@article{863.70003, title = {Semi-numerical solution to 6/6-Stewart-platform kinematics based on symmetry. }, author = {S. Egner}, journal = {Appl. Algebra Eng. Commun. Comput.}, number = {6}, pages = {449-468}, volume = {7}, year = {1996}, biburl = {http://www.bibsonomy.org/bibtex/215260d9a3b4fdcf68375897c0486c9c8/dmartins}, description = {robotica-bib}, abstract = {The direct and inverse kinematics of the 6/6-Stewart-platform architecture drawn opposite are considered. A fast and self-contained numerical algorithm is designed to compute the kinematic transformations. The design exploits the geometric symmetry of the construction by reducing the involved polynomial equations in a systematic fashion. Two special cases of constant orientation and of constant position are solved in closed form. }, language = {English}, classmath = {*70B15 Mechanisms 70-08 Computational methods (mechanics of particles and systems)}, keywords = {Newton's and architectures; closed-loop constant direct equations; inverse kinematic kinematics; manipulators; method; orientation; parallel polynomial position quaternions; symmetry; transformations; } }