In *Proceedings of the 35th Southeastern Symposium on System Theory, 2003.*, pages 347–351, March, 2003.

doi abstract bibtex

doi abstract bibtex

In this article the authors study the spatial stiffness of passive compliance mechanisms. The mechanisms under consideration are characterized by the 6 by 6 spatial stiffness matrix. Several algorithms for realizations of spatial stiffness matrices are examined. The stiffness constants of the realization are related to the eigenvalues of the linear force portion of the stiffness matrix. Finally, a new method is presented for determining minimal realizations of an arbitrarily specified stiffness dominated spatial impedance. The resulting mechanism is constructed with a parallel connection of simple passive springs that are purely translational or purely rotational.

@inproceedings{roberts_algorithms_2003, title = {Algorithms for passive compliance mechanism design}, doi = {10.1109/SSST.2003.1194589}, abstract = {In this article the authors study the spatial stiffness of passive compliance mechanisms. The mechanisms under consideration are characterized by the 6 by 6 spatial stiffness matrix. Several algorithms for realizations of spatial stiffness matrices are examined. The stiffness constants of the realization are related to the eigenvalues of the linear force portion of the stiffness matrix. Finally, a new method is presented for determining minimal realizations of an arbitrarily specified stiffness dominated spatial impedance. The resulting mechanism is constructed with a parallel connection of simple passive springs that are purely translational or purely rotational.}, booktitle = {Proceedings of the 35th {Southeastern} {Symposium} on {System} {Theory}, 2003.}, author = {Roberts, R. G. and Shirey, T. A.}, month = mar, year = {2003}, keywords = {Algorithm design and analysis, Eigenvalues and eigenfunctions, Impedance, Manufacturing, Robotic assembly, Robotics, Robots, Springs, eigenvalues, elastic constants, force control, manipulators, passive compliance mechanism, passive springs, position control, robot dynamics, spatial impedance, spatial stiffness matrix, stiffness constants}, pages = {347--351} }

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