Spatiotemporal singular transformation in dynamical systems with impacts and its use in obtaning generalized solution of Painleve problem

B. M. Miller, E. Ya Rubinovich, J. Bentsman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This work considers classical problem of motion in systems with dry friction, known as the Painleve problem. This problem takes place in the presence of collisions of a rod with a at surface, and the use of the classical mechanics method runs into difficulties due to the impulsive nature of the interaction force that does not lend itself to exact calculations. The methodology suggested by the authors in recent years permits approximating a family of solutions corresponding to a large value of the stiffness coefficient of the obstacle.

Original languageEnglish (US)
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Pages3463-3473
Number of pages11
Edition1 PART 1
ISBN (Print)9783902661937
DOIs
StatePublished - Jan 1 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume44
ISSN (Print)1474-6670

Keywords

  • Autonomous vehicles
  • Control
  • Guidance systems

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Miller, B. M., Rubinovich, E. Y., & Bentsman, J. (2011). Spatiotemporal singular transformation in dynamical systems with impacts and its use in obtaning generalized solution of Painleve problem. In Proceedings of the 18th IFAC World Congress (1 PART 1 ed., pp. 3463-3473). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1). IFAC Secretariat. https://doi.org/10.3182/20110828-6-IT-1002.01314