Method for calculating ship parameter-strength excited rolling response probability under random sea conditions
A strong incentive and ship technology, applied in the field of transportation and information, can solve the problem of uncertain ship wave conditions
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[0053] The present invention will be described in detail below
[0054] 1. Establish the ship's parametric-strong excitation single degree of freedom rolling motion equation, that is, the mathematical vibration equation.
[0055]
[0056] Among them, Φ is the roll angle; I xx Is the rolling moment of inertia, A xx (ω n ) Is the additional moment of inertia for rolling; b 1 With b 3 They are linear damping coefficient and cubic nonlinear damping coefficient; Δ is displacement; g is gravitational acceleration; GZ is the ship's righting arm, which is determined by Φ, η and Ψ; M is the wave forced excitation moment.
[0057] In a fixed coordinate system, the waveform expression of a long peak wave whose wavelength is equal to the ship length along the x-axis at a certain moment is ηcos(2πx / L+Ψ), where η is the wave amplitude of the long peak wave (η>0 is The crest, η<0 is the trough), Ψ is the relative position of the ship and the wave, and the value range is [0-2π].
[0058] 2. Solve the...
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