Added Masses of Ship Structures

Knowledge of added body masses that interact with fluid is necessary in various research and applied tasks of hydro- and aeromechanics: steady and unsteady motion of rigid bodies, total vibration of bodies in fluid, local vibration of the external plating of different structures.

1. General discussion of Body Motion in Ideal Infinite Fluid 1.1 Formulation of The Problem 1.2 Kinetic Energy of the Fluid 1.3 Transformation of added masses under a change of coordinate System 1.4 Hydrodynamic force and torque influencing a body moving in an ideal incompressible fluid 1.5 Ellipsoids of added masses and ellipsoids of added moments of inertia 2. The added masses of planar contours moving in ideal unlimited fluid 2.1 Sedov''s Technique 2.2 The added masses of simple contours 2.2.1 Elliptic contour, circular contour and interval (plate) 2.2.2 Elliptic contour with one rib, T-shape contour 2.2.3 Elliptic contour with two symmetric ribs 2.2.4 Elliptic contour with horizontal and vertical ribs 2.2.5 Symmetrical profile made up of two intersecting intervals (plates) 2.2.6 Circle with two hitches 2.2.7 Circle with two side ribs 2.2.8 Circle with cross-like positioned ribs 2.2.9 Circle with two tangent horizontal ribs 2.2.10 Regular inscribed polygon 2.2.11 Zhukowskiy''s foil profile 2.2.12 Arch of the circle under different positions of coordinate axes 2.2.13 Lense formed by two circular arches 2.2.14 Hexagon, rectangle, rhomb, octagon, square with four ribs 2.2.15 Plate with flap 2.3 Added masses of lattices 2.3.1 Two plates located on one line 2.3.2 Three plates located on one line 2.3.3 Lattice of plates 2.3.4 Lattice of rectangles 2.4 Added masses of a duplicated shipframe contour moving in unlimited fluid 2.5 Added masses of inclined shipframe 2.6 Added masses of catamarans and twin rudders 3. Added masses of three-dimensional bodies in infinite fluid 3.1 Added masses of ellipsoid moving in infinite fluid 3.2 Added massesof oblate spheroid, elongated ellipsoid of revolution, sphere, disc and elliptic plates 3.3 Added masses of thin finite-span airfoils 3.4 Added masses of thin circular cylindrical airfoil 3.5 Approximate methods to determine added masses of 3D bodies 3.5.1 Method of plane sections 3.5.2 Method of equivalent ellipsoid 3.5.3 Approximate formulas for added masses of the hull 4. Added masses of interacting bodies Added masses of interacting bodies moving in fluid Formulation of the problem Motion of two spheres in infinite fluid Added masses of bodies moving close to solid boundary 4.2.1 Sphere moving close to solid wall 4.2.2 Circular cylinder moving near flat hard wall 4.2.3 Elliptic cylinder moving near flat hard wall 4.2.4 Elliptic cylinder moving between two flat walls in the direction parallel to the walls 4.2.5 Motion of parallelepipeds in infinite fluid and between flat walls 4.2.6 Ellipsoid of revolution moving near a flat wall 4.2.7 Three-axial ellipsoid moving near a flat wall 4.2.8 System of oblate ellipsoids of revolution 4.2.9 Infinite chain of three-axial ellipsoids 4.2.10 Sphere in various systems (chains, lattices) 4.2.11 Ellipsoid of revolution moving in bisecting plane of dihedral angle 4.2.12 Influence of the boundary and the free surface on added masses of foils Added masses of bodies moving in enclosed space filled with fluid 4.3.1 Motion of a sphere in the fluid contained within a spherical concentric shell 4.3.2 Ellipsoid of revolution moving in fluid within confocal elliptic cavity 5. Added masses of bodies moving close to free surface 5.1 Boundary conditions on free surface