Vol.3, No 11, 2001 pp.153-158
UDC 534.01:517.928(045)
A FIELD METHOD
FOR SOLVING THE EQUATIONS
OF MOTION OF
EXCITED SYSTEMS
Ivana Kovačić
Faculty of Engineering, Novi Sad, Department of Mechanics
Abstract. In this paper, the field
method for solving the equations of motion of holonomic nonconservative
systems is extended to system under the action of excitation. Both external
and parametric excitation are considered. The asymptotic solutions for
these weakly non-linear systems are obtained by combining the field method
with the perturbation technique of the dual time expansion.
PRIMENA METODA
POLJA U REŠAVANJU
JEDNAČINA KRETANJA
SISTEMA SA PRINUDOM
U ovom radu je izvršeno proširivanje metoda polja za rešavanje jednačina
kretanja holonomnog nekonzervativnog sistema na sistem pod dejstvom prinude.
Razmatrane su parametarska i spoljašnja prinuda. Asimptotsko rešenje za
slabo nelinearni oscilatorni sistem je dobijeno kombinovanjem metoda polja
sa perturbacionom tehnikom dvojne vremenske skale.
