Abstract
The third and final instability mechanism in the lead screw drives is the kinematic constraint. In Sect. 4.3, Painlevé’s paradoxes were introduced and – through simple examples – it was shown that under the conditions of the paradoxes, the rigid body equations of motion of a system with frictional contact do not have a bounded solution or the solution is not unique. We have also discussed the relationship between Painlevé’s paradoxes and the kinematic constraint instability mechanism.
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Notes
- 1.
See footnote on page 113.
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© 2010 Springer New York
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Vahid-Araghi, O., Golnaraghi, F. (2010). Kinematic Constraint Instability Mechanism. In: Friction-Induced Vibration in Lead Screw Drives. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1752-2_8
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DOI: https://doi.org/10.1007/978-1-4419-1752-2_8
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