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Helicopter Basic Equations of Motion

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Part of the book series: Intelligent Systems, Control and Automation: Science and Engineering ((ISCA,volume 45))

Abstract

The objective of this Chapter is to provide the basic equations of motion of the helicopter, when the helicopter is treated as a rigid body. The equations of motion are derived by implementing Newton’s second law that deals with vector summations of all forces and moments as applied to the helicopter relative to an inertial reference frame. However, for practical reasons, analysis may be significantly simplified if motion is described relative to a reference frame rigidly attached to the helicopter. When this is the case, the equations of motion are derived relative to this non-inertial, body-fixed frame. The end result of this Chapter is the complete state space representation of the helicopter equations of motion in the configuration space.

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References

  1. J.J. Craig, Introduction to Robotics: Mechanics and Control (Prentice Hall, New York, 2004)

    Google Scholar 

  2. B. Etkin, Dynamics of Flight: Stability and Control (Wiley, New York, 1959)

    Google Scholar 

  3. D.T. Greenwood, Principles of Dynamics (Prentice Hall, New York, 1965)

    Google Scholar 

  4. R.M. Murray, L. Zexiang, S. Sastry, A Mathematical Introduction to Robotic Manipulation (CRC Press, Boca Raton, 1994)

    MATH  Google Scholar 

  5. M.W. Spong, S. Hutchinson, M. Vidyasagar, Robot Modeling and Control (Wiley, New York, 2005)

    Google Scholar 

  6. J.H. Williams, Fundamentals of Applied Dynamics (Wiley, New York, 1996)

    Google Scholar 

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Correspondence to Ioannis A. Raptis .

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© 2011 Springer Science+Business Media B.V.

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Raptis, I.A., Valavanis, K.P. (2011). Helicopter Basic Equations of Motion. In: Linear and Nonlinear Control of Small-Scale Unmanned Helicopters. Intelligent Systems, Control and Automation: Science and Engineering, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0023-9_3

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  • DOI: https://doi.org/10.1007/978-94-007-0023-9_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0022-2

  • Online ISBN: 978-94-007-0023-9

  • eBook Packages: EngineeringEngineering (R0)

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