On Oscillatory Motion of Spring-Mass Systems Subjected to Piecewise Constant Forces

✍ Scribed by L. Dai; M.C. Singh

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 402 KB
• Volume: 173
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1994.1227

✦ Synopsis

Oscillatory motion of a spring-mass system subjected to a piecewise constant force of the form (f(x([t]))) or (f([t])) is studied. Solutions of a damped spring-mass system subjected to linear, sinusoidal or non-linear piecewise constant forces are derived. Results are graphically presented and compared with those of the corresponding systems subjected to continuous forces. Oscillatory properties of an undamped spring-mass system subjected to a piecewise constant force are studied in detail. When in a non-linear system the non-linear function is treated as a piecewise constant force in a small enough time interval, the resulting response agrees with the solution of the original non-linear equation. To this effect, examples of linear, non-linear and chaotic systems have been treated in the text.