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As for pipes with different lengths, with heave compensation device replaced by elastic constraint, a vibration equation was established by using energy integration approach, and the dynamic response of lifting pump installed at different positions of pipes was analyzed by finite element method. Results show that the harmonic response of stress excited by the following single loads was in an ascending order: torque, wave in longitudinal direction, and a combination of wave and current in horizontal direction. Under excitation by all these three loads with the same phase, the harmonic response of the system increased significantly. When the installed lifting pump was changed from a high position to a low position, the maximum equivalent stress of pipeline increased after an initial falling down. The installation position of lifting pump on the pipe corresponding to the minimum of the maximum equivalent stress was the suboptimal installation position. Based on the suboptimal installation position for the lifting pump on the pipeline with specific length, an empirical formula was established for the suboptimal installation position, which can provide reference for the quantitative design of lifting system.

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取不同长度管道，以弹性约束代替升沉补偿装置作用，采用能量积分法建立管道的振动方程，使用有限元方法分析了扬矿泵安装在管道的不同位置时的动力学响应。结果表明，单载荷激励作用下，应力谐响应由小到大分别为：扭矩激励、波浪纵向激励、波流联合水平激励，三者联合且同相位激励时，系统谐响应显著增大；扬矿泵安装位置从高往低下降时，管道最大等效应力呈现由大到小、再由小到大的变化规律，最大等效应力的极小值所对应的扬矿泵位置为次优安装位置。根据特定长度管道的扬矿泵次优安装位置，建立了扬矿泵的次优安装位置经验公式，为扬矿系统的定量设计提供参考依据。

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邓旭辉（1975—），男，湖南郴州人，博士，副教授，主要从事工程结构设计与分析，动力学与控制，深海采矿系统可靠性研究。

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邓旭辉（1975—），男，湖南郴州人，博士，副教授，主要从事工程结构设计与分析，动力学与控制，深海采矿系统可靠性研究。

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