Abstract
In this report, we derive design equations and techniques for the dynamic balancing of five-bar linkage, using a novel and simplified approach. Firstly, in order to derive the dynamic equations of the mechanism we have applied the natural orthogonal complement method. Subsequently, an optimization method for the dynamic balancing of the linkage is proposed. The conditions of dynamic balancing of the five-bar linkage are expressed as seven equations and four inequalities, with twelve linkage parameters. The dynamic balancing of the mechanism is formulated and solved as an optimization problem under equality constraints. The application of the new approach is illustrated through a numerical example.
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Ilia, D., Sinatra, R. A novel formulation of the dynamic balancing of five-bar linkages with applications to link optimization. Multibody Syst Dyn 21, 193–211 (2009). https://doi.org/10.1007/s11044-008-9134-2
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DOI: https://doi.org/10.1007/s11044-008-9134-2