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Interactive dynamic buckling of orthotropic thin-walled channels subjected to in-plane pulse loading

机译:平面内脉冲载荷作用下正交各向异性薄壁通道的交互式动态屈曲

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摘要

The present paper deals with a dynamic response of thin-walled columns subjected to in-plane pulse loading when the shear lag phenomenon and the distortional deformations are taken into account. The structures are assumed to be simply supported at the ends. In order to obtain the equations of motion of individual plates, the nonlinear theory of orthotropic thin-walled plates has been modified in such a way that it additionally accounts for all components of inertial forces. The differential equations of motion have been obtained from Hamilton's principle. The disturbance theory has been applied in order to obtain an approximate analytical solution to the equations. The problem of nonlinear stability has been solved with the transition matrix method. The problem has been investigated on the basis of the asymptotic analytical-numerical method and the finite element method. The calculations have been carried out for a channel.
机译:当考虑剪力滞后现象和变形变形时,本文研究了承受面内脉冲载荷的薄壁柱的动力响应。假定结构在端部得到简单支撑。为了获得单个板的运动方程,对正交各向异性薄壁板的非线性理论进行了修改,使其另外考虑了惯性力的所有分量。运动的微分方程是从汉密尔顿原理获得的。应用扰动理论是为了获得方程的近似解析解。非线性稳定性问题已通过转移矩阵法得以解决。该问题已基于渐近分析数值方法和有限元方法进行了研究。计算已针对一个通道进行。

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