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

doi:10.3182/20110828-6-IT-1002.01314

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 proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings of the 18th IFAC World Congress
Publisher	IFAC Secretariat
Pages	3463-3473
Number of pages	11
Edition	1 PART 1
ISBN (Print)	9783902661937
DOIs	https://doi.org/10.3182/20110828-6-IT-1002.01314
State	Published - 2011

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	1 PART 1
Volume	44
ISSN (Print)	1474-6670

Keywords

Autonomous vehicles
Control
Guidance systems

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.3182/20110828-6-IT-1002.01314

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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

Spatiotemporal singular transformation in dynamical systems with impacts and its use in obtaning generalized solution of Painleve problem. / Miller, B. M.; Rubinovich, E. Ya; Bentsman, J.

Proceedings of the 18th IFAC World Congress. 1 PART 1. ed. IFAC Secretariat, 2011. p. 3463-3473 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Miller, BM, Rubinovich, EY & 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 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 1 PART 1, vol. 44, IFAC Secretariat, pp. 3463-3473. https://doi.org/10.3182/20110828-6-IT-1002.01314

Miller BM, Rubinovich EY, Bentsman J. 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. IFAC Secretariat. 2011. p. 3463-3473. (IFAC Proceedings Volumes (IFAC-PapersOnline); 1 PART 1). https://doi.org/10.3182/20110828-6-IT-1002.01314

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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.",

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