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Vibration analysis of stepped-pipe strings for mining from deep-sea floors

机译:深海底板采矿用阶梯管柱的振动分析

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The present study addresses essentially to the investigation of the longitudinal vibrations of a stepped-pipe string for mining from deep-sea floors. The stepped-pipe string, consisting of four parts having different physical properties in each pipe string segment, is assumed to have two pump modules and a buffer, each of which is equipped with a vibration absorber. Moreover, the pipe string is subjected to external viscous damping because of the surrounding medium. A theoretical analysis has been made for a simplified model of the system, in which it is assumed that both the pump modules and buffer can be considered as concentrated masses, the fluid inside of the pipe string vibrates together with the string, and that the flexible pipe does not affect the vibration of the pipe string. Furthermore, absorbers are modeled as concentrated masses, each of which is attached to pump modules and the buffer by springs and dampers. Applying the method of separation of variables, exact analytical solutions for damped free and forced responses of the system subjected to heave motion of the mining ship are determined with and without absorbers, in which overdamped and underdamped modes are determined and studied separately too. It is important to note that the solutions obtained are expressed in terms of parameters characterizing the physical properties of the system under consideration. Numerical applications show that the attachment of convenient vibration absorbers causes the longitudinal displacements at the certain locations to decrease to very small values, where the vibration absorbers are adjusted to the excitation frequency.
机译:本研究主要针对从深海底层开采的阶梯管柱的纵向振动的研究。假定在每个管段中由具有不同物理特性的四个部分组成的阶梯管柱具有两个泵模块和一个缓冲器,每个模块都装有减振器。此外,由于周围的介质,管柱经受外部粘性阻尼。对系统的简化模型进行了理论分析,其中假设泵模块和缓冲器都可以被视为集中质量,管柱内部的流体与管柱一起振动,并且挠性管道不会影响管柱的振动。此外,吸收器被建模为集中的质量,每个质量都通过弹簧和减震器连接到泵模块和缓冲器。应用变量分离的方法,确定了有无吸收器的情况下采矿船升沉运动系统的阻尼自由响应和强迫响应的精确解析解,并确定了过阻尼和欠阻尼模式,并分别进行了研究。重要的是要注意,所获得的解决方案是根据表征所考虑系统物理特性的参数来表示的。数值应用表明,方便的吸振器的安装会导致某些位置的纵向位移减小到非常小的值,在这种情况下,将吸振器调整到激励频率。

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