A new method for reverse force analysis of a spatial three-spring system

Using the idea of Dixonʹs resultant, a new method for the reverse force analysis of a spatial three-spring system is presented. By this method a 6 by 6 matrix is derived, and the 22nd degree polynomial in a single spring length is obtained only by computing the determinant of the 6 by 6 matrix. The result has been verified by a numerical example. The symbolic computation is carried out by computer algebraic system MATHEMATICA.