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弹性管柱纵横弯扭变形的离散解析法分析
引用本文:王艳辉.弹性管柱纵横弯扭变形的离散解析法分析[J].中国石油大学学报(自然科学版),1995(Z1).
作者姓名:王艳辉
作者单位:石油大学石油工程系
摘    要:针对求解管柱纵横变扭挠曲变形存在的问题,提出了离散解析法,该方法是将细长管柱离散化,求得单元变形的解析解。由连续性条件建立各单元挠曲变形系数的传递矩阵,并根据管柱两端的边界条件,同时求得各单元的挠曲变形及应力等状态参量。该方法克服了有限元或有限差分法需求解大型矩阵方程的困难,计算简单、结果可靠。通过某海上油井试油管的挽曲变形分析,说明了该方法的适用性和可靠性。

关 键 词:管柱  变形  应力分析  解析法

APPLICATION OF DISCRETE ANALYSTIC METHOD TO TENSION AND TORQUE DEFORMATION OF ELASTIC STRING
Wang Yanhui.APPLICATION OF DISCRETE ANALYSTIC METHOD TO TENSION AND TORQUE DEFORMATION OF ELASTIC STRING[J].Journal of China University of Petroleum,1995(Z1).
Authors:Wang Yanhui
Abstract:A new discrete analystic method is proposed to solve the problems in tension andtorque deformation of string.The string structure is discretized to many elements,and theanalystic solutions of each element deformation are settled.According to con tinuitycondition,formula expressed the displacement coeffecients of each string element arederived.Based on the known boundary conditions. displacements and stresses of all elementsare answered simultaneously. This method is available for solving large matrix equations with(Finite Element Method)or Finite Differential Element Method.The adaptability andreliabil ity of this new method are proved by an analysis of an oil test casing in offshorewell.
Keywords:Pipe string  Deformation  Stress analysis  Analytical method
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