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RESEARCH PAPERS

Introduction to Compliant Long Dwell Mechanism Designs Using Buckling Beams and Arcs

[+] Author and Article Information
Ümit Sönmez

Mechanical Engineering Department, Applied Mechanics Division, Istanbul Technical University, Istanbul, 34437, Turkeyusonitu@gmail.com

J. Mech. Des 129(8), 831-843 (Jul 02, 2006) (13 pages) doi:10.1115/1.2735337 History: Received September 30, 2005; Revised July 02, 2006

New classes of compliant long dwell mechanism designs are introduced, formulated, and simulated. These classes of compliant dwell mechanisms incorporate the buckling motion of flexible members. Long dwell motion is obtained throughout the buckling motion of a flexible follower. Flexible buckling members are modeled using polynomial functions fitted to nonlinear inextensible exact elastica theory. The displacement analysis of the mechanisms is done quasi-statically using loop closure theory, static equilibrium of flexible parts represented by polynomial load deflections. One example of each new mechanism and its simulation results are presented.

Copyright © 2007 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Compliant dwell mechanism with an initially straight follower (mechanism I)

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Figure 2

Compliant dwell mechanism with a buckling arc follower (mechanism II)

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Figure 3

Three different configurations of mechanism II: (a) Initial position of the compliant mechanism, (b) Before the flexible beam buckles, and (c) After the flexible arc snaps through

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Figure 4

Mechanism I dimensions and vector loop closure

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Figure 5

Free body diagram of mechanism I

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Figure 6

Buckling of pin-pin beam; the exact elastica solution and the corresponding fourth order fit

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Figure 7

Dwell mechanism I simulation with and without stopper

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Figure 8

Dwell mechanism I horizontal component of spring force with and without stopper

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Figure 9

Dwell mechanism I linear spring length, with and without stopper

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Figure 10

Buckling of a coil spring with pinned ends (47)

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Figure 11

Proposed method to check the simulation results of mechanism I. This case was studied by Shoup (1969)

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Figure 12

Mechanism I range response comparing with Shoup’s results

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Figure 13

Loop closure of mechanism II

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Figure 14

Force equilibrium of compliant mechanism II parts

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Figure 15

Snap through bucking of the flexible arc. The exact elastica solution and the corresponding ninth-order fit

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Figure 16

Load-deflection response of a flexible arc pushed by a quasi-statically increasing/decreasing constant force

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Figure 17

Load-deflection response of the arc pushed by a spring

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Figure 18

Finding the initial conditions at the snap-through and snap-back points

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Figure 19

(a-b) Proposed methodology to find initial conditions: (a) During snap-through buckling and (b) During snap-back buckling

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Figure 20

Comparison of dwell response and its average rectangular pulse versus crank angle

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Figure 21

Flexible coupler deflection versus crank angle

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Figure 22

Buckling of the flexible coupler and its mechanism response range

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Figure 23

Snap through buckling of the arc and the mechanism response

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Figure 24

One piece fixture design to be attached to a rigid crank resulting in a partially compliant three-bar dwell linkage

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