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Dynamic Buckling of Elastic Bar under Axial Impact Based on Finite Difference Method

机译:基于有限差分法的轴向冲击下弹性杆动态屈曲

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Considering first order shear deformation theory, the dynamic buckling governing equations of elastic bar with initial imperfections, transverse inertia and axial inertia are derived by Hamilton principle. The equations are converted into the form of nondimension. Based on the finite difference method, the equations are solved approximately. The buckling mode of elastic bar under different axial impact velocities has been obtained. The influence of different axial impact velocity on the dynamic buckling of elastic bar is discussed.
机译:考虑到一阶剪切变形理论,汉密尔顿原理推导出初始缺陷,横向惯性和轴向惯性的弹性棒的动态屈曲控制方程。该等式转换成非敏感的形式。基于有限差分法,近似求解方程。已经获得了不同轴向冲击速度下弹性杆的屈曲模式。讨论了不同轴向冲击速度对弹性棒动态屈曲的影响。

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