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An improved time-domain response estimation method for floating structures based on rapid solution of a state-space model

机译：基于状态空间模型快速求解的浮动结构时域响应估计改进方法

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The proposed time-domain response estimation method aims to improve computational efficiency of the traditional step-by-step techniques by considering convolution item with a state-space model for floating structures. Different from the present three techniques of estimating state-space model matrices, which are the impulse response curve fitting, the realization theory and the regression in the frequency domain, a more accurate and efficient algorithm has been developed by constructing these matrices with poles and residues of retardation functions. One theoretical development is that the poles and residues are estimated by using the state-space model, not directly by solving ordinary differential equations, which implies that the traditional ill-conditioned issue can be reduced significantly. Meanwhile, this algorithm is a direct estimation procedure and also does not require initial values during the process of computing state-state model matrices, which means that a better computational efficiency can be expected. To investigate the performance of the proposed method, three examples are employed. The first example is a numerical retardation function that is based on a purely analytical relationship, and this function satisfies all the properties of the convolution terms in math. By comparing the approach with the three techniques of estimating state-space model matrices, one can draw the conclusion that the approach provides accuracy similar to that of the regression method but outperforms the curve fitting and the realization methods, obviously because of the improperly used initial values. The second example is a singledegree-of-freedom system excited by different forms of external load. Numerical results show that a dynamic response analysis using replacement of convolution with the proposed method is in accordance with the traditional frequency and time domain method. However, the proposed method is insensitive to the step size of the calculation, which means that the proposed method is more stable. To extend the proposed method to a system with multiple degrees of freedom and investigate the capacity for computational efficiency, a semi-submersible platform was used. Conclusions from the numerical and experimental studies can be drawn: (1) the estimated response of the platform by using the proposed method to replace convolution items with a state-space model matches well with the traditional Newmark-ft method; (2) the calculation time is reduced significantly using the proposed method when the number of calculation steps is large; and (3) the heave response of semi-submersible physical model calculated by the proposed method is in good agreement with the experimental data.
机译：提出的时域响应估计方法旨在通过将卷积项与状态空间模型一起用于浮动结构来提高传统分步技术的计算效率。不同于当前的估计状态空间模型矩阵的三种技术（脉冲响应曲线拟合，实现理论和频域回归），通过用极点和残差构造这些矩阵，开发了一种更准确，更有效的算法减速功能。一个理论上的发展是通过使用状态空间模型而不是直接通过求解常微分方程来估计极点和残差，这意味着可以显着减少传统的病态问题。同时，该算法是一种直接估计程序，在计算状态-状态模型矩阵的过程中也不需要初始值，这意味着可以期望更高的计算效率。为了研究所提出方法的性能，采用了三个例子。第一个示例是基于纯粹解析关系的数值延迟函数，并且该函数满足数学中卷积项的所有属性。通过将该方法与估计状态空间模型矩阵的三种技术进行比较，可以得出以下结论：该方法提供的精度与回归方法相似，但优于曲线拟合和实现方法，这显然是由于初始方法使用不当所致。价值观。第二个示例是由不同形式的外部负载激发的单自由度系统。数值结果表明，所提出的方法代替卷积的动态响应分析与传统的频域和时域方法是一致的。但是，该方法对计算的步长不敏感，这意味着该方法更加稳定。为了将所提出的方法扩展到具有多个自由度的系统并研究计算效率的能力，使用了半潜水平台。可以从数值和实验研究中得出以下结论：（1）通过使用状态空间模型代替卷积项的方法，该平台的估计响应与传统的Newmark-ft方法非常吻合； （2）当计算步长较大时，采用本发明的方法可大大减少计算时间； （3）所提方法计算的半潜式物理模型的升沉响应与实验数据吻合良好。

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