The Research of Mechanism Synthesis Based on Mechanical Fractional Order Chaos System Methods

Many questions in natural science and engineering are transformed into solving nonlinear equations. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess points. For the first time, the fractional order mechanical chaos methods of mechanism synthesis and all solutions of the nonlinear questions of mechanism synthesis were found by utilizing chaotic sequences of chaotic motions of mechanical fractional order system to obtain local initial points. As an example the problem of function generation for planar four-linkage guide mechanism was considered. This makes multi-projects selecting be possible. This method is adaptive to planar multi-linkage and spatial mechanism. This provides a new simple realization method for mechanics design.