Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping

Figure 5

Bifurcation diagrams constructed for the mass displacement under varying forcing amplitude (a) and (b) calculated at ,,,, and . Black and blue dots show the mass displacements swept in increasing and decreasing directions, respectively. The magenta dots show the unstable period-1 orbit with one impact. Additional windows demonstrate the trajectories of the attractors on the phase plane obtained for ,,,,,,, and , respectively. Stable period-1 orbit with two impacts per period, unstable period-1 orbit with two impacts per period, and stable period-1 orbit with one impact per period are shown in blue, magenta, and black. Green lines indicate the location of the discontinuity boundaries and , and the red points show the Poincaré sections.