Virtual mass of regular polygon at angle of attack

Abstract

In case of the accelerating motion like a sinusoidal motion, the virtual mass effect should be taken into account in equation of motion. Generally speaking we should find the appropriate mapping functions while they are restricted in some functions. To the author’s knowledge, the virtual mass of the regular polygon is not shown by the exact solution, while the regular polygon is used as a sectional shape of the structure like a building, a membrance of a structure and so on. It is shown that the virtual mass of an regular polygon has been calculated by using the exact conformal mapping, in which the angle of attack is taken into account. Results show that it is not dependent from the angle of attack except the flat plat (n=2). It means, although the body shape is not a point symmetry, there is no dependence of angle of attack on virtual mass except the flat plate.