E. Scheiber et M. Lupu, NUMERICAL-SOLUTIONS TO INVERSE PROBLEMS OF GENERAL PLANAR MOTION, Computer methods in applied mechanics and engineering, 146(3-4), 1997, pp. 197-214
In this paper the planar motion is considered as a combination of tran
slation of the base point O and rotation about axis Z of a plane mecha
nism. The equations of the fixed centrode (B), the trajectory (T) and
the movable centrode (R) are obtained. Three inverse problems are stud
ied: if two of these curves are known, find the third one. Implicit di
fferential equations are obtained. Numerical methods to solve these im
plicit differential equations are presented.