Peculiarities of inclined force action upon one-dimensional homogeneous elastic lumped line
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
Exact analytic solutions for one-dimensional elastic lumped line under affection of external force inclined to the axe of line is analyzed. It is shown that in this case an inclined wave being described by implicit function propagates along the line. The conclusions were extended both to unforced vibrations in the line and to distributed-parameters line vibrations. Solution in the form of implicit function is proved as a generalizing one for the wave equation
Keywords
Cite
@article{arxiv.math-ph/0006028,
title = {Peculiarities of inclined force action upon one-dimensional homogeneous elastic lumped line},
author = {Sergey B. Karavashkin},
journal= {arXiv preprint arXiv:math-ph/0006028},
year = {2007}
}
Comments
7 pages LaTeX 2.09, 4 Postscript figures