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

Boris Miller, Eugene Rubinovich

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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 languageEnglish
Title of host publicationProceedings of the X International Chetaev Conference Analitical Mechanics, Stability and Control
EditorsS N Vassillyev, V V Kozlov, G L Degtyarev, I N Sidorov, D A Gubaidullin
Place of PublicationKazan, Russia
PublisherKazan National Research Technical University Press
Pages346 - 357
Number of pages12
ISBN (Print)9875757917306
Publication statusPublished - 2012
EventInternational Chetaev Conference on Analitical Mechanics, Stability and Control 2012 - Kazan, Russian Federation
Duration: 12 Jun 201216 Jun 2012

Conference

ConferenceInternational Chetaev Conference on Analitical Mechanics, Stability and Control 2012
CountryRussian Federation
CityKazan
Period12/06/1216/06/12

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