Large deformation solutions to post-buckled beams confined by movable and flexible constraints: A static and dynamic analysis
Large deformation solutions to post-buckled beams confined by movable and flexible constraints: A static and dynamic analysis
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DOI：
10.1016/j.ijsolstr.2017.08.014
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发表时间：
2017-12
影响因子：
3.6
通讯作者：
Pengcheng Jiao;W. Borchani;N. Lajnef
中科院分区：
文献类型：
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作者：
Pengcheng Jiao;W. Borchani;N. Lajnef
本文建立了一个静态和动态大变形模型，研究了受可动和柔性双边约束的细长梁的后屈曲响应。提出了一种新的离散化算法，将不规则约束转化为间隙向量。基于欧拉-伯努利梁理论建立了控制方程。提出了一种能量法，利用改进的Nelder-Mead算法求解方程组。相对于差距矢量执行总能量的约束最小化。该模型的理论结果，即，变形梁的形状配置和力-位移关系，与现有的研究和实验进行了比较。规则和可移动的约束，静态模型与现有的小变形和大变形模型进行了比较。将规则和柔性约束的动力学模型与实验进行了比较。遵守令人满意的协议。参数研究进行调查后屈曲响应的加载和约束条件。特别地，首先通过改变加载频率来检查加载条件。最高可实现的屈曲模式，然后研究相对于可移动的约束梁和柔性约束梁的杨氏模量比，分别，和墙的间隙梁的长度比。所提出的理论模型是有效的理解和预测的静态和动态后屈曲响应的梁约束的活动和柔性约束。
This paper develops a static and dynamic large deformation model to investigate the post-buckling response of slender beams constrained by movable and flexible bilateral confinements. A novel discretization algorithm is proposed to convert the irregular constraints into gap vectors. Governing equations are formulated based on the Euler-Bernoulli beam theory. An energy method is presented to solve the equations using a modified Nelder–Mead algorithm. A constrained minimization of the total energy is carried out with respect to the gap vectors. The theoretical results of the proposed model, i.e., the deformed beam shape configuration and force-displacement relationship, are compared with existing studies and experiments. The regularly and movably constrained, static model is compared with the existing small and large deformation models, respectively. The regularly and flexibly confined, dynamic model is compared with experiments. Satisfactory agreements are observed. Parametric studies are conducted to investigate the post-buckling response in terms of loading and constraints conditions. In particular, the loading condition is first examined by changing the loading frequency. The highest achievable buckling mode is then studied with respect to the Young's moduli ratios of movable constraints-to-beam and flexible constraints-to-beam, respectively, and the ratio of walls gap-to-beam length. The proposed theoretical models are effective in understanding and predicting the static and dynamic post-buckling response of beams constrained by movable and flexible confinements.