Application of sizing design optimization to position and velocity synthesis in four bar linkage


  • Carlos Humberto Galeano-Urueña Universidad Nacional de Colombia
  • Carlos Alberto Duque-Daza Universidad Nacional de Colombia
  • Diego Alexander Garzón-Alvarado Universidad Nacional de Colombia


Four bar linkage, optimum design, synthesis, sequential quadratic programming


In this work, we have developed and solved the synthesis of position and velocity for four bar mechanisms by means of dimensional and optimal algorithms of nonlinear optimization (sequential quadratic programming SQP). The optimization problem was defined according to the synthesis needed: it can be trajectory, function or velocity generation. The velocity can be defined with an explicit or implicit trajectory. The optimization problem and the search algorithm used in this work allow reaching the best configuration by way of a simple scheme and few iterations. Alternatively, the development of a mix synthesis of position and velocity allows us validate the algorithm efficiency.

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How to Cite

Galeano-Urueña, C. H., Duque-Daza, C. A., & Garzón-Alvarado, D. A. (2013). Application of sizing design optimization to position and velocity synthesis in four bar linkage. Revista Facultad De Ingeniería Universidad De Antioquia, (47), 129–144. Retrieved from