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Mathematical Modeling of Lead Screw Drives

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Friction-Induced Vibration in Lead Screw Drives

Abstract

In this chapter, a collection of mathematical models are developed which are used to study the dynamic behavior of lead screw systems in the subsequent chapters. Depending on the system elements considered and the type of analysis undertaken, different models are developed with varying number of degrees of freedom.

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Notes

  1. 1.

    This model is sometimes known as the Tustin model [16].

  2. 2.

    By suitably selecting conventions for the axes and forces directions, the equations of motion derived here apply to both left-handed and right-handed screws. As a result, from this point on, the handedness of the lead screw is assumed to be known but is not included in the discussions.

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Correspondence to Orang Vahid-Araghi Ph.D .

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© 2010 Springer New York

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Vahid-Araghi, O., Golnaraghi, F. (2010). Mathematical Modeling of Lead Screw Drives. In: Friction-Induced Vibration in Lead Screw Drives. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1752-2_5

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  • DOI: https://doi.org/10.1007/978-1-4419-1752-2_5

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-1751-5

  • Online ISBN: 978-1-4419-1752-2

  • eBook Packages: EngineeringEngineering (R0)

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