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TECHNICAL PAPERS

Piece-Wise Linear Dynamic Systems With One-Way Clutches

[+] Author and Article Information
Eric M. Mockensturm1

Department of Mechanical and Nuclear Engineering,  Pennsylvania State University, 157 Hammond Building, University Park, PA 16802emm10@psu.edu

Raghavan Balaji

Department of Mechanical and Nuclear Engineering,  Pennsylvania State University, 157 Hammond Building, University Park, PA 16802

1

Corresponding author.

J. Vib. Acoust 127(5), 475-482 (Dec 06, 2004) (8 pages) doi:10.1115/1.1897737 History: Received January 05, 2004; Revised December 03, 2004; Accepted December 06, 2004

One-way clutches and clutch bearings are being used in a wide variety of dynamic systems. Motivated by their recent use as ratchets in piezoelectric actuators and decoupling devices in serpentine belt drives, a method of analysis of systems containing one-way clutches is presented. Two simple systems are analyzed. The goal of the first is the power transmission which would be of concern in an actuator. The goal of the second is decoupling large inertia elements to reduce loads in an oscillating system, the objective of the clutch in a serpentine belt drive. Results show how system parameters can be tuned to meet the desired performance of these piece-wise linear systems.

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Copyright © 2005 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

1:2 DOF (a) and 2:3 DOF (b) belt drive models with expanded view of one-way clutch

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Figure 2

Time history and phase space of a typical period of oscillation of a system with a one-way clutch

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Figure 3

Power transferred (solid) and efficiency (dashed) of the 1:2 DOF system

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Figure 4

Regions of parameter space of the 1:2 DOF system in which work is and is not done on the applied load. Combinations with maximum work are shown with circumscribed letter (see Table 2)

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Figure 5

Solid lines divide parameter space into regions in which the clutch is always engaged and regions in which it releases. Dashed lines indicate the natural frequencies of the engaged system. Dotted lines indicate the natural frequencies of the disengaged system.

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Figure 6

Division of parameter space into regions in which the 2:3 DOF system is always engaged (light gray), engages once per period (dark gray), and engages more than once per period (white)

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Figure 7

The percentage of time the 2:3 DOF system is engaged as a function of applied torque for various spring ratios

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Figure 8

The percentage of time the 2:3 DOF system is engaged as a function of spring ratio for various applied torques

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Figure 9

Level sets of the ratio of tension drop without the decoupler to that with the decoupler Black regions indicate parameter combinations in which the decoupler increases tension drop. The dashed line divides the space into regions in which the clutch is active and inactive (see Fig. 6). Tension drop with a clutch is less than without one in the cross-hatched region.

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