力学与实践 ›› 2019, Vol. 41 ›› Issue (5): 526-533.DOI: 10.6052/1000-0879-19-138

• 应用研究 • 上一篇    下一篇

铅直圆筒内细长杆柱在屈曲位移激励下的横向振动仿真1)

张雷*,2), 孙秀荣   

  1. *中国石油化工股份有限公司胜利油田分公司石油工程技术研究院,山东东营257000;
    河北环境工程学院,河北秦皇岛066004
  • 收稿日期:2019-04-08 修回日期:2019-06-03 发布日期:2019-10-28
  • 通讯作者: 2) 张雷,高级工程师,从事石油工程技术的科研与管理工作。E-mail: zhanglei976.slyt@sinopec.com
  • 基金资助:
    1) 河北省自然科学基金(E2017203101) 和国家自然科学基金(51174175) 资助项目

SIMULATION OF TRANSVERSE VIBRATION OF SLENDER ROD STRING IN THE VERTICAL CYLINDER UNDER BUCKLING DISPLACEMENT EXCITATION1)

ZHANG Lei*,2), SUN Xiurong   

  1. *Research Institute of Petroleum Engineering, Shengli Oilfield Company, SINOPEC, Dongying 257000, Shandong, China;
    School of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, Hebei, China
  • Received:2019-04-08 Revised:2019-06-03 Published:2019-10-28

摘要: 对于铅直圆筒内受交变拉压轴向载荷作用的细长杆柱,当杆柱底端所受到的轴向压力大于杆柱屈曲的临界载荷时,细长杆柱在圆筒内将产生螺旋屈曲,杆柱的屈曲变形将激励杆柱在圆筒内产生横向振动。以细长杆在圆筒内的瞬时屈曲构型作为杆柱横向振动的位移激励,建立了屈曲位移激励下的细长杆在圆筒内横向振动与杆管碰撞规律的仿真模型。采用有限差分法对井深进行离散,Newmark 法对时间进行离散,以恢复系数法建立了细长杆和圆筒的碰撞条件,对细长杆在圆筒内的横向振动数学模型进行了数值仿真。仿真结果表明,细长杆和圆筒内壁的碰撞现象主要发生在细长杆底端受压发生屈曲后,且几乎沿整个圆筒都有发生,从圆筒顶部至底部的碰撞力峰值逐渐增大;而在杆柱底端受拉时碰撞现象很少,碰撞力也较小。

关键词: 细长杆, 圆筒, 横向振动, 位移激励, 碰撞

Abstract: A slender rod string in a vertical cylinder is subjected to an alternating tension-compression axial load. When the axial pressure at the bottom of the rod is greater than the buckling critical load, in the slender rod, a helical buckling deformation will be generated, and the transverse vibration of the rod will be stimulated by the buckling deformation. Taking the instantaneous buckling configuration of the slender rod in the cylinder as the displacement excitation of the transverse vibration, a simulation model for the collision between the slender rod and the inner wall of the cylinder under the instantaneous buckling displacement excitation is established. To solve the mathematical problem, the finite difference method is used to discretize the rod, and the Newmark method is used to discretize the time. The transverse vibration mathematical model is implemented in the numerical simulation, with the collision conditions between the slender rod and the cylinder satisfied by the method of the restitution coefficient. It is shown that the collision occurs mainly after the rod string is buckled, and the collision almost occurs along the whole cylinder with the collision force increasing gradually from the top of the cylinder to the bottom. But when the bottom load is a tensile force, few collision occurs and the collision force is also very small.

Key words: the slender rod, cylinder, transverse vibration, displacement excitation, collision

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