A new approach for the optimal synthesis of four-bar path generator linkages

In this paper, an optimal synthesis of four-bar path generator, using a robust mathematical formulation is presented. Natural coordinates are used in order to solve the four-bar mechanism kinematic position analytically and the Hermitian conjugate is used to build a goal function whose range is the real numbers' set. A Teaching Learning Based Optimization Algorithm is implemented to test the proposed formulation robustness, also the possibility of extending the method to another type of mechanism is described. The main advantages of the formulation are its simplicity and robustness due that the equations involved in the formulation are algebraic and the numerical field is the complex's set.