深海采矿扬矿管横向非线性振动响应分析

为了得出扬矿管横向振动规律,扬矿管系统属于大偏移、大变形的几何非线性问题,将扬矿管简化为梁单元,用有限元法进行离散,基于 直接积分法求解,得到横向振动运动规律。研究结果表明,在六级凤况下,扬矿管横向振动、速度和加速度响应均为简谐运动,在0-0.1 s内加速度做明显的低频减谐振荡衰减运动,且横向振动出现低频振荡现象,各周期内的最大振动幅值不相同；横向振动的幅值随着扬矿管深度的增加先增大后减小再增大,最大振动幅值出现在1 000 m处,其值为0.000407 m,最小振动幅值出现在2 000m处,其值为0.000041 m；速度和加速度与横向振动的运动规律相同,扬矿管在1 000 m处振动位移变化最快,其变化速度为0.00029 m/s,在2 000 m处振动位移变化最慢变化速度为0.000029 m/s。

Analysis of Transverse Nonlinear Vibration Response of Hoisting Pipe in Deep Sea Mining

In order to obtain the transverse vibration law of hoisting pipe The hoisting pipe system is a geometric nonlinear problem with large deviation and deformation. The hoisting pipe is simplified as a beam element and discretized by finite element method, Direct integration based on , the motion law of transverse vibration is obtained. The results show that under the six-stage wind condition, the lateral vibration, velocity and acceleration responses of the hoisting pipe are all harmonic motion, and the acceleration is significantly attenuated by low-frequency anti-resonance oscillation in the range of 0-0.1s, and the transverse vibration appears low-frequency oscillation phenomenon, and the maximum vibration amplitude in each period is different. The amplitude of lateral vibration first increases, then decreases and then increases with the increase of hoisting pipe depth. The maximum amplitude of vibration appears at 1 000m, which is 0.000407m; the minimum amplitude of vibration appears at 2 000m, which is 0.000041m. The movement law of velocity and acceleration is the same as that of transverse vibration. The vibration displacement of the hoisting pipe changes fastest at 1 000m, and its change speed is 0.00029m/s, and the slowest change speed at 2 000m is 0.000029m/s.