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TOTAL ENERGY OF HARMONIC OSCILLATOR WITH IMPULSE ACTION

Authors :
V. Borodin
S. Matmuratova
K. Elgondiyev
L. Vovk
Source :
Bulletin Taras Shevchenko National University of Kyiv. Mathematics Mechanics. :56-59
Publication Year :
2020
Publisher :
Taras Shevchenko National University of Kyiv, 2020.

Abstract

The problem of finding the total energy of a harmonic oscillator with pulsed action at fixed moments of time is considered. Both for the case of the homogeneous equation of harmonic oscillations and for the case of the equation of harmonic oscillations in the presence of external perturbation, formulas for the total energy of the oscillatory system are obtained. The case of periodic impulse effects is analyzed. The conditions under which in this oscillatory system there are periodic modes are specified. It is shown that under the fulfillment of these conditions on the values of impulse action and external perturbation, the total energy of the vibrational system is also a periodic function of the time variable.

Details

ISSN :
16841565
Database :
OpenAIRE
Journal :
Bulletin Taras Shevchenko National University of Kyiv. Mathematics Mechanics
Accession number :
edsair.doi...........811574b28e100927f47625df785fb9f4