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Dynamic Stability Analysis of Beams with Shear Deformation and Rotary Inertia Subjected to Periodic Axial Forces by Using Discrete Singular Convolution Method

机译:离散奇异卷积法分析具有周期性轴向力的剪切变形和转动惯量的梁的动力稳定性。

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This paper presents dynamic stability analysis of beams with shear deformation and rotary inertia subjected to periodic axial forces by employing a discrete singular convolution (DSC) algorithm with regularized Shannon kernel. The shear effect has been taken into account based on Engesser's and Haringx's theories, respectively. A modified algorithm is proposed to solve the governing equations of beam motion. The influence of rotary inertia, shear deformation, and damping on dynamic instability regions has been investigated. The obtained numerical results are compared with those of the existing method. Numerical results indicate that the modified algorithm is a reliable approach for the solutions of this kind of problem in this investigation. The differences between dynamic instability regions of beams based on Engesser's and Haringx's theories are also presented. (C) 2015 American Society of Civil Engineers.
机译:本文通过采用正则化Shannon核的离散奇异卷积(DSC)算法,对具有周期性轴向力的剪切变形和旋转惯性的梁进行动力稳定性分析。分别基于Engesser和Haringx的理论考虑了剪切效应。提出了一种改进的算法来求解梁运动的控制方程。研究了旋转惯性,剪切变形和阻尼对动态不稳定区域的影响。将获得的数值结果与现有方法的数值结果进行比较。数值结果表明,本文提出的改进算法是解决此类问题的可靠方法。还提出了基于Engesser和Haringx理论的梁动态不稳定性区域之间的差异。 (C)2015年美国土木工程师学会。

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