Groebner bases is an important concept in polynomial ideals. In this paper the method of Groebner bases is applied to solving spatial Burmester problem for the first time, and the symbolic “triangular” Groebner base...Groebner bases is an important concept in polynomial ideals. In this paper the method of Groebner bases is applied to solving spatial Burmester problem for the first time, and the symbolic “triangular” Groebner bases, i.e. the closed form solution for the problem is obtained. An example of the synthesis of rigid body guidance of a spatial 5 s s mechanism which can realize spatial Burmester points is given to demonstrate the efficiency of the method.展开更多
文摘Groebner bases is an important concept in polynomial ideals. In this paper the method of Groebner bases is applied to solving spatial Burmester problem for the first time, and the symbolic “triangular” Groebner bases, i.e. the closed form solution for the problem is obtained. An example of the synthesis of rigid body guidance of a spatial 5 s s mechanism which can realize spatial Burmester points is given to demonstrate the efficiency of the method.
