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At first, the shaking force and shaking moment are cancelled via a cam mechanism carrying a counterweight.
The predictions from the theoretical model of the shaking force agree well with the measurements.
Relations between the excitation torque and the vertical shaking force are examined using the frequency response for the linearized system.
In the first stage, the shaking force and shaking moment are minimized by optimizing mass distribution of links using the equimomental system of point-masses for each link.
Balancing of combined shaking force and shaking moment shows a significant improvement in the dynamic performances compared to that of the original mechanisms.
The shaking force and shaking moment are then evaluated in terms of the point-mass parameters and presented as the objective function for the proposed optimization problem.
This procedure is based on the fact that while the magnitude of either the shaking force or the shaking moment can be bounded through including a set of constraints in the optimisation algorithm, the sensitivities of the other, either those of the shaking force or the shaking moment, can be minimised.
In this paper, for the first time, the generalized Lanchester balancer is proposed, which allows the shaking force balancing of crank slider mechanisms of large eccentricity.
This is of importance for the design of inherently shaking force balanced mechanisms, static balancing, and other branches of mechanical synthesis.
The Lanchester balancer consists of equal counter rotating weights sized and aligned to eliminate the frequency terms of the frame shaking force.
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