Motion Switching and Chaos of a Particle in a Generalized Fermi-Acceleration Oscillator

Figure 17

Periodic motion of 𝑃₀₃₄ (Ω=6.5 and 𝑒₂=0.01): (a) displacement time-history, (b) velocity time-history, (c) phase plane of particle, and (d) phase plane of piston. Solid and dashed curves represents the motions of particle and piston, respectively, (𝑚₁=0.01, 𝑚₂=1, 𝑘=10, 𝑐=6, 𝑒₁=0.9, ℎ=1, 𝑄=0.5) (𝑡₀=0.70442282, 𝑥⁽¹⁾₀=−0.38755043, 𝑥̇⁽¹⁾₀=1.90527812, 𝑥⁽²⁾₀=−0.38755043, 𝑥̇⁽²⁾₀=1.96895970).

(a)

(b)

(c)

(d)