Analysis and Research on Longitudinal Vibration Characteristics of Deep Sea Mining Pipe Based on Finite Element Method

Qiang Liu,Linjing Xiao

doi:10.1155/2020/8219794

Qiang Liu, Linjing Xiao

Open Access

https://doi.org/10.1155/2020/8219794

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Abstract

This paper aimed to study the longitudinal vibration characteristics of the 5000 m mining pipe in the ocean under different working wind conditions, offset angle, damping, and ore bin weight. Based on the finite element method, the mining pipe is simplified into beam element and discretized, and the physical and mathematical models of the mining pipe system are established. The Wilson-θ direct integral method is adopted for numerical calculation. The results show that the longitudinal vibration of the mining pipe is irregular, which presents the phenomenon of oscillation. The vibration amplitude decreases first and then increases from top to bottom, the minimum vibration amplitude appears at 1000 m, and the maximum vibration amplitude appears at the top of the mining pipe. Under the same working wind condition, the overall longitudinal vibration amplitude of the mining pipe can be increased by increasing the ore bin weight and the offset angle, but neither of them can change the frequency of the longitudinal vibration. The closer the excitation frequency generated by different working wind conditions is to the natural frequency, the larger the mining pipe longitudinal vibration amplitude is. The closer the vibration frequency generated by the same excitation frequency is to the natural frequency, the stronger the vibration intensity is, and when damping is added, the vibration intensity decreases faster.

Highlights

With the rapid development of the global economy and industry, people’s demand for mineral resources is increasing
Natural Frequency Calculation. e upper end of the mining pipe is connected with the mining ship and moves with the ship. e lower end is connected with the middle ore bin, which is connected with the mining machine through the flexible pipe, and the damping device is placed at the end of the first step pipe to provide variable damping c
Based on the finite element method, the pipe is simplified into beam element and discretized, and the theoretical model of the pipe longitudinal vibration is established. e Wilson-θ direct integration method is used for numerical calculation

Summary

Introduction

With the rapid development of the global economy and industry, people’s demand for mineral resources is increasing. E finite element method is used for the dynamic theoretical analysis, and the Wilson-θ algorithm is used for numerical calculation in MATLAB to obtain the longitudinal vibration response of the mining pipe under different damping, different ore bin quality, and offset angles.

Results

Conclusion