We present an extension of our recent work on the existence of low dimensional chaotic attractors in the rheology of dilute periodically forced suspensions to the semi-dilute limit. We present some approximations that reduce the computation time significantly and make it possible to generate sufficient data for analysis using the tools of nonlinear dynamics and chaos theory, even on a Pentium P-III PC. These results indicate that the simulation technique outlined in the present paper can be used in simpler situations to provide a rough basis for design calculations. We also discuss the effects of hydrodynamic interactions on the simulations.