2903 Numerical Analysis of Forced Oscillation System with Damping and Nonlinear Effects of Inclined Spring
Toshio Funada, Takehiro SUZUKI, Takuya Ishimoto, Makoto Kawakami, Kouji Mochizuki · The proceedings of the JSME annual meeting · 2008
We study numerically a simple mechanical model of nonlinear forced oscillations. It is found from the Poincare map obtained for some cases that the route to chaos in this dissipative system is the period doubling and the chaotic motion may occur in a wider range of parameter values. Bubbles as antimonotonicity can arise for small damping, but disappear as damping becomes large. In addition to these, basin boundary problems are solved, so that the chaotic motion is found to depend strongly upon initial conditions given. Effects of tuned pendulum is also discussed.