多浮体铰接薄板结构运动响应研究

应用Newman的广义运动模态分解方法和拉格朗日乘子法,基于波浪辐射和绕射理论建立了铰接多浮体结构水动力响应的运动方程,应用预修正快速傅里叶变换(p FFT)的边界元方法对由15块板组成的铰接多浮体结构的运动响应进行了研究。数值结果表明该p FFT方法计算精度和计算速度均很高,可用于任意形状和约束状态的多体结构的水动力分析。板间距的改变对铰接点处垂荡和横摇影响较大。

Study on motion response of floating hinged multi-plates

Based on wave radiation and diffraction theory, the motion equations of hinged multi-bodies are established according to the Lagrangian multiplier method and the generalized mode expansion method proposed by Newman. The precorrected Fast Fourier Transform (pFFT) method is utilized to analyze the hy-drodynamics of multi-bodies that consists of horizontal, rigid, thin plates with hinged connection. The RAOs of motion are discussed. Numerical results show that pFFT method is very accurate and can be used in the hydrodynamic analysis of complex multi-bodies with arbitrary shape and constraints. The changing of in-terval space between plates is critical for heave and roll of hinged points.