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首页> 外文期刊>International journal of non-linear mechanics >Elasto-plastic vibrational analysis of tapered bars under uniform axial loading considering shear deformation and rotary inertia
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Elasto-plastic vibrational analysis of tapered bars under uniform axial loading considering shear deformation and rotary inertia

机译：考虑剪力变形和转动惯量的均匀轴向载荷下锥形杆的弹塑性振动分析

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摘要

The analysis of structures in the plastic regime is important in order to develop an adequate and competitive design in engineering. This paper presents a study of the small-amplitude free vibration of tapered bars under pre-stress in the post-elastic regime due to a uniform axial loading. The plastic behavior is taken into account using an energy approach. The method does not require an iterative procedure, unlike conventional methods used in plasticity. The Timoshenko beam theory and the dynamic version of the principle of virtual work are used to derive the eigenvalue problem. The solution is carried out using beam finite elements. The results are validated using 3D finite element software and results from the open literature. A variety of numerical results are given in order to analyze the influence of plastic behavior for various bar geometries and material parameters. The combined effect of the stiffening due to the axial loading and the plastic softening may produce an increase or decrease of the natural frequencies as the tensile load increases. The plastic softening effect is seen to be pronounced for short bars and for high taper ratios. In addition, axial normal modes are more affected than bending modes. (C) 2017 Elsevier Ltd. All rights reserved.
机译：塑性状态下的结构分析对于在工程中开发适当且具有竞争力的设计非常重要。本文提出了在均匀受轴向载荷作用下的后弹性状态下，预应力作用下的锥形钢筋的小振幅自由振动的研究。使用能量方法考虑了塑性行为。与可塑性中使用的常规方法不同，该方法不需要迭代过程。季莫申科梁理论和虚拟功原理的动态版本被用来导出特征值问题。该解决方案使用梁有限元进行。使用3D有限元软件验证了结果，并使用了公开文献中的结果。给出了多种数值结果，以分析塑性行为对各种几何形状和材料参数的影响。随着轴向载荷的增加，由于轴向载荷和塑性软化而产生的加强作用的共同作用可能会导致固有频率的增加或减少。对于短棒和高锥度比，塑性软化效果明显。此外，轴向法线模式比弯曲模式受到的影响更大。 （C）2017 Elsevier Ltd.保留所有权利。

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