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Dynamics of Unilateral Systems on a Finite-Dimensional Riemannian Manifold

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Unilateral Problems in Structural Analysis IV

Abstract

J.J. Moreau in [1–3] discussed the problem of dynamics of unilateral systems of finite degree of freedom, mainly in the framework of Euclidean space. He introduced the concept of soft contact and arrived at the general measure differential inclusion of a nonsmooth motion.

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References

  1. J.J. Moreau, Standard inelastic shocks and the dynamics of unilateral constraints, in: Unilateral Problems in Structural Analysis, CISM Courses and Lectures No. 288 (ed. G. Del Piero and F. Maceri), Springer, Wien, 1985.

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  2. M. Jean, J.J. Moreau, Dynamics in the presence of unilateral contacts and dry friction: A numerical approach, in: Unilateral Problems in Structural Analysis, CISM Courses and Lectures No. 304 (ed. G. Del Piero and F. Maceri), Springer, Wien, 1987.

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  3. J.J. Moreau, Unilateral contact and dry friction in finite freedom dynamics, in: Nonsmooth Mechanics and Applications, CISM Courses and Lectures No 302 (ed. J.J. Moreau and P.D. Panagiotopoulos), Springer, Wien, 1988.

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  4. M. Spivak, A Comprehensive Introduction to Differential Geometry Vol. in, Publish or Perish, Berkeley, 1979.

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© 1991 Birkhäuser Verlag Basel

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Zhong-heng, G., Shuxun, W. (1991). Dynamics of Unilateral Systems on a Finite-Dimensional Riemannian Manifold. In: Del Piero, G., Maceri, F. (eds) Unilateral Problems in Structural Analysis IV. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 101. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7303-1_15

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  • DOI: https://doi.org/10.1007/978-3-0348-7303-1_15

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7305-5

  • Online ISBN: 978-3-0348-7303-1

  • eBook Packages: Springer Book Archive

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