Application of Equimomental System of Point Masses for Dynamic Balancing of Mechanisms

This paper presents the concept of equimomental system of point-masses for rigid body to balance the mechanisms dynamically. The links of mechanism are modelled as rigid bodies for kinematic and dynamic analysis. The mass and moment of inertias of the links govern the shaking force and shaking moment transmitted to the frame on which they are mounted. Optimization of mass and moment of inertias methodology is used in minimizing the shaking force and shaking moment. The formulation of optimization problem is greatly simplified using the equimomental system of point-masses. The effectiveness of the method is illustrated with an example.