井筒内受压杆管后屈曲能量法分析与实验研究

目前不少理论力学教材都涉及刚体平面运动动力学方程的教学内容,但有些教材在叙述上有许多值得商榷之处.对这一重要的基本概念,本文提出作者的思考,供理论力学教学的教师与学过此内容的学生讨论.

THE ENERGY METHOD AND EXPERIMENTAL STUDY OF POST-BUCKLING OF THE PRESSURIZED ROD STRING IN WELLBORE

The buckling behavior of the rod string in a wellbore is one of the key issues in petroleum engineering. The slender rod string in a wellbore is studied in this paper. According to the sinusoidal and helical buckling geometries of the pressurized column, the post-buckling contact friction state between the rod string and the wellbore is considered. The Lagrange multiplier method is used to describe the sliding displacement boundary conditions for the wellbore and the gravitational potential energy and the friction dissipated energy are used in the energy method. The contact force and the friction resistance between the rod string and the wellbore are derived for vertical wells. The post buckling experimental apparatus is developed in this paper. The sinusoidal and helical buckling critical loads and the friction resistances are derived under different loads. The experimental results agree with the theoretical results. This paper provides an effective method for buckling columns, such as drilling, coiled tubing.