An analytical method for optimal balancing of the shaking forces and the shaking moments of force of any plane mechanism driven by a constant speed shaft is developed. The optimal values of phase angle and mass moment of the balance weight on the driving shaft are ascertained, such that the variation of load on the machine supports due to shaking forces and shaking moments of force will be a mininum through a complete revolution of the driving shaft. Using a digital computer, this method is applicable to complicated mechanical systems; an illustrative example follows the analysis.

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