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首页> 外文期刊>International journal of non-linear mechanics >Non-linear buckling analysis of inclined circular cylinder-in-cylinder by the discrete singular convolution
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Non-linear buckling analysis of inclined circular cylinder-in-cylinder by the discrete singular convolution

机译：离散奇异卷积的圆柱斜圆柱非线性屈曲分析

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摘要

The lateral buckling and helical buckling problem of a circular cylinder constrained by an inclined circular cylinder under a compressive force, torsion, and its own weight is complicated and difficult to obtain an exact analytical solution. Thus, the non-linear differential equation is solved incrementally using the discrete singular convolution (DSC) algorithm together with the Newton-Raphson method. Detailed formulations are worked out. A simple way to numerically simulate the helical buckling is proposed and solution procedures are given. Four examples with various inclined angles, weights per unit length of the inner cylinder, axial applied loads, and boundary conditions are investigated. To verify the formulations and solution procedures, comparisons are firstly made with data obtained using the finite element method. It is verified that under certain circumstance, only lateral or helical buckling alone will occur. On some other circumstance, both lateral buckling and helical buckling may occur and the critical helical buckling loads are higher than the critical lateral buckling loads if frictions are not considered. Some conclusions are made based on the results presented herein.
机译：受倾斜的圆柱体在压缩力，扭转和自重的作用下受约束的圆柱体的横向屈曲和螺旋屈曲问题复杂且难以获得精确的解析解。因此，使用离散奇异卷积（DSC）算法和Newton-Raphson方法一起逐步求解非线性微分方程。制定了详细的配方。提出了一种数值模拟螺旋屈曲的简单方法，并给出了求解程序。研究了四个示例，这些示例具有各种倾斜角度，内筒每单位长度的重量，轴向施加的载荷以及边界条件。为了验证配方和求解程序，首先与使用有限元方法获得的数据进行比较。可以证明，在某些情况下，仅会发生横向或螺旋屈曲。在其他情况下，如果不考虑摩擦，则可能同时发生横向屈曲和螺旋屈曲，并且临界螺旋屈曲载荷高于临界横向屈曲载荷。基于本文提出的结果得出一些结论。

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