Something about the Mechanical Moment of Inertia

Abstract

In this study, the relations to determining mass moments of inertia (mechanical) for different mass and mechanical inertia corresponding to geometric shapes, objects and profiles are explored. The formulas for calculating the mass moments of inertia (mechanical) for various bodies (various geometrical forms), to certain major axis indicated (as the axis of calculation) are presented. The total mass M of the body is used to determine the mass moment of inertia (mechanical). In the first part of the paper, an original method for determining the mass moment of inertia (mechanical) of the flywheel is presented. Mass moment of inertia (the whole mechanism) reduced at the crank (reduced to the element leader) consists in a constant mass inertia moment and one variable, to which we may include an additional mass moment of inertia flywheel, which aims to reduce the degree of unevenness of the mechanism and the default machine. The more the mass moment of inertia of the flywheel is increased the more the unevenness decreased and dynamic functioning of the mechanism is improved. Engineering optimization of these values can be realized through new relationships presented on the second paragraph of the article. Determining of the mass moment of inertia of the flywheel with the new method proposed is also based on the total kinetic energy conservation.