船舶碰撞机理三维解析法实现及恢复系数研究

3D analytical method for the external dynamics of ship collisions and investigation of the coefficient of restitution

  • 摘要:
      目的  采用解析方法分析船舶碰撞动力特性较为快速和准确,其中外部动力学分析十分重要。
      方法  为此,运用MATLAB程序实现船舶碰撞外部机理三维简化解析方法,计算两艘船舶碰撞的动能损失,并与二维解析方法的计算结果进行比对。在实现船舶碰撞动能损失快速计算解析方法的基础上,讨论碰撞高度、角度和位置对动能损失的影响。此外,还研究碰撞场景对保守恢复系数的影响和保守恢复系数对动能损失的影响。
      结果  结果表明:三维解析方法得到的动能损失小于二维解析方法,碰撞高度对于动能损失有明显的影响;简化解析方法中,对于碰撞角度大于90°的场景,恢复系数简单地取0并不安全。
      结论  在今后的外部动力学分析中,为了使动能损失的计算值更加准确,可以使用三维解析方法代替二维解析方法。

     

    Abstract: The analytical method for predicting the dynamic responses of a ship in a collision scenario features speed and accuracy, and the external dynamics constitute an important part. A 3D simplified analytical method is implemented by MATLAB and used to calculate the energy dissipation of ship-ship collisions. The results obtained by the proposed method are then compared with those of a 2D simplified analytical method. The total dissipated energy can be obtained through the proposed analytical method, and the influence of the collision heights, angles and locations on the dissipated energy is discussed on that basis. Furthermore, the effects of restitution on the conservative coefficients and the effects of conservative coefficients on energy dissipation are discussed. It is concluded that the proposed 3D analysis yields a lesser energy dissipation than that of the 2D analysis, and the collision height has a significant influence on the dissipated energy. In using the proposed simplified method, it is not safe to simplify the conservative coefficient as zero when the collision angle is greater than 90 degrees. In the future research, to get more accurate energy dissipation, it is a good way to adopt the 3D simplified analytical method instead of the 2D method.

     

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