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

Boris Miller; Eugene Rubinovich

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

Boris Miller, Eugene Rubinovich

School of Mathematics

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

Abstract

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.

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
Country/Territory	Russian Federation
City	Kazan
Period	12/06/12 → 16/06/12

Cite this

Miller, B., & Rubinovich, E. (2012). Spece-time singular transformations methodology in problems with controlled impact interactions. In S. N. Vassillyev, V. V. Kozlov, G. L. Degtyarev, I. N. Sidorov, & D. A. Gubaidullin (Eds.), Proceedings of the X International Chetaev Conference Analitical Mechanics, Stability and Control (pp. 346 - 357). Kazan National Research Technical University Press.

Miller, Boris ; Rubinovich, Eugene. / Spece-time singular transformations methodology in problems with controlled impact interactions. Proceedings of the X International Chetaev Conference Analitical Mechanics, Stability and Control. editor / S N Vassillyev ; V V Kozlov ; G L Degtyarev ; I N Sidorov ; D A Gubaidullin. Kazan, Russia : Kazan National Research Technical University Press, 2012. pp. 346 - 357

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title = "Spece-time singular transformations methodology in problems with controlled impact interactions",

abstract = "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.",

author = "Boris Miller and Eugene Rubinovich",

year = "2012",

language = "English",

isbn = "9875757917306",

pages = "346 -- 357",

editor = "Vassillyev, {S N} and Kozlov, {V V} and Degtyarev, {G L} and Sidorov, {I N} and Gubaidullin, {D A}",

booktitle = "Proceedings of the X International Chetaev Conference Analitical Mechanics, Stability and Control",

publisher = "Kazan National Research Technical University Press",

note = "International Chetaev Conference on Analitical Mechanics, Stability and Control 2012 ; Conference date: 12-06-2012 Through 16-06-2012",

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Miller, B & Rubinovich, E 2012, Spece-time singular transformations methodology in problems with controlled impact interactions. in SN Vassillyev, VV Kozlov, GL Degtyarev, IN Sidorov & DA Gubaidullin (eds), 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.
Proceedings of the X International Chetaev Conference Analitical Mechanics, Stability and Control. ed. / S N Vassillyev; V V Kozlov; G L Degtyarev; I N Sidorov; D A Gubaidullin. Kazan, Russia: Kazan National Research Technical University Press, 2012. p. 346 - 357.

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

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AU - Miller, Boris

AU - Rubinovich, Eugene

PY - 2012

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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

T2 - International Chetaev Conference on Analitical Mechanics, Stability and Control 2012

Y2 - 12 June 2012 through 16 June 2012

ER -

Miller B, Rubinovich E. Spece-time singular transformations methodology in problems with controlled impact interactions. In Vassillyev SN, Kozlov VV, Degtyarev GL, Sidorov IN, Gubaidullin DA, editors, Proceedings of the X International Chetaev Conference Analitical Mechanics, Stability and Control. Kazan, Russia: Kazan National Research Technical University Press. 2012. p. 346 - 357

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

Abstract

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