Department of Mechanical and Electronic Engineering, Shandong University of Science & Technology, Qingdao, Shandong, China.
Tai-an School, Shandong University of Science & Technology, Tai-an, Shandong, China.
PLoS One. 2020 Nov 9;15(11):e0241650. doi: 10.1371/journal.pone.0241650. eCollection 2020.
In this paper, the dynamic model of the rigid space stepped-pipe strings system is derived with Lagrangian method to represent the system dynamic behaviors which enriches the analysis method of longitudinal vibration of stepped-pipe strings. The stepped-pipe strings is constructed of pipes with different diameters and lengths, the physical properties of which mainly depends on the axial force and the depth of deep-sea mining. Based on lumped element method, the heave compensation system with dynamic vibration absorber is designed for longitudinal vibration suppression of the stepped-pipe strings. The analytical solution is obtained by modal analysis method when the mining ship is subjected to sea breeze excitation. The proposed method is easily implementable for rigid space stepped-pipe strings system with complex multi-degree-of-free deep-sea mining dynamic model. Furthermore, the optimal combination of mass ratio, spring coefficient and damping ratio is shown to have a better vibration suppression performance. Finally, numerical simulations on the stepped-pipe strings system with or without dynamic vibration absorbers are provided to demonstrate the effectiveness of the proposed method.
本文采用拉格朗日方法推导出了刚性空间分段管道系统的动力学模型，以表示系统的动态行为，丰富了分段管道的纵向振动分析方法。分段管道由直径和长度不同的管道构成，其物理特性主要取决于轴向力和深海采矿的深度。基于集中质量法，设计了带动力减振器的升沉补偿系统，以抑制分段管道的纵向振动。当采矿船受到海风激励时，通过模态分析方法得到解析解。该方法易于实现具有复杂多自由度深海采矿动力学模型的刚性空间分段管道系统。此外，还展示了质量比、弹簧系数和阻尼比的最佳组合，具有更好的减振性能。最后，提供了有无动力减振器的分段管道系统的数值模拟，以验证所提出方法的有效性。
