Vol.4, No 17, 2005 pp. 345-358
UDC 531.51:62-41(045)=20
TWO-FREQUENCY NONLINEAR VIBRATIONS OF
ANTISYMMETRIC LAMINATED ANGLE-PLY PLATE
Goran Janevski
University of Niš, Faculty of Mechanical Engineering,
Beogradska 14, 18000 Niš, Serbia, Serbia and Montenegro
Abstract. In this paper two-frequency vibrations of laminated
angle-ply
rectangular plate which is freely supported on its own edges are
analyzed.
The classical Kirhhoff theory is used and the vibration equations of
Karman
type are analyzed using the Airy function. Asymptotic solution in the
first
approximation is given. Numerical example includes analysis of the
two-frequency
plate vibrations under non-stationary conditions and under the activity
of time-dependent external impulse. Amplitude-frequency and
phase-frequency
characteristics of plate under non-stationary conditions for different
laminate characteristics are presented graphically.
Key words: two-frequency nonlinear vibrations, laminated
plate, amplitude, phase, frequency, Method
Krilov-Bogoljubov-Mitropoljskij.
DVOFREKVENTNE NELINEARNE
OSCILACIJE
ANTISIMETRIČNE UGAONE LAMELASTE PLOČE
U radu su analizirane dvofrekventne oscilacije ugaone lamelaste ploče
slobodno
oslonjene na svojim krajevima. Korišćena je klasična Kirhhoff teorija i
diferencijalne jednačine Karman-ovog tipa su analizirane koričćenjem
Airy-jeve
funkcije. Dato je asimptotsko rešenje u prvoj aproksimaciji. Numerički
primer obuhvata dvofrekventne oscilacije ploče u nestacionarnom režimu
oscilovanja pod dejstvom spoljašnje vremenski zavisne sile.
Amplitudno-frekventne
i fazno-frekventne karakteristike oscilovanja ploče u nestacionarnim
uslovima
za različite karakterisitke lamelata su date grafički.
Ključne reči: Dvofrekventne nelinearne oscilacije, ugaona
lamelasta ploča, amplituda, faza, asimptotska metoda
Krilov-Bogoljubov-Mitropoljskij.
