基于RKDG方法的船体板架爆炸冲击响应数值模拟

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (13) : 60-65.

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于福临，郭君，姚熊亮，任少飞

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Numerical Simulation of Hull Grillage Response Under Blast Loading Based on the RKDG Method

YU Fulin GUO Jun YAO Xiongliang REN Shaofei

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摘要

基于欧拉流体力学方程组，对方程组分别进行间断迦辽金法空间离散和龙格库塔法时间离散，采用RKDG方法建立数值模型，模拟自由场空中爆炸冲击波载荷特性，并与经验公式对比，对RKDG计算程序进行验证。针对强间断性的空中爆炸冲击波与周围低压空气耦合特性问题，给出了流场密度和压力分布规律。最后编制计算程序，结合大型非线性有限元软件LS-DYNA，模拟板架结构在空中爆炸载荷作用下的变形和响应特征，计算发现：板架沿着T型材出现塑性变形，板格呈现局部隆起的碟形变形区，响应与距离爆心距离成反比。

Abstract

In order to simulate the characteristics of far field air explosion shock load, the discretizations of Euler equations were solved by RKDG method. The numerical model was established and far field air explosion shock wave load characteristics were simulated. The results were compared with the empirical formula. The density and pressure distribution of high pressure shock wave with large discontinuity were simulated with Fortran program. Combined with LS-DYNA, impulse responses of hull plates under shock load are simulated. The results indicate that the plastic deformed shape profiles along the stiffener direction, and the plate shows local dishing deformation, and the response is inversely proportional to the distance from the explosion center.

关键词

间断伽辽金 / 空中爆炸 / 耦合特性 / 数值模拟

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于福临，郭君，姚熊亮，任少飞. 基于RKDG方法的船体板架爆炸冲击响应数值模拟[J]. 振动与冲击, 2015, 34(13): 60-65

YU Fulin GUO Jun YAO Xiongliang REN Shaofei. Numerical Simulation of Hull Grillage Response Under Blast Loading Based on the RKDG Method[J]. Journal of Vibration and Shock, 2015, 34(13): 60-65

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