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A FULLY ELASTIC MODEL FOR STUDYING SUBMERGED CIRCULAR CYLINDRICAL SHELLS SUBJECTED TO A WEAK SHOCK WAVE

机译:研究水下冲击波作用下圆形圆柱壳的全弹性模型

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The transient dynamics of evacuated and fluid-filled circular elastic shells, submerged in an infinite fluid medium and subjected to an external weak shock wave, is considered in this paper. This circular shell/acoustic medium interaction problem has already been tackled with simplified thin shell models, based on the Love-Kirchhoff hypotheses for the structural dynamics. In this case, the resulting radiated pressure field displays some discrepancies related to the A_0/S_0 waves when compared to the experimental data available in the literature for the evacuated case. These drawbacks are overcome here by the use of an isotropic elastic model for the structural dynamics and an inviscid acoustic flow for the fluid dynamics, in a two-dimensional framework. It is assumed that the shell displacements are small compared to both its radius and thickness. The approach is based on the methods of Laplace transform in time, Fourier series expansions and separation of variables in space. For the fluid-filled case, the transient thick shell-weak shock wave interaction problem is explored and the radiated acoustic field described.
机译:本文考虑了排空且充满流体的圆形弹性壳的瞬态动力学,该壳浸没在无限的流体介质中并受到外部弱冲击波的影响。基于结构动力学的Love-Kirchhoff假设,已经通过简化的薄壳模型解决了圆形壳/声介质相互作用的问题。在这种情况下,与文献中可用于抽空情况的实验数据相比,所得的辐射压力场显示出一些与A_0 / S_0波有关的差异。在二维框架中,通过使用各向同性的弹性模型进行结构动力学,使用不粘的声流进行流体动力学,可以克服这些缺陷。假定壳的位移与其半径和厚度相比都较小。该方法基于时间拉普拉斯变换,傅立叶级数展开和空间变量分离的方法。对于充满流体的情况,探讨了瞬态厚壳弱冲击波相互作用问题,并描述了辐射声场。

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