) and validate the model with physical experiments. The results of the physical experiments showed good agreement with the predicted dynamic KS model. In addition, we have modified these equations of motion to develop and verify the theory of a novel transportation device, the kinetic board, that is powered by an individual shifting their weight on top of a set of KSs.

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“…It was discovered that the twopulley synchronous belt transmission could not maintain real-time tension during a drive cycle. Zheng et al [11] used a noncircular belt drive on a punching machine to obtain better quick-return characteristics, satisfying the requirements of a slow operating speed. However, only two noncircular pulleys were discussed.…”

Section: Introductionmentioning

confidence: 99%

Research and Test of Three-Pulley Noncircular Synchronous Pulley Transmission Mechanism with Minimum Slack

Chen

Sun

Chen

et al. 2021

Chin. J. Mech. Eng.

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The noncircular synchronous belt drive mechanism has demonstrated certain achievements and has been used in special fields. Research regarding noncircular synchronous belt drive mechanisms has focused on optimization design and kinematic analysis in China, whereas two pulley noncircular synchronous belt transmissions have been developed overseas. However, owing to the noncircular characteristics of the belt pulley, the real-time variation in the belt length slack during the transmission of the noncircular synchronous belt is significant, resulting in high probabilities of skipping and vibration. In this study, a noncircular tensioning pulley is added to create a stable three-pulley noncircular synchronous belt driving mechanism and a good synchronous belt tensioning, with no skipping; hence, the non-uniform output characteristic of the driven pulley is consistent with the theoretical value. In the circular noncircular noncircular three-pulley noncircular synchronous belt mechanism, the pitch curve of the driving synchronous belt pulley is circular, whereas those of the driven synchronous belt and tensioning pulleys are noncircular. To minimize the slack of the belt length of the synchronous belt and the constraint of the concavity and circumference of the tensioning pulley, an automatic optimization model of the tensioning pulley pitch curve is established. The motion simulation, analysis, and optimization code for a three-belt-pulley noncircular synchronous belt drive mechanism is written, and the variation in belt length slack under different speed ratios is analyzed based on several examples. The testbed for a circular–noncircular–noncircular three-pulley noncircular synchronous belt transmission mechanism is developed. The test shows that the three-pulley noncircular synchronous belt drives well. This study proposes an automatic optimization algorithm for the tensioning pulley pitch curve of a noncircular synchronous belt transmission mechanism; it yields a stable transmission of the noncircular synchronous belt transmission mechanism as well as non-uniform output characteristics.

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Non-circular belt transmission design of mechanical press

Cited by 14 publications

References 7 publications

Kinetic Shapes: Analysis, Verification, and Applications

Kinetic Shapes: Analysis, Verification, and Applications

Two-Dimensional Kinetic Shape Dynamics: Verification and Application

Research and Test of Three-Pulley Noncircular Synchronous Pulley Transmission Mechanism with Minimum Slack

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