The positions and orientations of the tool and workpiece are analyzed for machining axisymmetric aspheric concave surface and the position and orientation matrixes of the workpiece and the tool are obtained. The relationship between the tool and the workpiece is set up by using the method of coordinate transformation. The basic modules and the necessary motions for generating axisymmetric aspheric concave surface are clarified. And the possible structural configurations of the machine tool are proposed and optimized. The results in this paper facilitate the innovation design of a machine tool for generating axisymmetric aspheric concave surface.
The geometry relationship of parameters in double-rocker mechanism is deduced. Utilizing Euler-Savary Formula, the double-rocker mechanism with horizontal uniform rectilinear motion is designed. The horizontal uniform rectilinear properties of the mechanism are analyzed. The mapping principle between parameters and the mechanism output motion is clarified. And the design method and principle for double-rocker mechanism with horizontal uniform rectilinear motion is proposed. The results in this paper facilitate the innovation design of double-rocker mechanism with horizontal uniform rectilinear motion.
Kinematic characteristics of Hoeken mechanism is analyzed. Variable ratio transmission characteristics of elliptical gear is obtained. Elliptical geared Hoeken mechanism is presented. Kinematic characteristics of elliptical geared Hoeken mechanism is clarified. Eccentricity is optimized. The elliptical geared Hoeken mechanism with approximate uniform rectilinear motion is designed. The methods in this paper facilitate the innovation design of the mechanism with approximate uniform rectilinear motion.
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