Chebyshev多项式在锚链分析中的应用
Numerical Simulation of Static Behavior of the Single Anchor Cable
依据水流作用下锚链的数值分析模型,提出了应用Chebyshev多项式拟合建立锚链张力与锚链顶端位置函数关系的近似方法,该锚链函数多项式可方便地用于波浪与锚泊结构物相互作用的实时模拟中。计算中按静水和有流两种情况,应用二维和三维Chebyshev多项式,建立了锚链顶端水平和垂向拉力与锚链顶端水平、垂向位置,及水流速度的函数关系。锚链分析模型采用分段外推-校正方法计算,在无流、均质锚链情况下,计算结果与解析解完全吻合。
The piecewise extrapolating method is applied to study the single anchor cable in this paper. The results are compared with the analytical results and the agreement is good. The polynomials are used to approximate the functional relations between the loads of the anchor cable and the displacement at the top of anchor cable, the water depth, and the velocity of flow on the different conditions.
锚链张力 / 锚链位移 / Chebyshev多项式
piecewise extrapolating method / single anchor cable / displacement / velocity of flow / water depth
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