Chain of Physically Related Independent Mechanical Oscillators
A lumped-parameter mechanical system consisting of a chain of physically related rigid bodies, each of which has one rotational degree of freedom, is considered. It is shown that the inertialess elastic elements connecting the absolutely rigid bodies of the chain can be chosen so that the mechanical...
Saved in:
Published in | Journal of applied mechanics and technical physics Vol. 59; no. 5; pp. 922 - 927 |
---|---|
Main Author | |
Format | Journal Article |
Language | English |
Published |
Moscow
Pleiades Publishing
01.09.2018
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | A lumped-parameter mechanical system consisting of a chain of physically related rigid bodies, each of which has one rotational degree of freedom, is considered. It is shown that the inertialess elastic elements connecting the absolutely rigid bodies of the chain can be chosen so that the mechanical structure acquires the properties of a so-called absolute mechanical filter. The motion of any inertial element of this system is described by the equation of a classical harmonic oscillator with one degree of freedom. Using the system considered as an example, it is shown that there is a relationship between the models of classical and quantum mechanics. From the positions of modern classical mechanics, this lumped-parameter system confirms the well-known Einstein’s hypothesis theoretical physics that a rigid body is a system of independent oscillators. |
---|---|
ISSN: | 0021-8944 1573-8620 |
DOI: | 10.1134/S0021894418050206 |