Abstract：The workspace analysis is an important task in the design and assessment of parallel mechanism. Aiming at 3-PRS complexity of workspace description and the computation of parallel mechanism, Monte Carlo method is adopted to compute and analyze the workspace. The movement and workspace feature were analyzed, the computing algorithm to the workspace utilization was presented, and the detailed computing procedure was also shown. The algorithm is finally verified through a computing example. The result shows that ( 1) the analysis of 3-PRS workspace has features of conveniently programming and uniform points in the workspace, ( 2) the tool length has a heavy effect on the workspace, and ( 3) the information of three orientation angles and X, Y coordination values can be presented in a two-dimension graph that is intuitive, visualizable and easy to be enquired.

Keyword：3-PRS parallel mechanism;workspace;monte carlo method;position and orientation;