### Abstract

Original language | English |
---|---|

Title of host publication | Proceedings of the X International Chetaev Conference Analitical Mechanics, Stability and Control |

Editors | S N Vassillyev, V V Kozlov, G L Degtyarev, I N Sidorov, D A Gubaidullin |

Place of Publication | Kazan, Russia |

Publisher | Kazan National Research Technical University Press |

Pages | 346 - 357 |

Number of pages | 12 |

ISBN (Print) | 9875757917306 |

Publication status | Published - 2012 |

Event | International Chetaev Conference on Analitical Mechanics, Stability and Control 2012 - Kazan, Russian Federation Duration: 12 Jun 2012 → 16 Jun 2012 |

### Conference

Conference | International Chetaev Conference on Analitical Mechanics, Stability and Control 2012 |
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Country | Russian Federation |

City | Kazan |

Period | 12/06/12 → 16/06/12 |

### Cite this

*Proceedings of the X International Chetaev Conference Analitical Mechanics, Stability and Control*(pp. 346 - 357). Kazan, Russia: Kazan National Research Technical University Press.

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*Proceedings of the X International Chetaev Conference Analitical Mechanics, Stability and Control.*Kazan National Research Technical University Press, Kazan, Russia, pp. 346 - 357, International Chetaev Conference on Analitical Mechanics, Stability and Control 2012, Kazan, Russian Federation, 12/06/12.

**Spece-time singular transformations methodology in problems with controlled impact interactions.** / Miller, Boris; Rubinovich, Eugene.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

TY - GEN

T1 - Spece-time singular transformations methodology in problems with controlled impact interactions

AU - Miller, Boris

AU - Rubinovich, Eugene

PY - 2012

Y1 - 2012

N2 - The impact is a short interaction of the solid bodies when they hit each other with non-null velocities. It is essential that the period of hitting, corresponding to the singular phase of motion, is non-zero even very small with respect to other phases of motion before and after the impact (that are the regular phases of motion). Taking this into account usually say about the impact as about just a moment of hitting. At this moment the relative positions of solid bodies remain non-changed but their velocities get the finite increments. The principal issue of the impact theory is the derivation of relations between the bodies velocities before and after the collision.

AB - The impact is a short interaction of the solid bodies when they hit each other with non-null velocities. It is essential that the period of hitting, corresponding to the singular phase of motion, is non-zero even very small with respect to other phases of motion before and after the impact (that are the regular phases of motion). Taking this into account usually say about the impact as about just a moment of hitting. At this moment the relative positions of solid bodies remain non-changed but their velocities get the finite increments. The principal issue of the impact theory is the derivation of relations between the bodies velocities before and after the collision.

UR - http://www.kai.ru/science/konf/chetaev/index.phtml

M3 - Conference Paper

SN - 9875757917306

SP - 346

EP - 357

BT - Proceedings of the X International Chetaev Conference Analitical Mechanics, Stability and Control

A2 - Vassillyev, S N

A2 - Kozlov, V V

A2 - Degtyarev, G L

A2 - Sidorov, I N

A2 - Gubaidullin, D A

PB - Kazan National Research Technical University Press

CY - Kazan, Russia

ER -