Title :
Nonlinear oscillations of an elastic inverted pendulum
Author :
Litak, Grzegorz ; Coccolo, Mattia ; Friswell, Michael I. ; Ali, Shaikh F. ; Adhikari, Sondipon ; Lees, Arthur W. ; Bilgen, Onur
Author_Institution :
Dept. of Appl. Mech., Lublin Univ. of Technol., Lublin, Poland
Abstract :
We examine the dynamics of the elastic inverted pendulum with a tip mass under horizontal harmonic excitation. In particular, we study the conditions when the potential barrier is overcome by the tip mass, and large amplitude oscillations occur, by means of the Melnikov criterion. The results have been confirmed by numerical simulations.
Keywords :
elasticity; numerical analysis; pendulums; Melnikov criterion; elastic inverted pendulum; horizontal harmonic excitation; nonlinear oscillations; numerical simulations; Chaos; Damping; Mathematical model; Nonlinear dynamical systems; Oscillators; Potential well; Trajectory;
Conference_Titel :
Nonlinear Science and Complexity (NSC), 2012 IEEE 4th International Conference on
Conference_Location :
Budapest
Print_ISBN :
978-1-4673-2702-2
Electronic_ISBN :
978-1-4673-2701-5
DOI :
10.1109/NSC.2012.6304737
