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Virtual Mass of Any Shape of Body by using General Mapping Function

机译:使用通用映射功能的任意形状的虚拟质量

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When an object is moving in acceleration with fluid interaction from surrounding, it possesses virtual mass (added mass) in which the total mass of object is higher than the original mass. The exact conformal mapping method was proposed to determine the virtual mass. However, it is difficult to determine the virtual mass for the body of random shape by using conformal mapping. Therefore the new concept of mapping function is proposed. It is based on Laurent series that has been proposed to map the body of random shape to a circle. The function of a body shape is expressed in Fourier series which is essential to determine the complex coefficients of mapping function (Laurent series). Proposed method is compared with exact conformal method (equilateral polygon) and the validity is confirmed.
机译:当物体在加速运动中与周围的流体相互作用时,它具有虚拟质量(附加质量),其中物体的总质量高于原始质量。提出了精确的保形映射方法来确定虚拟质量。但是,通过使用保形映射很难确定随机形状的物体的虚拟质量。因此提出了映射函数的新概念。它基于Laurent系列,已提出将随机形状的主体映射到圆上。身体形状的功能以傅立叶级数表示,这对于确定映射函数的复数系数至关重要(洛朗级数)。将提出的方法与精确保形方法(等边多边形)进行比较,并确认了有效性。

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