Problems in mechanism analysis and synthesis and robotics lead naturally to systems of nonlinear equations. In this paper, an approach based on Newton Raphson method and the property of fractals is presented to obtain...Problems in mechanism analysis and synthesis and robotics lead naturally to systems of nonlinear equations. In this paper, an approach based on Newton Raphson method and the property of fractals is presented to obtaining all roots of equation. An example from plane mechanism synthesis is given to demonstrate the idea of the method.展开更多
基金Supported by the National Natural Science Foundation of China(No.59975077)the Science Foundation of SWJTU(No.1999XM05)
文摘Problems in mechanism analysis and synthesis and robotics lead naturally to systems of nonlinear equations. In this paper, an approach based on Newton Raphson method and the property of fractals is presented to obtaining all roots of equation. An example from plane mechanism synthesis is given to demonstrate the idea of the method.