分段
残余物
极限(数学)
最小二乘函数近似
非线性最小二乘法
数学
非线性系统
功能(生物学)
分段线性函数
残差平方和
径向基函数
应用数学
数学分析
解释平方和
人工神经网络
算法
统计
计算机科学
物理
估计员
机器学习
生物
进化生物学
量子力学
作者
Zhiyao Zhu,Huilong Ren,Xiuhuan Wang,Nan Zhao,Chenfeng Li
摘要
The limit state function is important for the assessment of the longitudinal strength of damaged ships under combined bending moments in severe waves. As the limit state function cannot be obtained directly, the common approach is to calculate the results for the residual strength and approximate the limit state function by fitting, for which various methods have been proposed. In this study, four commonly used fitting methods are investigated: namely, the least-squares method, the moving least-squares method, the radial basis function neural network method, and the weighted piecewise fitting method. These fitting methods are adopted to fit the limit state functions of four typically sample distribution models as well as a damaged tanker and damaged bulk carrier. The residual strength of a damaged ship is obtained by an improved Smith method that accounts for the rotation of the neutral axis. Analysis of the results shows the accuracy of the linear least-squares method and nonlinear least-squares method, which are most commonly used by researchers, is relatively poor, while the weighted piecewise fitting method is the better choice for all investigated combined-bending conditions.
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