曲柄滑块机构综合的三周期牛顿混沌法研究

3-cycle Newton chaos iteration solution method and its application to function synthesis of planar crank-slide mechanism

为了提高牛顿混沌迭代Julia点的求解效率,构造了基于三周期混沌求解Julia点的逆像迭代方法,提出了一种新的牛顿混沌迭代法,该方法可以求出解非线性方程组全部解.对平面曲柄-滑块机构综合进行了研究,计算实例表明该方法的正确性与有效性.

To improve the efficiency to find the Julia point in Newton chaos iteration methods, by constructing repulsion three-cycle point function and making use of inverse-image iterative methods, a new method to find Julia set point was introduced. A new method to find all solutions based on utilizing sensitive fractal areas to locate the Julia set point to find all solutions of the nonlinear questions was proposed. The developed technique uses an important feature of fractals to preserve the shape of basins of attraction on infinitely small scales. The numerical examples in planar crank-slide mechanisms show that the method is effective.