Abstract

In this paper, the 5000 m mining pipe is taken as the research object, and the transverse and longitudinal vibration laws of the pipe under different working conditions are analyzed. Based on the finite element method (FEM), the pipe is discretized and calculated by the Wilson-θ Wilson - θ integral method; finally, the corresponding vibration laws of the mining pipe are obtained. The research shows that the mining pipe vibration responses are irregular motion, with the obvious oscillation phenomenon, and the overall vibration trend decreases first and then increases from the top to the bottom; the maximum vibration response occurs at the pipe top. Under the same working conditions, increasing the towing velocity will decrease the overall longitudinal vibration amplitude and increase the overall transverse vibration amplitude. While the ore bin weight will increase the longitudinal vibration amplitude and decrease the transverse vibration amplitude, increasing the mining pipe large diameter stepped section length and damping will decrease the longitudinal and transverse vibration simultaneously. When the towing velocity is between 0–2.8 m/s, the longitudinal vibration intensity is large, which is the main vibration mode. When the towing velocity is 2.8 m/s, the critical point is reached, and the longitudinal and transverse vibrations have the same intensity. When the towing velocity is greater than 2.8 m/s, the transverse vibration intensity is gradually greater than the longitudinal vibration intensity; at this time, the control of the transverse vibration should be appropriately increased.

Highlights

  • With the development of the society and the rapid increase of world population, the demand for mineral resources in various industries is increasing day by day [1]

  • Taking the ocean as the turning point for resource development can alleviate the resource crisis in countries around the world [3]. e deep sea mining system is a multilink system engineering, which can collect the mineral resources from the seabed and transport them back to the land; it often faces the harsh and complex working environment in the ocean [4]. e mining pipe subsystem is an important part of the deep sea mining system, which produces a series of vibration deformation under the action of ocean currents and waves [5]

  • The vibration response of the mining pipe is directly related to the towing velocity of the mining ship [39]

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Summary

Introduction

With the development of the society and the rapid increase of world population, the demand for mineral resources in various industries is increasing day by day [1]. Professor Wu et al of China used FEM to analyze the stability of the deep sea mining lifting system He mainly studied the influence of mining ship heave motion on the axial tension of the mining pipe and obtained the law of axial stress changing with time [14]. Professor Li et al analyzed the dynamic characteristics of 1000 m deep sea mining pipe, obtained the influence of inner flow and ore bin weight on the displacement of the mining pipe under different working conditions, and obtained the stress distribution law [15]. The FEM is used to analyze the mining pipe, and the vibration law under different towing velocities is obtained. The equation of the continuum can be solved and calculated

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