The Behavior of Quadrangular Plates under Impulsive Loading: a Dimensional Analysis

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MIRZABABAIE MOSTOFI TOHID; Sayah Badkhor Mostafa; BABAEI HASHEM

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Journal: Journal of Aerospace Mechanics Year:2021 | Volume:16 | Issue:4 (62) Page(s): 85-99

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Information Journal Paper

Title

The Behavior of Quadrangular Plates under Impulsive Loading: a Dimensional Analysis

Author(s)

MIRZABABAIE MOSTOFI TOHID | Sayah Badkhor Mostafa | BABAEI HASHEM | Issue Writer Certificate

Keywords

Uniform loadingQ1

Localized loadingQ1

Non-dimensional analysisQ1

Empirical modelQ2

Quadrangular plateQ1

Abstract

In this paper, a Non-dimensional analysis approach has been used to propose two empirical equations based on dimensionless numbers to predict the maximum transverse permanent deflection-thickness ratio of single-layered Quadrangular plates under uniformly and locally distributed dynamic loading. In the presented dimensionless numbers, the effect of plate geometry, the impulse of the applied load, the mechanical properties of the plate, the strain-rate sensitivity, and the loading radius have been considered. To validate the Empirical models, eight series of conducted experiments and 267 data points in the state of the art over the past forty years have been used. The obtained results show good agreement between the model prediction results and the experimental values so that in the total of 117 experimental data for Uniform loading, 94% (110 data) and 98% (115 data) of the data points were distributed in the ± 10% and ± 20% error range, respectively. Besides, in the total of 150 experimental data for Localized loading, 83% (124 data) and 97% (146 data) of data points were distributed in these two ranges, respectively. The results also showed that assuming the material constants as variables based on the plate thickness, in the Cooper-Symonds constitutive equation improves the prediction accuracy of the Empirical models so that only 6% and 12% of the data for uniform and Localized loading respectively, are not within the 10% error range.

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APA: Copy

MIRZABABAIE MOSTOFI, TOHID, Sayah Badkhor, Mostafa, & BABAEI, HASHEM. (2021). The Behavior of Quadrangular Plates under Impulsive Loading: a Dimensional Analysis. AEROSPACE MECHANICS JOURNAL, 16(4 (62) ), 85-99. SID. https://sid.ir/paper/406573/en

Vancouver: Copy

MIRZABABAIE MOSTOFI TOHID, Sayah Badkhor Mostafa, BABAEI HASHEM. The Behavior of Quadrangular Plates under Impulsive Loading: a Dimensional Analysis. AEROSPACE MECHANICS JOURNAL[Internet]. 2021;16(4 (62) ):85-99. Available from: https://sid.ir/paper/406573/en

IEEE: Copy

TOHID MIRZABABAIE MOSTOFI, Mostafa Sayah Badkhor, and HASHEM BABAEI, “The Behavior of Quadrangular Plates under Impulsive Loading: a Dimensional Analysis,” AEROSPACE MECHANICS JOURNAL, vol. 16, no. 4 (62) , pp. 85–99, 2021, [Online]. Available: https://sid.ir/paper/406573/en

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