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The Effect of Third -Order Perturbation on the Result of the Mooring Line Dynamic Analysis

FAN Ju;CHEN Xiao-hong;HUANC Xiang-lu (Shanghai Jiao Tong University, Shanghai 200030)  
This paper investigates the effect of third-order terms of the expression of hydrodynamic force acting on the mooring line on the result of perturbation method used in the mooring line dynamic analysis. It is believed that for a moored structure second order perturbation can predict the main part of the oscillation. But the expression of hydrodynamic force acting on the mooring line is anti-symmetrical to its equilibrium position, so only linear terms of the polynomials fitted to the expression remain in the second order perturbation equations. In order to make it clear how the non-linearity of the hydrodynamic force affects the dynamics of the moorning line, the third-order perturbation equations are derived and solved. From the results obtained, we found that the third-order perturbation contributes a minor quantity in the range of low frequency.
【Fund】: 国家自然科学基金!59709002
【CateGory Index】: U675.92
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