Based on Stwart platform
mechanism, Stewart platform mechanism with six rods and six degrees of freedom is evolved into Stewart
platform with three rods and three degrees of freedom,it is a simplifed form of Stewart platform. Combining this
mechanism with machine tool mechanism,
imaginary axle machine tool construction model with three degrees of freedom is established according to theory of kinetics and mathematics, a kinetics equation is set up, the influence of mechanism construction parameters for working space of machine tool is analyzed. Relation curves of every influence factor for working space of machine tool are drawn by computer simulation. Change regularity of joint swing angle is studied when movable platform moves in space. In order to test and verify analytical result of imaginary axle machine tool on theory, matlab software is applied to simulate working space of imaginary axle machine tool. Thus, the range of movement of the imaginary axle machine tool in X, Y, Z three directions is determined in space. Fundamental research work is done to utilize robotology in the domain of machine tool.