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首页> 外文期刊>International journal of steel structures >Dynamic stability analysis for Beck's type of inelastic Timoshenko steel columns
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Dynamic stability analysis for Beck's type of inelastic Timoshenko steel columns

机译：Beck型非弹性Timoshenko钢柱的动力稳定性分析

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摘要

In this study, the dynamic stability analysis of a Beck's type of steel column subjected to a sub-tangential follower force is presented considering the effects of gradual yielding along the length of column, the shear deformation, and the rotary inertia. The nonlinear tangent modulus-stress, tangent modulus-slenderness ratio, and compressive stress-strain relationships of an inelastic column are derived from the column strength curve given in Korea Bridge Design Code (KBDC) based on the tangent modulus theory. The equations of motion of the Timoshenko inelastic column are derived from the Hamilton's principle. The finite element method using the Hermite cubic interpolation functions is employed to obtain the mass, inelastic stiffness, geometric stiffness, and load correction matrices, and the evaluation procedure for critical values of divergence and flutter of the non-conservative system is briefly described. The obtained results are compared with available results of other numerical or analytical methods. Finally, the effects of various structural parameters such as the material inelasticity, the shear deformation, the rotary inertia, the effective length factor, and the sub-tangentiality factor on the divergence and flutter behavior of non-conservative columns are parametrically investigated.
机译：在这项研究中，考虑了沿柱长逐渐屈服，剪切变形和旋转惯性的影响，提出了承受亚切向跟随力的贝克型钢柱的动力稳定性分析。基于正切模量理论，根据《韩国桥梁设计规范》（KBDC）中给出的柱强度曲线，得出了非弹性柱的非线性正切模量-应力，正切模量-伸长比和压应力-应变关系。 Timoshenko无弹性柱的运动方程式是从汉密尔顿原理导出的。采用Hermite三次插值函数的有限元方法获得质量，非弹性刚度，几何刚度和载荷校正矩阵，并简要描述了非保守系统散度和颤动的临界值的评估程序。将获得的结果与其他数值或分析方法的可用结果进行比较。最后，参数化研究了各种结构参数，例如材料的非弹性，剪切变形，旋转惯性，有效长度因子和次切向因子对非保守柱的发散和颤动行为的影响。

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