Synthesis of a four bar linkage with a ternary couplar

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SUMMARY

The discussion focuses on designing a four bar linkage for a bicycle rear shock, specifically utilizing a virtual pivot point mechanism. The critical requirement is to create a coupler curve that traces an S-shaped path while ensuring the instantaneous center of rotation for the rear triangle (ternary coupler) is positioned correctly above the rear axle during compression and below during extension. The user considers employing the Freudenstein equation for synthesis but acknowledges the complexity of the problem. Additional resources on the virtual pivot point mechanism are provided for further understanding.

PREREQUISITES
  • Understanding of four bar linkage mechanisms
  • Familiarity with virtual pivot point concepts
  • Knowledge of the Freudenstein equation for linkage synthesis
  • Basic principles of bicycle suspension design
NEXT STEPS
  • Research the application of the Freudenstein equation in complex linkage designs
  • Explore advanced techniques for generating coupler curves in mechanical linkages
  • Study the dynamics of bicycle suspension systems
  • Investigate software tools for simulating four bar linkages
USEFUL FOR

Mechanical engineers, bicycle designers, and anyone involved in the development of suspension systems for bicycles will benefit from this discussion.

MechE
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Hi there!
Currently i am trying to design a four bar linkage for a bicycle rear shock.
You can find this linkage at here
http://ffden-2.phys.uaf.edu/211_fall2010.web.dir/Michael_Stanfill/VirtualPivot.html
This linkage is called virtual pivot point.
Critical part of this design is to achieve a coupler curve for rear axle in a way that it traces an S shaped path but also the instantenous centre of rotation for rear triangle(ternary coupler-which is the intersection of lines passing through two small linkages) must be above the rear axle for compression and below the rear axle for extension (this way suspension mechanism corrects itself)
I thought i can use freudenstein equation for synthesis but the problem is more complicated.
Thank you for your help!
(There is another explanation of this virtual pivot point mechanism at here http://www.lapierrebikes.com.au/technologies/fps)
 
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You have not given any dimensions or limits of movement.
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