Abstract: Aiming at solving the nonlinear equations of mechanism synthesis,a hybrid chaotic algorithm is presented.The equations are transformed into an optimization problem．A new hybrid algorithm which combines the chaos optimization method and the nonlinear conjugate gradient method approach having an effective convergence property is proposed．The hybrid algorithm can help the conjugate gradient approach to skip the local minimum and finally can find the global minimum．The numerical example of mechanism synthesis shows all real solutions can be found with the proposed method and it shows the efficiency of this algorithm．The proposed method is simple and easy to use,and it is valuable to popularize it.

Key words: mechanism synthesis, nonlinear equations；nonlinear conjugate gradient method；chaos optimization algorithm；hybrid algorithm