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Estimation of Nonlinear Roll Damping by Analytical Approximation of Experimental Free-Decay Amplitudes

Damping is critical for the roll motion response of a ship in waves. A common method for the assessment of damping in a ship's rolling motion is to perform a free-decay experiment in calm water. In this paper, we propose an approach for estimating nonlinear damping that involves a linear exponential analytical approximation of the experimental roll free-decay amplitudes, followed by parametric identification based on the asymptotic method. The restoring moment can be strongly nonlinear. To validate this method, we first analyzed numerically simulated roll free-decay data using rolling equations with two alternative parametric forms: linear-plus-quadratic and linear-plus-cubic damping. By doing so, we obtained accurate estimates of nonlinear damping coefficients, even for large initial roll amplitudes. Then, we applied the proposed method to real free-decay data obtained from a scale model of a bulk barrier, and found the simulated results to be in good agreement with the experimental data. Using only free-decay peak data, the proposed method can be used to estimate nonlinear roll-damping coefficients for conditions with a strongly nonlinear restoring moment and large initial roll amplitudes.     

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参数法与面束法——两种既对立又统一的方法

数学分析中两种最基本的运算——微分与积分,来自化整为零与积零为整的想法。化整为零的想法,几何中就是参数法。积零为整的想法,在平面几何中,就是线束法;在空间几何中,就是面束法。参数法与面束法是两种既对立又统一的方法。     

成都地面最低气温年极值的渐近分布

利用成都１９３３～１９９２年间的地面最低气温年极值记录，采用韦伯分布和耿贝尔分布，分别对其进行了渐近分布拟合。通过统计推断，找出了成都地面最低气温年极值所遵循的最佳渐近分布——韦伯分布。     

非线性半参数模型最小二乘核估计的直接解法

基于非线性半参数模型最小二乘核估计,给出了其参数分量和非参数分量估计的构造式,导出了参数分量和非参数分量顾及二次项直接解法的计算公式。用实测数据进行计算,证明了对于非线性半参数模型最小二乘核估计,可采用顾及二次项的直接解法。     

半参数模型的统计诊断量与粗差检验

基于参数回归统计诊断的分析方法,系统地研究了半参数的统计诊断与影响分析,得出了一系列诊断统计量,证明了数据删除模型与均值漂移模型的等价性,给出了粗差检验的方法。     

重力时序变化系统稳定性的研究

把重力时序系统视为慢时变系统,根据线性系统分析的理论方法,用差分方程描述该系统的等价参数模型, 通过判断参数序列的稳定性来探索前兆异常。对河西流动重力观测网1994—2009年3个测点的观测数据的计算分析验证了该方法的有效性,但失稳与地震前兆的关系还需进一步研究。     

抗差方差分量估计在卫星定轨中的应用

针对卫星精密定轨过程中观测资料存在粗差以及观测资料的合理定权问题，将抗差方差分量估计引入到卫星精密定轨中。采用Lageos 2卫星1996年1月至2000年12月的全球SLR实测数据进行了卫星精密定轨计算，结果表明，抗差方差分量估计既可以有效地减弱观测资料中粗差的影响，又可以较好地解决观测资料的合理加权问题，从而可以提高卫星的定轨精度。