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The extrema point deviatoric moment component
Ain Shams Engineering Journal ( IF 6.0 ) Pub Date : 2020-06-20 , DOI: 10.1016/j.asej.2020.05.001
Rajai Z. Al-Rousan , Mohammad A. Alhassan , Moheldeen A. Hejazi

The concern plate’s behavior was the growth of the extrema positive tensors of both mean (hydrostatic) and deviatoric moments. Systematic consideration of the limits and growth responses of the mean and deviatoric tensors at the extrema positive sections were calculated. It was found that the use of the shorter dimension for the moment normalization in both directions preserves the directional influence of the dimensions and isolates clearly the hydrostatic phenomenon. Moreover, the presence of non-identical boundary conditions in the plate on two perpendicular directions was found to result in the deviation of the two-way action of behavior. Consequently, a novel understanding of the two-way plate action has been achieved. In such understanding, the pure two-way action accompanies the occurrence of a hydrostatic curvature (or moment) at a plate’s extrema positive point. At the later state, the hydrostatic and deviatoric tensor components would be equal. Based on linear and multi-Stage regression analysis, the growth of the normalized hydrostatic moment component (CHMc) with the geometrical aspect has been deemed to follow a linear regression model, as well as the growth of the deviatoric moment component with the geometrical aspect ratio, has been deemed to follow the sigmoidal, Morgan-Mercer-Flodin (MMF) nonlinear regression model.



中文翻译:

极点偏斜矩分量

关注板的行为是平均(静水力)矩和偏斜矩的极值正张量的增长。系统地考虑了极值正切面的平均张量和偏张量的极限和增长响应。已经发现,在两个方向上将较短的尺寸用于矩量归一化可以保留尺寸的方向影响,并且可以清楚地隔离静水现象。此外,发现在两个垂直方向上的板中存在不同的边界条件会导致双向行为的偏离。因此,获得了对双向板动作的新颖理解。这样的理解 纯双向作用伴随着板极值正点处的静水曲率(或力矩)的出现。在稍后的状态下,静水张量分量和偏张量分量将相等。基于线性和多阶段回归分析,归一化静水矩分量的增长(具有几何长宽比的C HMc)被认为遵循线性回归模型,具有几何长宽比的偏矩矩分量的增长被认为遵循S型,Morgan-Mercer-Flodin(MMF)非线性回归模型。

更新日期:2020-06-20
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