Investigation of frictional effects on the nonlinear buckling behavior of a circular rod laterally constrained in a horizontal rigid cylinder

Investigation of frictional effects on the nonlinear buckling behavior of a circular rod laterally constrained in a horizontal rigid cylinder
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水平刚性圆柱体中横向约束圆杆非线性屈曲行为的摩擦效应研究

DOI:
10.1016/j.petrol.2012.04.011
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发表时间:
2012-07
影响因子:
--
通讯作者:
Yuan, Z.
Yuan, Z.
中科院分区:
工程技术2区
文献类型:
--
作者:
Wang, X.;Yuan, Z.

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虽然在过去,受到圆柱横向约束的圆杆的屈曲受到了相当多的关注,但相对较少的尝试已经研究了摩擦和边界约束对非线性屈曲行为的影响,特别是对于相对较短的杆。在此基础上,建立了考虑摩擦和边界约束的水平刚性柱体内横向约束杆的模型。由此产生的耦合非线性积分-微分方程成功地解决了第一次使用离散奇异卷积(DSC),一个相对较新的数值方法,连同牛顿-拉夫森方法。详细的配方和解决方案的程序。各种摩擦系数和边界条件的组合的例子进行了分析。为了验证配方和解决方案的程序,一些DSC结果进行了比较,实验数据或通过使用有限元方法获得的结果。结果表明,侧向和螺旋屈曲载荷通常都随着摩擦系数的增加而增加。而两端固支杆的螺旋屈曲载荷(即杆与壁面失去接触时的载荷)则随摩擦系数的增大而略有减小。边界条件对相对短杆的屈曲行为有明显的影响。
Although buckling of circular rods laterally constrained by a cylinder received considerable attention in the past, relatively fewer attempts have been made to study effects of friction and boundary constraints on the nonlinear buckling behavior, especially for relatively short rods. Thus a model of rods laterally constrained in a horizontal rigid cylinder considering effects of friction and boundary constraints is built. The resulting coupled nonlinear integral–differential equations are successfully solved for the first time by using the discrete singular convolution (DSC), a relatively new numerical approach, together with the Newton–Raphson method. Detailed formulations and solution procedures are given. Examples with various friction coefficients and combinations of boundary conditions are analyzed. To verify the formulations and solution procedures, some DSC results are compared to experimental data or results obtained by using the finite element method. Results reveal that both lateral and helical buckling loads usually increase with the increase of the friction coefficients. However, the helical buckling loads of the rod with both ends fixed, defined as the load at which the rod loses wall contact, slightly decrease with the increase of the friction coefficients. Boundary conditions have obvious effects on the buckling behavior for relatively short rods.
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