Nonlinear Vibration Mechanism of the Marine Rotating Machinery with Airbag Isolation Device under Heaving Motion

Figure 2

Time history response: the blue line for the numerical simulation; the red line for the multiple-scale method. (a) Displacement response (ε = 0.01, c = 0.004, α₀ = 0.1, h = 0.1, μ = 0.3, k₁ = 10, k₂ = 100, Ā = 1200, Ω₀ = 3, η = 70, X(0) = 1, (0) = 0). (b) Displacement response (ε = 0.01, c = 0.004, α₀ = 0.1, h = 0.1, μ = 0.1, k₁ = 10, k₂ = 100, Ā = 1200, Ω₀ = 5, η = 60, X(0) = 1, (0) = 0).

(a)

(b)