A GENERAL EQUATION OF MOTION FOR RIGID BODIES IN INCOMPRESSIBLE FLUIDS

摘要

Starting from the basic concepts of classical mechanics the general equation of motion for rigid bodies has been developed. Laws of forces acting in the masses of the bodies and on the surfaces of bodies moving in incompressible fluids have been established. Use has been made of concise analytical matrix notation which is essentially equivalent to, but more effective in operation than v. Mises symbolic Motor-rechnung. In terms of this notation the complete equation for the motions of bodies in spaces moving with the surrounding fluids becomes extremely comprehensive. Thus it allows ready discussion of the physical phenomena represented, development of consistent equations for special cases, development of methods for the determina¬tion of the properties of the systems investi¬gated and for the solution of the describing equations, and, last but not least, classifica¬tion and critical reviews of former methods and results.