EFFECT OF CARRIAGE MASS UPON THE LOADS AND MOTIONS OF A PRISMATIC BODY DURING HYDRODYNAMIC IMPACT

A theoretical derivation for the effect of a towing-carriage mass upon the general equations of motion is made for a prismatic body during a hydrodynamic impact. The resulting equations include a correction "factor j that depends on the trim and the ratio of the carriage mass to the body mass. The equations can be used at any stage of the impact to determine the resulting loads and motions of the body, including the effect of a carriage mass. Because of the complexity of the equations for the completely gen-eral case, it is necessary to choose examples to aid in showing the conditions at which the carriage mass is important. The examples chosen are the V-bottom float with nonimmersed chines and the flat plate with deeply immersed chines. For these examples'the equations are analyzed at particular stages of the impact, namely, at maximum acceleration and at maximum penetration. At these stages indicative curves are plotted for an infinite carriage mass in one case and with the carriage mas