On Concept of Mechanical System
Abstract
The paper gives a screw axiomatics of rational mechanics, namely: 1. introduces the main measures of mechanics: the mass measure, the scalar and (vector) screw measures of motion, the (vector) screw measure of impressed action, the increment velocity of the vector measure of motion, the (vector) screw measure of constraint action; 2. postulates the (stronger) local integral form of conservation law for the vector measuare of motion (fundamental principle of dynamics), and 3. defines the central concept of rational mechanics {mechanical system being realized in the form of all classical mechanical systems (mass-points, rigid bodies, continua, point-bodies, etc.). The presentation is based on new notions of vector calculus -- homogeneous and inhomogeneous vector and tensor slider-functions and screw measures.
Cite
@article{arxiv.1302.7092,
title = {On Concept of Mechanical System},
author = {Al Cheremensky},
journal= {arXiv preprint arXiv:1302.7092},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1012.3633