• 应用研究 •

### 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)

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

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.