Vol.3, No 14, 2003 pp. 937-942
UDC 531+534+534.141
Invited Paper
SYNTHESIS OF THE NONLINEAR ELASTIC CHARACTERISTICS
IN A SYSTEM WITH MANY DEGREES
OF FREEDOM IN SINPHASE OF HARMONIOUS OSCILLATION
Vladimir Raičević, Srđan Jović
Faculty of Technical Sciences Kosovska Mitrovica, University of Priština
18000 Niš, Bulevar Nemanjića 66A/20,
Tel: +381 18 320 367* +381 63 419 755
36 310 - Sjenica, Kralja Petra Prvog bb
Tel: +381 20 73 388, e-mail: ftnkm@drenik.net
Abstract. In this project, a synthesis of nonlinear
elastic characteristics is processed into a one-sided bonded chain system
with a final number of degrees of independency, for given periodic disturbances
with a whole-number values of circular frequencies of inducement and at
given sinphase of harmonious oscillation of mass system Using Chebishevliev's
polynomials, in a project exact analytical expressions are extracted for
nonlinear elastic characteristics in a system that is being observed.
The exactness of extracted analytical expressions for nonlinear elastic
characteristics is confirmed by results derived from solving a specific
example.
SINTEZA NELINEARNIH ELASTIČNIH KARAKTERISTIKA
U SISTEMU SA VIŠE STEPENI SLOBODE PRI SINFAZNOM HARMONIJSKOM OSCILOVANJU
U ovom radu se obradjuje sinteza nelinearnih elastičnih karakteristika
u jednostrano-vezanom lančanom sistemu sa konačnim brojem stepeni slobode
za zadate periodične poremećaje sa celobrojnim vrednostima kružnih frekvencija
pobude i pri zadatom sinfaznom harmonijskom oscilovanju masa sistema. Korišćenjem
Čebiševljevih polinoma, u radu se izvede tačni analitički izrazi za nelinearne
elastične karakteristike u posmatranom sistemu. Tačnost izvedenih analitičkih
izraza za nelinearne karakteristike potvrdjuje se rezultatima dobijenim
rešavanjem konkretnog primera.
