王玲, 于思淼. 变长度细长杆的屈曲特性研究. 力学与实践, xxxx, x(x): 1-5. doi: 10.6052/1000-0879-24-033
引用本文: 王玲, 于思淼. 变长度细长杆的屈曲特性研究. 力学与实践, xxxx, x(x): 1-5. doi: 10.6052/1000-0879-24-033
Wang Ling, Yu Simiao. Research on buckling characteristics of variable-length slender rod. Mechanics in Engineering, xxxx, x(x): 1-5. doi: 10.6052/1000-0879-24-033
Citation: Wang Ling, Yu Simiao. Research on buckling characteristics of variable-length slender rod. Mechanics in Engineering, xxxx, x(x): 1-5. doi: 10.6052/1000-0879-24-033

变长度细长杆的屈曲特性研究

RESEARCH ON BUCKLING CHARACTERISTICS OF VARIABLE-LENGTH SLENDER ROD

  • 摘要: 在导管的插入和钢管插入井筒的问题中常涉及变长度细长杆的屈曲问题。本文基于最小势能原理和拉格朗日乘子法,给出了变长度细长杆的屈曲控制方程,利用椭圆积分法求解了固定边界条件下变长度细长杆的屈曲响应。分析表明,由于长度的变化,结构发生屈曲后会产生构型力,构型力对屈曲响应有较大的影响。

     

    Abstract: In the problems of inserting the catheter and steel pipe into the wellbore, the buckling problem of variable-length slender rods is often involved. The buckling governing equation of variable-length slender rods is established based on the principle of minimum potential energy and the Lagrange multipliers method. The buckling response of variable-length slender rods under clamped boundary conditions is derived from the elliptic integral method. The numerical calculations are performed to illustrate that due to the change in length, configuration force is generated after the structural buckling, and the configuration force significantly affects the buckling response.

     

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