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Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 73))

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Abstract

Collision of bodies often occurs in robots or in manipulators, in assembling or in control of machines, in vibration processes or in vibrodrivers [1,2]. Impact takes place when two bodies collide with each other causing relatively large contact forces between bodies in a very small interval of time. During this time interval no notable position changes occur to the body. Velocities and angular velocities, on the other hand, can change significantly during the impact. In this paper all unknowns are determined by using these approaches according to the main principles of theoretical mechanics - impulse and momentum [3,4]. The collision in connected bodies systems in the plane and rectilinear motion is described. The impact process at simultaneously more than one point is studied.

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References

  1. Lavendelis, E.E. (1970) Synthesis of optimal vibration machine,Zinatne, Riga, 252 p. (in Russian).

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  2. Viba, J.A. (1988) Optimisation and Synthesis of vibro-impact machines,Zinatne, Riga, 253 p. (in Russian).

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  3. Plavnieks, V.J. (1969) The calculation of oblique impact against an obstacle, Problems of dynamics and strength. N°18, Zinatne, Riga, pp. 87–110. (in Russian).

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  4. Plavnieks, V.J. (1969) Oblique collision of two bodies. Problems of dynamics and strength. N° 19, Zinatne, Riga, pp.69–82. (in Russian).

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  5. Kepe, O.E., Viba, J.A. (1982) Theoretical Mechanics, Zinatne, Riga, 578 p. (in Latvian).

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  6. Hibbeler, R.C. (1986) Engineering Mechanics. Dynamics, Macmillan Publishing Company, New York, 574 p.

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© 2000 Springer Science+Business Media Dordrecht

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Viba, J., Grasmanis, B., Fontaine, J. (2000). Simultaneous Collisions in Connected Bodies Systems. In: Lavendelis, E., Zakrzhevsky, M. (eds) IUTAM / IFToMM Symposium on Synthesis of Nonlinear Dynamical Systems. Solid Mechanics and its Applications, vol 73. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4229-8_28

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  • DOI: https://doi.org/10.1007/978-94-011-4229-8_28

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5836-0

  • Online ISBN: 978-94-011-4229-8

  • eBook Packages: Springer Book Archive

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