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A new equivalent method for complex-shaped pulse loading based on saturation analysis and membrane factor method
International Journal of Impact Engineering ( IF 5.1 ) Pub Date : 2021-09-02 , DOI: 10.1016/j.ijimpeng.2021.104018
Ling Zhu , Lanren Tian , Faliang Chen , T.X. Yu

The dynamic plastic response with large deformation of thin plates under simple pulse loading has been studied systematically over past decades by using modal analysis and transient analysis. However, it is difficult to carry out the corresponding theoretical analysis directly for the more complex-shaped loading pulse. Hence, it is highly desired to find a pulse-equivalent technique to replace the real complex-shaped pulse by a simple pulse (e.g., a rectangular pulse), which produces the same deflection as the complex-shaped loading pulse while is relatively easier to analyze. In this paper, taking the fully clamped square plate under exponentially decaying (ED) pulse as a major example, for which the complete solution is given in [37], as obtained by the combination of Membrane Factor Method (MFM) and Saturation Analysis (SA). With the formulae on the saturated deflection and saturated impulse resulted from this solution, we are able to not only compare the Saturation Equivalent Method (S-EM) with the classical Youngdahl Equivalent Method (Y-EM), but also propose a new equivalent method, named as Progressive Equivalent Method (P-EM). By adopting a multi-step equivalency to gradually approach the saturated deflection, P-EM is capable of handling various complex-shaped loading pulses while Youngdahl empirical formula is no longer in need. The procedure of applying P-EM is also demonstrated by an example of handling complex-shaped pulses produced by constrained explosion loading, which contain multiple peaks. An extensive comparison concludes that in case of complex-shaped pulse loading, the innovative P-EM shows clear advantages over Y-EM and S-EM, and provides great convenience for engineering assessment and design.



中文翻译:

基于饱和度分析和膜因子法的复形脉冲载荷等效新方法

在过去的几十年中,通过使用模态分析和瞬态分析,已经系统地研究了在简单脉冲载荷下薄板大变形的动态塑性响应。然而,对于形状更复杂的加载脉冲,很难直接进行相应的理论分析。因此,非常需要找到一种脉冲等效技术,用简单的脉冲(例如矩形脉冲)代替真正的复杂形状的脉冲,产生与复杂形状的加载脉冲相同的偏转,同时相对更容易分析。在本文中,以指数衰减(ED)脉冲下的完全钳位方板为例,其完整解在[37]中给出,由膜因子法(MFM)和饱和度分析相结合获得( SA)。根据该解产生的饱和挠度和饱和脉冲的公式,我们不仅可以将饱和等效法(S-EM)与经典的杨达尔等效法(Y-EM)进行比较,而且还提出了一种新的等效方法,称为渐进等效法(P-EM)。通过采用多步等效逐渐接近饱和挠度,P-EM 能够处理各种复杂形状的加载脉冲,而不再需要 Youngdahl 经验公式。应用 P-EM 的过程还通过处理由约束爆炸载荷产生的复杂形状脉冲的示例进行了演示,其中包含多个峰值。广泛的比较得出结论,在复杂形状的脉冲负载的情况下,创新的 P-EM 比 Y-EM 和 S-EM 显示出明显的优势,

更新日期:2021-09-13
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