一种用于自由振动和特征屈曲分析的新型剪切锁定自由四边形板单元

IF 0.6 4区 工程技术 Q4 MECHANICS Mechanika Pub Date : 2022-08-30 DOI:10.5755/j02.mech.30331
Wei XiaXIANGng, Z. Yao, Lina He
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引用次数: 0

摘要

在经典ACM单元的基础上,基于修正的一阶剪切变形板理论,假设板挠度具有弯曲和剪切分量,并通过弯曲挠度的微分定义两个旋转,通过简单地为每个节点增加一个自由度,从而建立了一个新的板单元。这种新元件具有16个自由度,无锁紧效应,适用于薄板和厚板。为了评估新开发的板单元的性能,将其应用于不同厚度比和边界条件下方形板的固有频率和临界屈曲载荷的预测。与已有的解析解和数值解的比较表明,新单元在自由振动和本征屈曲分析中具有较高的精度和较好的收敛性,可以与现有的板单元相媲美。
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A New Shear Locking-Free Quadrilateral Plate Element for Free Vibra-tion and Eigen-Buckling Analysis
A new plate element has been formulated by simply adding one degree of freedom for each node on the basis of the classical ACM element, based on a modified first-order shear deformation plate theory, which assumes that the plate deflection has bending and shearing components, with two rotations defined by differentiations of bending deflections. This new element, with 16 degrees of freedom, exhibits no locking effect, and is appropriate for both thin and thick plates. To assess the performance of the newly developed plate element, it has been applied to the prediction of natural frequencies and critical bucking loads of square plates with various thickness ratios and boundary conditions. Comparisons with available analytical and numerical solutions in open publication show that the new element leads to highly accurate solutions in free vibration and eigen-buckling analysis with good convergence, and can be competitive with existing plate elements.
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来源期刊
Mechanika
Mechanika 物理-力学
CiteScore
1.30
自引率
0.00%
发文量
50
审稿时长
3 months
期刊介绍: The journal is publishing scientific papers dealing with the following problems: Mechanics of Solid Bodies; Mechanics of Fluids and Gases; Dynamics of Mechanical Systems; Design and Optimization of Mechanical Systems; Mechanical Technologies.
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