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A simplified model for hydroelasticity of containerships
Journal of Engineering Mathematics ( IF 1.4 ) Pub Date : 2021-06-17 , DOI: 10.1007/s10665-021-10142-2
Debasmit Sengupta , Ranadev Datta , Debabrata Sen

In this work, a semi-analytic method has been developed to perform the hydroelasticity analysis of containerships. For the solution of the hydrodynamic problem, a time-domain method is developed based on impulse response function (IRF); however, for the solution of the structural responses, modal superposition technique is used assuming the ship is based on Euler–Bernoulli beam theory. The time-domain amplitude of the displacements and velocities corresponding to several modes is then determined using a semi-analytic approach using Duhamel integral technique. In this paper, the effect of structural flexibility in the calculation of structural displacement, shear force, and bending moment is studied. To check the efficiency and correctness of the proposed semi-analytic method, initially, the computed results are compared with published and experimental results for two container ships with different lengths. In the second phase, a comparative study has been made to check the effect of several physical and geometric parameters such as ship length, vessel speed, and wavelength to ship length ratio. It is seen from the comparative study that ship length, Froude number, wave to ship length ratio, etc. have a significant effect in the calculations of global bending moment, shear force. From the computed results, it may be concluded that the proposed semi-analytic approach is capable of generating results within an acceptable range of engineering accuracy with negligible computational effort, and thus, it can be a very useful tool for preliminary design load for larger vessels.



中文翻译:

集装箱船水弹性的简化模型

在这项工作中,开发了一种半解析方法来执行集装箱船的水弹性分析。针对水动力问题的求解,提出了基于脉冲响应函数(IRF)的时域方法;然而,对于结构响应的求解,假设船舶基于 Euler-Bernoulli 梁理论,则使用模态叠加技术。然后使用使用 Duhamel 积分技术的半解析方法确定对应于几种模式的位移和速度的时域幅度。本文研究了结构柔性在结构位移、剪力和弯矩计算中的影响。为了检查所提出的半解析方法的效率和正确性,最初,计算结果与两艘不同长度的集装箱船的公布和实验结果进行了比较。在第二阶段,进行了比较研究,以检查船长、船速和波长与船长比等几个物理和几何参数的影响。从对比研究中可以看出,船长、弗劳德数、波船长比等对整体弯矩、剪力的计算有显着影响。从计算结果可以得出结论,所提出的半解析方法能够在可接受的工程精度范围内生成结果,而计算量可以忽略不计,因此,它可以成为大型船舶初步设计载荷的非常有用的工具. 在第二阶段,进行了比较研究,以检查船长、船速和波长与船长比等几个物理和几何参数的影响。从对比研究中可以看出,船长、弗劳德数、波船长比等对整体弯矩、剪力的计算有显着影响。从计算结果可以得出结论,所提出的半解析方法能够在可接受的工程精度范围内生成结果,而计算量可以忽略不计,因此,它可以成为大型船舶初步设计载荷的非常有用的工具. 在第二阶段,进行了比较研究,以检查船长、船速和波长与船长比等几个物理和几何参数的影响。从对比研究中可以看出,船长、弗劳德数、波船长比等对整体弯矩、剪力的计算有显着影响。从计算结果可以得出结论,所提出的半解析方法能够在可接受的工程精度范围内生成结果,而计算量可以忽略不计,因此,它可以成为大型船舶初步设计载荷的非常有用的工具. 和波长与船长之比。从对比研究中可以看出,船长、弗劳德数、波船长比等对整体弯矩、剪力的计算有显着影响。从计算结果可以得出结论,所提出的半解析方法能够在可接受的工程精度范围内生成结果,而计算量可以忽略不计,因此,它可以成为大型船舶初步设计载荷的非常有用的工具. 和波长与船长之比。从对比研究中可以看出,船长、弗劳德数、波船长比等对整体弯矩、剪力的计算有显着影响。从计算结果可以得出结论,所提出的半解析方法能够在可接受的工程精度范围内生成结果,而计算量可以忽略不计,因此,它可以成为大型船舶初步设计载荷的非常有用的工具.

更新日期:2021-06-17
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