ABSTRACT

If the nonlinear equation, j(¢) = 0, is rearranged into the form ¢ = ¢ + j(¢) = g(¢), the fixed-point iteration formula becomes

and gl(¢) is given by g/(¢) = 1+ R2 sin(¢) - sin(a - ¢)

(3.51 )

(3.52) Substituting the final solution value, ¢ = 32.015180 deg, into Eq. (3.52) gives g'(¢) = 2.186449, which is larger than 1.0. The iteration method would not converge to the desired solution for this rearrangement ofj(¢) = 0 into ¢ = g(¢). In fact, the solution converges to ¢ = -9.747105 deg, for which g'(¢) = -0.186449. This is also a solution to the four-bar linkage problem, but not the desired solution.