TY - JOUR
T1 - Experiments on a non-smoothly-forced oscillator
AU - George, Christopher
AU - Virgin, Lawrence
AU - Kini, Ashwath
AU - Georg, Christopher
N1 - This paper describes some typical behavior encountered in the response of a harmonically-excited mechanical system in which a severe nonlinearity occu...
PY - 2015/12
Y1 - 2015/12
N2 - This paper describes some typical behavior encountered in the response of a harmonically-excited mechanical system in which a severe nonlinearity occurs due to an impact. Although such systems have received considerable recent attention (most of it from a theoretical viewpoint), the system scrutinized in this paper also involves a discrete input of energy at the impact condition. That is, it is kicked when contact is made. One of the motivations for this work is related to a classic pinball machine in which a ball striking a bumper experiences a sudden impulse, introducing additional unpredictability to the motion of the ball. A one-dimensional analog of a pinball machine was the subject of a detailed mathematical study in Pring and Budd (2011), and the current paper details behavior obtained from a mechanical experiment and describes dynamics not observed in a conventional (passive) impact oscillator.
AB - This paper describes some typical behavior encountered in the response of a harmonically-excited mechanical system in which a severe nonlinearity occurs due to an impact. Although such systems have received considerable recent attention (most of it from a theoretical viewpoint), the system scrutinized in this paper also involves a discrete input of energy at the impact condition. That is, it is kicked when contact is made. One of the motivations for this work is related to a classic pinball machine in which a ball striking a bumper experiences a sudden impulse, introducing additional unpredictability to the motion of the ball. A one-dimensional analog of a pinball machine was the subject of a detailed mathematical study in Pring and Budd (2011), and the current paper details behavior obtained from a mechanical experiment and describes dynamics not observed in a conventional (passive) impact oscillator.
UR - https://www.sciencedirect.com/science/article/pii/S0167278915001694
U2 - 10.1016/j.physd.2015.09.002
DO - 10.1016/j.physd.2015.09.002
M3 - Article
VL - 313
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
ER -