Vol.2, No 7/2, 1997 pp. 409 - 420
UDC: 531.36
ON STABILITY OF A MECHANICAL SYSTEM WITH
ONE DEGREE OF FREEDOM
A. Andreyev, O. Yurjeva
Ulyanovsk, State University, 432700 Russia
Ulyanovsk, L. Tolstoy Str. 42, e-mail: andreev@mmf.univ.simbirsk,su
Abstract. The stability problem of the equilibrium position for
mechanical system with one degree of freedom is considered in the paper.
On the basis of the general theorems from the sufficient condition of asymptotic
stability in the various assumptions with respect to viscosity and elasticity
are obtained. The comparison of obtained results and the results, obtained
by means of the other methodes is carried out.
O STABILNOSTI MEHANIČKOG SISTEMA SA JEDNIM
STEPENOM SLOBODE
U radu je obrađen problem stabilnosti položaja ravnoteže mehaničkog sistema
sa jednim stepenom slobode. Na osnovu opštih teorema dobijeni su dovoljni
uslovi asimptotske stabilnosti za različite pretpostavke viskoznosti i
elastičnosti. Sproveden je postupak upoređenja dobijenih rezultata sa rezultatima
drugih metoda.