摘要
为分析导流缆各向异性弯矩、扭矩对其运动的影响并解决其数学建模问题,基于集中质量法基本原理,推导出导流缆在各向异性弯矩扭矩作用下的四自由度运动模型,并采用数值仿真方法,对导流缆在弯矩扭矩作用下的运动进行了定性的研究探讨.模型中以拖缆微元的3个姿态角为基准,给出完整的三维曲率、弯矩、扭矩及剪力的确定方法,并计入弯扭耦合作用,将其以剪力和扭矩的形式溶入到缆的运动控制方程中去,采用龙格库塔积分求解模型.最后通过仿真研究,定性研究了导流缆在各向异性弯矩扭矩作用下的运动响应特性,并给出定性的运动规律.
In this paper, a 4-DOF mathematical model emphasizing on anisotropic bending moment and torque of underwater faired cable was derived based on a lumped mass method, which was also used to qualitatively study the cable＇s macroscopic dynamics under the action of bending moment and torque. Based on the three Eular angles of a faired cable element, a comprehensive set of formulations was derived to determine the curvature, anisotropic mo- ment, torque and shear force in three dimensions. Next, by combining the coupling equations of bending moment, their effect were incorporated into the governing equations of faired cable in the form of shear force and torque. These equations were solved by the fourth order Runge-Kutta method and numerical simulation examples were pro- vided to qualitatively study the motion response characteristics of faired cable under the anisotropic moment and torque, as well as its qualitative motion law.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
北大核心
2013年第5期549-554,561,共7页
Journal of Harbin Engineering University
基金
国家自然科学基金资助项目(10902067)
海洋工程国家重点实验室青年创新基金资助项目(GKZD010059-16)
关键词
导流缆
拖曳系统
各向异性弯矩
集中质量法
数值模拟
faired cable
towed system
anisotropic bending moment
lumped mass method
numerical simulation
