On Carnot's theorem in time dependent impulsive mechanics.

Stefano Pasquero

Extracta Mathematicae (2005)

  • Volume: 20, Issue: 1, page 87-97
  • ISSN: 0213-8743

Abstract

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We show that the validity of the Carnot's theorem about the kinetic energy balance for a mechanical system subject to an inert impulsive kinetic constraint, once correctly framed in the time dependent geometric environment for Impulsive Mechanics given by the left and right jet bundles of the space-time bundle N, is strictly related to the frame of reference used to describe the system and then it is not an intrinsic property of the mechanical system itself. We analyze in details the class of frames for which the theorem holds, showing that its dimension coincides with the codimension of the submanifold A2 of the right jet bundle R1(N) determining the inert constraint.

How to cite

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Pasquero, Stefano. "On Carnot's theorem in time dependent impulsive mechanics.." Extracta Mathematicae 20.1 (2005): 87-97. <http://eudml.org/doc/38780>.

@article{Pasquero2005,
abstract = {We show that the validity of the Carnot's theorem about the kinetic energy balance for a mechanical system subject to an inert impulsive kinetic constraint, once correctly framed in the time dependent geometric environment for Impulsive Mechanics given by the left and right jet bundles of the space-time bundle N, is strictly related to the frame of reference used to describe the system and then it is not an intrinsic property of the mechanical system itself. We analyze in details the class of frames for which the theorem holds, showing that its dimension coincides with the codimension of the submanifold A2 of the right jet bundle R1(N) determining the inert constraint.},
author = {Pasquero, Stefano},
journal = {Extracta Mathematicae},
keywords = {impulse; frame of reference; kinetic energy},
language = {eng},
number = {1},
pages = {87-97},
title = {On Carnot's theorem in time dependent impulsive mechanics.},
url = {http://eudml.org/doc/38780},
volume = {20},
year = {2005},
}

TY - JOUR
AU - Pasquero, Stefano
TI - On Carnot's theorem in time dependent impulsive mechanics.
JO - Extracta Mathematicae
PY - 2005
VL - 20
IS - 1
SP - 87
EP - 97
AB - We show that the validity of the Carnot's theorem about the kinetic energy balance for a mechanical system subject to an inert impulsive kinetic constraint, once correctly framed in the time dependent geometric environment for Impulsive Mechanics given by the left and right jet bundles of the space-time bundle N, is strictly related to the frame of reference used to describe the system and then it is not an intrinsic property of the mechanical system itself. We analyze in details the class of frames for which the theorem holds, showing that its dimension coincides with the codimension of the submanifold A2 of the right jet bundle R1(N) determining the inert constraint.
LA - eng
KW - impulse; frame of reference; kinetic energy
UR - http://eudml.org/doc/38780
ER -

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