Abstract
The paper presents first structural synthesis aspects of serial redundant open kinematic chains for industrial robots. These chains are obtained from 3-axis positioning kinematic chains that create non-degenerate workspaces plus first a rotation or translation coupling in parallel or perpendicular position, obtaining structures with 7-axis, to which by adding in the same way one more rotation or translation coupling structures with 8 axes are obtained. Below we present the direct kinematics analysis for this kinematic chain using the homogeneous operators’ method. This method is based on the use of homogeneous translation or rotation operators and covering the kinematic chain from the base to the characteristic point at its end by a mobile reference system. Based on linear and angular dimensions expressed in matrix by corresponding homogeneous operators we obtain the matrix of the robot characteristic point coordinates in the fixed reference system attached to the robot base. Thus, direct kinematics is solved qualitatively. For a set of numerical values, we obtain a quantitative solution.
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