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SCATTERING OF A PERIODICALLY STIFFENED SUBMERGED SHELL COUPLED TO NON-AXISYMMETRIC INTERNAL FRAMES

机译:散射定期加强的浸没壳,耦合到非轴对称内部框架

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Numerical models of periodically stiffened axisymmetric submerged shells impinged by an acoustic plane wave have been developed in order to study the scattered pressure by this target. Along with experimental results, they show that Bragg, Bloch-Floquet and helical waves can be observed. Nevertheless, the influence of added non-axisymmetric internal frames on the propagation of these waves has not been intensively studied. One can wonder if the scattering from these waves can still clearly be seen in this case. However, adding non-axisymmetries in the system couples the circumferential orders of the Fourier series and considerably increases the computational costs. A sub-structuring approach called the Condensed Transfer Function (CTF) method has been recently developed to couple subsystems along linear junctions. The displacements and forces at the junctions are decomposed on a set of orthonormal functions called condensation functions. Condensed transfer functions are defined for each uncoupled subsystems, and the behaviour of the coupled system can be deduced thanks to the superposition principle for passive linear systems, the force equilibrium and displacement continuity. The main advantage of the method is that the uncoupled subsystems can be described by any method. Thus, in the case of a submerged stiffened shell with non-axisymmetric internal frames, the axisymmetric stiffened submerged shell is described on one hand by a method called Circumferential Admittance Approach (CAA) while on the other hand the non-axisymmetric internal substructures are modelled by the Finite Element Method (FEM). The CAA is a dedicated model which uses the axisymmetry to save computational costs while the FEM offers a great flexibility on the design of the internal structures. A periodically stiffened submerged cylindrical shell including non-axisymmetric structures will be given as an example and the scattered pressure will be compared to the axisymmetric case.
机译:已经开发出由声波冲击的周期性加强的轴对称浸出壳的数值模型,以便通过该靶标研究散射压力。随着实验结果,它们表明,可以观察到布拉格,布洛克浮子和螺旋波。然而,尚未深入研究添加非轴对称内部帧对这些波的传播的影响。在这种情况下,人们可以想知道来自这些波的散射是否可以清楚地看到这些波。然而,在系统中添加非轴对象耦合傅里叶系列的圆周顺序,大大提高了计算成本。最近已经开发了称为浓缩传递函数(CTF)方法的子结构化方法,以沿线性结合耦合子系统。交叉点的位移和力在称为冷凝功能的一组正式功能上分解。为每个未耦合的子系统定义浓缩传递函数,并且由于被动线性系统的叠加原理,力平衡和位移连续性,可以推断耦合系统的行为。该方法的主要优点是可以通过任何方法描述未耦合的子系统。因此,在具有非轴对称内部框架的浸没的加强壳的情况下,通过一种圆周导纳方法(CAA)的方法一手描述轴对称加强的浸渍壳,而另一方面则在另一方面,非轴对称内部子结构模拟通过有限元方法(FEM)。 CAA是一种专用模型,它使用轴对称,以节省计算成本,而FEM在内部结构的设计方面提供了很大的灵活性。将包括非轴对称结构的周期性加强的浸没式圆柱形壳,作为示例,将散射压力与轴对称情况进行比较。

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